Kun XU
徐昆
PhD in Astronomy
Columbia University, 1993
Head and Chair Professor
Department of Mathematics
Chair Professor
Department of Mechanical and Aerospace Engineering
(852) 2358 7433
makxu@ust.hk
Room 3444
Personal Web
Google Scholar
dRlBzscAAAAJ
ORCID
0000-0002-3985-739X
ResearcherID
F-7627-2011
Scopus ID
57205685282
Research Interest Publications Projects Teaching Assignment RPG Supervision Space used
Research Interest
Computational fluid dynamics
High-order compact schemes for Navier-Stokes equations
Multiscale modeling and gas-kinetic schemes
Non-equilibrium transport and rarefied flow
Publications
All Years 230 2022 2 2021 14 2020 17 2019 10 2018 9 2017 16 2016 162
2022 2
Comparison of the Performance of High-Order Schemes Based on the Gas-Kinetic and HLLC Fluxes
Journal of Computational Physics, v. 448, 1 January 2022, article number 110706
Yang, Xiaojian; Ji, Xing; Shyy, Wei; Xu, Kun Article
High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows
Journal of Computational Physics, v. 448, January 2022, article number 110739
Cao, Guiyu; Pan, Liang; Xu, Kun Article
2021 14
A Gradient Compression-Based Compact High-Order Gas-Kinetic Scheme on 3D Hybrid Unstructured Meshes
International Journal of Computational Fluid Dynamics, October 2021
Ji, Xing; Shyy, Wei; Xu, Kun Article
An Arbitrary-Lagrangian-Eulerian High-Order Gas-Kinetic Scheme for Three-Dimensional Computations
Journal of Scientific Computing, v. 88, (1), July 2021, article number 8
Pan, Liang; Xu, Kun Article
Compact High-Order Gas-Kinetic Scheme for Three-Dimensional Flow Simulations
AIAA Journal, v. 59, (8), August 2021, p. 2979-2996
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun Article
Fourth-order gas-kinetic scheme for turbulence simulation with multi-dimensional WENO reconstruction
Computers and Fluids, v. 221, May 2021, article number 104927
Pan, Liang; Cao, Guiyu; Xu, Kun Article
GKS and UGKS for high-speed flows
Aerospace, v. 8, (5), May 2021, article number 141
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Article
High-order gas-kinetic scheme on three-dimensional unstructured meshes for compressible flows
Physics of Fluids, v. 33, (9), 8 September 2021, article number 096102
Yang, Yaqing; Pan, Liang; Xu, Kun Article
Modeling and computation for non-equilibrium gas dynamics: Beyond single relaxation time kinetic models
Physics of Fluids, v. 33, (1), January 2021, article number 011703
Xu, Xiaocong; Chen, Yipei; Xu, Kun Article
Progress of discrete unified gas-kinetic scheme for multiscale flows
Advances in Aerodynamics, v. 3, (1), February 2021, article number 6
Guo, Zhaoli; Xu, Kun Article
The study of shallow water flow with bottom topography by high-order compact gas-kinetic scheme on unstructured mesh
Physics of Fluids, v. 33, (8), August 2021, article number 083613
Zhao, Fengxiang; Gan, Jianping; Xu, Kun Article
Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget
Journal of Computational Physics, v. 439, August 2021, article number 110402
Cao, Guiyu; Pan, Liang; Xu, Kun Article
Unified Gas-Kinetic Wave-Particle Methods IV: Multi-Species Gas Mixture And Plasma Transport
Advances in Aerodynamics, v. 3, (1), 12 April 2021, article number 9
Liu, Chang; Xu, Kun Article
Unified gas-kinetic wave-particle methods V: Diatomic molecular flow
Journal of Computational Physics, v. 442, October 2021, article number 110496
Xu, Xiaocong; Chen, Yipei; Liu, Chang; Li, Zhihui; Xu, Kun Article
高階氣體動理學格式在湍流數值模擬中的應用
空氣動力學學報=Acta Aerodynamica Sinica, v. 39, (1), February 2021, p. 168-176
曹貴瑜; 潘亮; 徐昆 Article
A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes / by Kun Xu. UK: Cambridge University Press, 2021. Book Series: Elements in Aerospace Engineering
Xu, Kun Book
2020 17
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh
Journal of Computational Physics, v. 410, June 2020, article number 109367
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun Article
A Three-dimensional Unified Gas-kinetic Wave-particle Solver for Flow Computation in All Regimes
Physics of Fluids, v. 32, (9), 1 September 2020, article number 096108
Chen, Yipei; Zhu, Yajun; Xu, Kun Article
A Unified Gas-kinetic Scheme for Micro Flow Simulation Based on Linearized Kinetic Equation
Advances in Aerodynamics, v. 2, (1), December 2020, article number 21
Liu, Chang; Xu, Kun Article
A Velocity-Space Adaptive Unified Gas Kinetic Scheme for Continuum and Rarefied Flows
Journal of Computational Physics, 109535, 2020
Xiao, Tianbai; Liu, Chang; Xu, Kun; Cai, Qingdong Article
A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential
Communications in Computational Physics, v. 28, (3), September 2020, p. 902-906
Chen, Songze; Guo, Zhaoli; Xu, Kun Article
An Acoustic and Shock Wave Capturing Compact High-Order Gas-Kinetic Scheme with Spectral-Like Resolution
International Journal of Computational Fluid Dynamics, 23 September 2020
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun Article
High-Order ALE Gas-Kinetic Scheme with WENO Reconstruction
Journal of Computational Physics, v. 417, September 2020, article number 109558
Pan, Liang; Zhao, Fengxiang; Xu, Kun Article
High-order gas-kinetic scheme in curvilinear coordinates for the Euler and Navier-Stokes solutions
Communications in Computational Physics, v. 28, (4), August 2020, p. 1321-1351
Pan, Liang; Xu, Kun Article
High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions
Computers and Fluids, v. 198, February 2020, article number 104401
Pan, Liang; Xu, Kun Article
Multiscale Simulation for the System of Radiation Hydrodynamics
Journal of Scientific Computing, v. 85, (2), 19 October 2020, article number 25
Sun, Wenjun; Jiang, Song; Xu, Kun; Cao, Guiyu Article
Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction
Communications in Computational Physics, v. 28, (2), August 2020, p. 539-590
Ji, Xing; Xu, Kun Article
Ray effect in rarefied flow simulation
Journal of Computational Physics, v. 422, 1 December 2020, article number 109751
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Article
Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation
Communications in Computational Physics, v. 28, (3), September 2020, p. 1189-1218
Tan, Shuang; Sun, Wenjun; Xu, Kun; Wei, Junxia; Ni, Guoxi Article
Unified Gas-kinetic Wave-particle Methods I: Continuum and Rarefied Gas Flow
Journal of Computational Physics, v. 401, January 2020, article number 108977
Liu, Chang; Zhu, Yajun; Xu, Kun Article
Unified gas-kinetic wave-particle methods III: Multiscale photon transport
Journal of Computational Physics, v. 408, 1 May 2020, article number 109280
Li, Weiming; Liu, Chang; Zhu, Yajun; Zhang, Jiwei; Xu, Kun Article
离散时空直接建模思想及其在模拟多尺度输运中的应用
空氣動力學學報=Acta Aerodynamica Sinica, v. 38, (2), April 2020, p. 197-216
刘畅; 徐昆 Article
Fifth-order finite-volume weno on cylindrical grids
Lecture Notes in Computational Science and Engineering, v. 134, 12 August 2020, p. 637-648
Shadab, Mohammad Afzal; Ji, Xing; Xu, Kun Conference paper
2019 10
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows VI: Dilute Disperse Gas-particle Multiphase System
Journal of Computational Physics, v. 386, June 2019, p. 264-295
Liu, Chang; Wang, Zhao; Xu, Kun Article
A Unified Gas-kinetic Scheme for Multiscale and Multicomponent Flow Transport
Applied Mathematics and Mechanics (English Edition), v. 40, (3), March 2019, p. 355-372
Xiao, Tianbai; Xu, Kun; Cai, Qingdong Article
An Implicit Unified Gas-kinetic Scheme for Unsteady Flow in All Knudsen Regimes
Journal of Computational Physics, v. 386, June 2019, p. 190-217
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Article
Compact Higher-Order Gas-Kinetic Schemes with Spectral-Like Resolution for Compressible Flow Simulations
Advances in Aerodynamics, v. 1, (1), 6 June 2019, article number 13
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun Article
Fifth order finite volume WENO in general orthogonally - curvilinear coordinates
Computers and Fluids, v. 190, August 2019, p. 398-424
Shadab, Mohammad Afzal; Balsara, Dinshaw S.; Shyy, Wei; Xu, Kun Article
Implicit High-order Gas Kinetic Scheme for Turbulence Simulation
Aerospace Science and Technology, v. 92, September 2019, p. 958-971
Cao, Guiyu; Su, Hongmin; Xu, Jinxiu; Xu, Kun Article
Limitation principle for computational fluid dynamics
Shock Waves, v. 29, (8), November 2019, p. 1083-1102
Liu, Chang; Zhou, Guangzhao; Shyy, Wei; Xu, Kun Article
Three Dimensional High-order Gas-kinetic Scheme for Supersonic Isotropic Turbulence I: Criterion for Direct Numerical Simulation
Computers and Fluids, v. 192, October 2019, article number 104273
Cao, Guiyu; Pan, Liang; Xu, Kun Article
Unified gas-kinetic wave-particle methods. II. Multiscale simulation on unstructured mesh
Physics of Fluids, v. 31, (6), June 2019, article number 067105
Zhu, Yajun; Liu, Chang; Zhong, Chengwen; Xu, Kun Article
类探月返回试验器稀薄气体电离特性分析
空气动力学学报=Acta Aerodynamica Sinica, v. 37, (6), December 2019, p. 924-930
方明; 李丹杨; 徐昆 Article
2018 9
A Compact Fourth-order Gas-kinetic Scheme for the Euler and Navier–stokes Equations
Journal of Computational Physics, v. 372, November 2018, p. 446-472
Ji, Xing; Pan, L.; Shyy, Wei; Xu, Kun Article
A Family of High-order Gas-kinetic Schemes and Its Comparison With Riemann Solver Based High-order Methods
Journal of Computational Physics, v. 356, March 2018, p. 150-173
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun Article
A unified gas-kinetic scheme for axisymmetric flow in all Knudsen number regimes
Journal of Computational Physics, v. 366, August 2018, p. 144-169
Li, shiyi; Li, qibing; Fu, song; Xu, Kun Article
An Efficient High-order Finite Difference Gas-kinetic Scheme for the Euler and Navier–stokes Equations
Computers & Fluids, v. 166, 30 April 2018, p. 243-252
Xuan, li-jun; Xu, Kun Article
An Investigation of Non-equilibrium Heat Transport in a Gas System Under External Force Field
International Journal of Heat and Mass Transfer, v. 126, November 2018, p. 362-379, Part A
Xiao, Tianbai; Xu, Kun; Cai, Qingdong; Qian, Tiezheng Article
Grid-converged Solution and Analysis of the Unsteady Viscous Flow in a Two-dimensional Shock Tube
Physics of Fluids, v. 30, (1), January 2018, article number 016102
Zhou, Guangzhao; Xu, Kun; Liu, Feng Article
Physical modeling and numerical studies of three-dimensional non-equilibrium multi-temperature flows
Physics of Fluids, v. 30, (12), December 2018, article number 126104
Cao, Guiyu; Liu, Hualin; Xu, Kun Article
Two-stage fourth-order gas-kinetic scheme for three-dimensional Euler and Navier-Stokes solutions
International Journal of Computational Fluid Dynamics, v. 32, (10), November 2018, p. 395-411
Pan, Liang; Xu, Kun Article
Compact and Three-dimensional Extension of Two-stage Fourth-order Gas-kinetic Scheme
Proceedings of 10th International Conference on Computational Fluid Dynamics (ICCFD10), ICCFD 2018, July 2018, article number ICCFD10-108
Ji, Xing; Pan, L.; Xu, Kun Conference paper
2017 16
A Few Benchmark Test Cases for Higher-Order Euler Solvers
Numerical Mathematics, v. 10, (4), November 2017, p. 711-736
Pan, Liang; Li, Jiequan; Xu, Kun Article
A Gas-kinetic Theory Based Multidimensional High-order Method for the Compressible Navier–Stokes Solutions
Acta Mechanica Sinica, v. 33, (4), August 2017, p. 733-741
Ren, Xiaodong; Xu, Kun; Shyy, Wei Article
A Multidimensional Unified Gas-kinetic Scheme for Radiative Transfer Equations on Unstructured Mesh
Journal of Computational Physics, v.351, 2017, p. 455-472
Sun, Wenjun; Jiang, Song; Xu, Kun Article
A Paradigm for Modeling and Computation of Gas Dynamics
Physics of Fluids, v. 29, (2), February 2017, article number 026101
Xu, Kun; Liu, Chang Article
A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
Communications in Computational Physics, v. 22, (4), October 2017, p. 1123-1149
Pan, Liang; Cheng, Junxia; Wang, Shuanghu; Xu, Kun Article
A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport
Communications in Computational Physics, v. 22, (5), November 2017, p. 1175-1223
Liu, Chang; Xu, Kun Article
A Well-Balanced Unified Gas-Kinetic Scheme for Multiscale Flow Transport under Gravitational Field
Journal of Computational Physics, v. 332, March 2017, p. 475-491
Xiao, Tianbai; Cai, Qingdong; Xu, Kun Article
An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits
Communications in Computational Physics, v. 22, (4), October 2017, p. 889-912
Sun, Wenjun; Jiang, Song; Xu, Kun Article
On the Apparent Permeability of Porous Media in Rarefied Gas Flows
Journal of Fluid Mechanics, v. 822, July 2017, p. 398-417
Wu, Lei; Ho, Minh Tuan; Germanou, Lefki; Gu, Xiao-Jun; Liu, Chang; Xu, Kun; Zhang, Yonghao Article
Simplification of the Flux Function for A High-order Gas-kinetic Evolution Model
Journal of Computational Physics, v. 339, June 2017, p. 146-162
Zhou, Guangzhao; Xu, Kun; Liu, Feng Article
Systematic Study of Packaging Designs on The Performance of CMOS Thermoresistive Micro Calorimetric Flow Sensors
Journal of Micromechanics and Microengineering, v. 27, (8), June 2017, article number 085001
Xu, Wei; Pan, Liang; Gao, Bo; Chiu, Yi; Xu, Kun; Lee, Yi-Kuen Article
To overcome memory barrier of kinetic solvers for non-equilibrium flow study
Science Bulletin, v. 62, (2), January 2017, p. 99-101
Xu, Kun Article
Unified Gas-Kinetic Scheme for Diatomic Molecular Flow with Translational, Rotational, and Vibrational Modes
Journal of Computational Physics, v.350, December 2017, p. 237-259
Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun Article
Unified Gas-kinetic Scheme with Multigrid Convergence for Rarefied Flow Study
Physics of Fluids, v.29, (9), September 2017, article number 096102
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Article
Application of Unified Gas-Kinetic Scheme for Hypersonic Non-Equilibrium Flow
21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017, American Institute of Aeronautics and Astronautics Inc, AIAA, 2017
Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun Conference paper
Validation of Gas-Kinetic Scheme Solver for the Compressible and Incompressible Flows Simulation
21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017, 2017
Liu, Hualin; Guo, Zhongzhou; Chen, Weifang; Xu, Kun Conference paper
2016 11
A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies
Journal of Computational Physics, v. 316, July 2016, p. 700-720
Ren, Xiaodong; Xu, Kun; Shyy, Wei Article
A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier–Stokes solutions
Journal of Computational Physics, v. 318, August 2016, p. 327-348
Pan, Liang; Xu, Kun Article
A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations
Journal of Computational Physics, v. 314, June 2016, p. 305-340
Liu, Chang; Xu, Kun; Sun, Quanhua; Cai, Qingdong Article
An Efficient and Accurate Two-Stage Fourth-Order Gas-Kinetic Scheme for the Euler and Navier–Stokes Equations
Journal of Computational Physics, v. 326, December 2016, p. 197-221
Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan Article
Cartesian Grid Method for Gas Kinetic Scheme on Irregular Geometries
Journal of Computational Physics, v. 326, December 2016, p. 862-877
Chen, Songze; Xu, Kun; Li, Zhihui Article
Discrete unified gas kinetic scheme for multiscale heat transfer based on the phonon Boltzmann transport equation
International Journal of Heat and Mass Transfer, v. 102, November 2016, p. 944-958
Guo, Zhaoli; Xu, Kun Article
Discrete unified gas kinetic scheme on unstructured meshes
Computers and Fluids, v. 127, March 2016, p. 211-225
Zhu, Lianhua; Guo, Zhaoli; Xu, Kun Article
Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes
Journal of Computational Physics, v. 315, June 2016, p. 16-38
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Article
Manganese-tuned chemical etching of a platinum-copper nanocatalyst with platinum-rich surfaces
Journal of Power Sources, v. 304, Feb 2016, p. 74-80
Huang, Yiyin; Zhao, Tianshou; Zhao, Gang; Yan, Xiaohui; Xu, Kun Article
Onsager’s cross coupling effects in gas flows confined to micro-channels
Physical Review Fluids, v. 1, (4), August 2016, article number 044102
Wang, Ruijie; Xu, Xinpeng; Xu, Kun; Qian, Tiezheng Article
Simplification of the unified gas kinetic scheme
Physical Review E, v. 94, (2), August 2016, article number 023313
Chen, Songze; Guo, Zhaoli; Xu, Kun Article
2015 13
A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations
Communications in Computational Physics, v. 18, (4), October 2015, p. 985-1011
Pan, Liang; Xu, Kun Article
A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit
Journal of Computational Physics, v. 288, May 2015, p. 52-65
Chen, Songze; Xu, Kun Article
A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows
Communications in Computational Physics, v. 17, (3), March 2015, p. 657-681
Wang, Peng; Zhu, Lianhua; Guo, Zhaoli; Xu, Kun Article
A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
Advances in Applied Mathematics and Mechanics, v. 7, (2), April 2015, p. 245-266
Chen, Songze; Xu, Kun; Cai, Qingdong Article
A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations
Journal of Computational Physics, v. 292, July 2015, p. 176-193
Ren, Xiaodong; Xu, Kun; Shyy, Wei; Gu, Chuwei Article
A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations
Computers and Fluids, v. 119, September 2015, p. 250-260
Pan, Liang; Xu, Kun Article
An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations
Journal of Computational Physics, v. 302, December 2015, p. 222-238
Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu Article
An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
Journal of Computational Physics, v. 285, March 2015, p. 265-279
Sun, Wenjun; Jiang, Song; Xu, Kun Article
Direct modeling for computational fluid dynamics
Acta Mechanica Sinica/Lixue Xuebao, v. 31, (3), June 2015, p. 303-318
Xu, Kun Article
Discrete unified gas kinetic scheme for all Knudsen number flows. II. Thermal compressible case
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 91, (3), March 2015, article number 033313
Guo, Zhaoli; Wang, Ruijie; Xu, Kun Article
Generalized coordinate transformation and gas-kinetic scheme
Journal of Computational Physics, v. 287, April 2015, p. 207-225
Pan, Liang; Xu, Kun Article
高超声速计算中的气体动理学格式
航空学报=Acta Aeronautica et Astronautica Sinica, v. 36, (1), January 2015, p. 135-146
徐昆; 陈松泽 Article
Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-kinetic Schemes
Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-Kinetic Schemes / by Kun Xu. Singapore: World Scientific Publishing, 2015. Advances in Computational Fluid Dynamics, v. 4.
Xu, Kun Book
2014 8
Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes
Journal of Computational Physics, v. 259, February 2014, p. 96-113
Liu, Sha; Yu, Pubing; Xu, Kun; Zhong, Chengwen Article
Unified gas-kinetic simulation of slider air bearing
Theoretical and Applied Mechanics Letters, v. 4, (2), 2014, article number 022001
Wang, Ruijie; Xu, Kun Article
离散空间直接建模的计算流体力学方法
中国科学:物理学 力学 天文学=Scientia Sinica: Physica, Mechanica & Astronomica, v. 44, (5), 2014, p. 519-530
徐昆; 李启兵; 黎作武 Article
A Cartesian Grid-Based Unified Gas Kinetic Scheme
AIP Conference Proceedings, v. 1628, December 2014, p. 995-1002
Chen, Songze; Xu, Kun Conference paper
A high-order moving mesh gas-kinetic scheme for three-dimensional flows
Eighth International Conference on Computational Fluid Dynamics (ICCFD8), Chengdu, China, 14-18 July 2014
Pan, Liang; Xu, Kun Conference paper
Aspect Ratio Effect on Flow Structure around Rotating Rectangular Wings
7th Across-Strait Workshop on Shock/Vortex Interaction, Tamshui, Taiwan, 23-28 June 2014
Fu, Jujiang; Pan, Liang; Qiu, Huihe; Xu, Kun; Shyy, Wei Conference paper
Study of Vacuum Gas Flows with the Unified Gas-Kinetic Scheme
AIP Conference Proceedings, v. 1628, (1), December 2014, Volume title: Proceedings of the 29th International Symposium on Rarefied Gas Dynamics
Luo, Xueli; Wang, Ruijie; Day, Christian; Xu, Kun Conference paper
Unified Gas-kinetic Scheme for Multi-species Non-equilibrium Flow
AIP Conference Proceedings, v. 1628, (1), December 2014, p. 970-975
Wang, Ruijie; Xu, Kun Conference paper
2013 7
A high-order multidimensional gas-kinetic scheme for hydrodynamic equations
Science China Technological Sciences, v. 56, (10), October 2013, p. 2370-2384
Luo, Jun; Xu, Kun Article
A new gas-kinetic scheme based on analytical solutions of the BGK equation
Journal of Computational Physics, v. 234, (1), 2013, p. 524-539
Xuan, Li-Jun; Xu, Kun Article
A unified gas-kinetic scheme for continuum and rarefied flows III: Microflow simulations
Communications in Computational Physics, v. 14, (5), November 2013, p. 1147-1173
Huang, Juan-Chen; Xu, Kun; Yu, Pubing Article
Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation
Communications in Computational Physics, v. 14, (3), September 2013, p. 599-620
Luo, Jun; Xuan, Lijun; Xu, Kun Article
Discrete unified gas kinetic scheme for all Knudsen number flows: Low-speed isothermal case
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 88, (3), September 2013, article number 033305
Guo, Zhaoli; Xu, Kun; Wang, Ruijie Article
Kinetic Node-Pair Formulation for Two-Dimensional Flows from Continuum to Transitional Regime
AIAA Journal, v. 51, (4), April 2013, p. 784-796
Fossati, Marco; Guardone, Alberto; Vigevano, Luigi; Xu, Kun Article
On the remedy against shock anomalies in kinetic schemes
Journal of Computational Physics, v. 255, December 2013, p. 106-129
Ohwada, Taku; Adachi, Ryo; Xu, Kun; Luo, Jun Article
2012 8
A unified gas kinetic scheme with moving mesh and velocity space adaptation
Journal of Computational Physics, v. 231, (20), August 2012, p. 6643-6664
Chen, Songze; Xu, Kun; Lee, Cunbiao; Cai, Qingdong Article
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases
Communications in Computational Physics, v. 12, (3), September 2012, p. 662-690
Huang, Juanchen; Xu, Kun; Yu, Pubing Article
Multiple temperature kinetic model and its applications to micro-scale gas flows
Computers & Fluids, v. 67, August 2012, p. 115-122
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing Article
The dynamic mechanism of a moving Crookes radiometer
Physics of Fluids, v. 24, (11), November 2012, article number 111701
Chen, Songze; Xu, Kun; Lee, Cunbiao Article
The study of sound wave propagation in rarefied gases using unified gas-kinetic scheme
Acta Mechanica Sinica, v. 28, (4), August 2012, p. 1022-1029
Wang, Ruijie; Xu, Kun Article
氣體動理學格式研究進展
力學進展=Advances in Mechanics, v. 42, (5), 2012, p. 522-537
李啟兵; 徐昆 Article
Computational Fluid Dynamics Based on the Unified Coordinates
Computational Fluid Dynamics Based on the Unified Coordinates
Hui, Wai How; Xu, Kun Book
Unified Treatment of Rarefied and Continuum Fluid Flows
Encyclopedia of Aerospace Engineering / Editors-in-chief: Richard Blockley, Wei Shyy. Chichester, West Sussex, U.K. : Wiley, 2010
Xu, Kun Book chapter
2011 8
A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations Under Gravitational Field
SIAM Journal on Scientific Computing, v. 33, (5), 2011, p. 2356-2381
Luo, Jun; Xu, Kun; Liu, Na Article
An improved unified gas-kinetic scheme and the study of shock structures
IMA Journal of Applied Mathematics, v. 76, (5), October 2011, p. 698-711
Xu, Kun; Huang, Juan-Chen Article
Comparison of the Generalized Riemann Solver and the Gas-kinetic Scheme for Inviscid Compressible Flow Simulations
Journal of Computational Physics, v. 230, (12), June 2011, p. 5080-5099
Li, Jiequan; Li, Qibing; Xu, Kun Article
Multiple Temperature Gas Dynamic Equations for Non-equilibrium Flows
Journal of Computational Mathematics, v. 29, (6), 2011, p. 639-660
Xu, Kun; Guo, Zhaoli Article
A New High-Order Multidimensional Scheme
Computational Fluid Dynamics 2010, Editor: Alexander Kuzmin. Berlin, Heidelberg : Springer-Verlag, 2011, p. 629-635
Li, Qibing; Xu, Kun; Fu, Song Conference paper
A Symplectic-preserving Gas-kinetic Scheme for Hydrodynamic Equations under external forcing Field
AIP Conference Proceedings, v. 1333, May 2011, p. 916-921
Luo, Jun; Xu, Kun Conference paper
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows
AIP Conference Proceedings, v. 1333, May 2011, p. 525-530
Xu, Kun; Huang, J.C. Conference paper
Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach
17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference, The American Institute of Aeronautics and Astronautics, 2011
Fossati, Marco; Vigevano, Luigi; Xu, Kun Conference paper
2010 8
A high-order gas-kinetic Navier-Stokes flow solver
Journal of Computational Physics, v. 229, (19), September 2010, p. 6715-6731
Li, Qibing; Xu, Kun; Fu, Song Article
A Three Dimensional Gas-Kinetic Scheme with Moving Mesh for Low-Speed Viscous Flow Computations
Advances in applied mathematics and mechanics, v. 2, (6), December 2010, p. 746-762
Jin, Changqiu; Xu, Kun; Chen, Songze Article
A unified gas-kinetic scheme for continuum and rarefied flows
Journal of Computational Physics, v. 229, (20), October 2010, p. 7747-7764
Xu, Kun; Huang, Juan-Chen Article
A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field
Advances in Applied Mathematics and Mechanics, v. 2, (2), April 2010, p. 200-210
Xu, Kun; Luo, Jun; Chen, Songze Article
Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics
Numerical Mathematics: Theory, Methods and Applications, v. 3, (4), November 2010, p. 387-404
Tang, Huazhong; Xu, Kun; Cai, Chunpei Article
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
International Journal of Hypersonics, v. 1, (3), September 2010, p. 157-172
Xu, Kun; Sun, Quanhua; Yu, Pubing Article
A High-order Gas-Kinetic Navier-Stokes Flow Solver
Proceedings 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics, 2010
Li, Qibing; Xu, Kun Conference paper
A Multiple Temperature Kinetic Model and Its application to Micro-scale Gas Flow Simulations
The 13th Asian Congress of Fluid Mechanics Conference, Dhaka, Bangladesh, 17-21 December 2010
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing Conference paper
2009 8
A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids
Advances in applied mathematics and mechanics, v. 1, (3), June 2009, p. 301-318
Luo, Hong; Luo, Luqing; Xu, Kun Article
GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES
MODERN PHYSICS LETTERS B, v. 23, (3), 2009, JAN 30, p. 237-240
Xu, Kun; Guo, Zhaoli Article
Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow
Advances in applied mathematics and mechanics, v. 1, (3), June 2009, p. 391-401
Guo, Zhaoli; Xu, Kun Article
Remapping-free ALE-type kinetic method for flow computations
Journal of computational physics, v. 228, (8), 2009, MAY 1, p. 3154-3171
Ni, Guoxi; Jiang, Song; Xu, Kun Article
A discontinuous galerkin method based on a gas kinetic scheme for the navier-stokes equations on arbitrary grids
Computational Fluid Dynamics 2008, 2009, p. 423-428
Luo, Hong; Xu, Kun Conference paper
Development of a discontinuous Galerkin method for computational fluid dynamics
47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2009
Lno, Hong; Luo, Luqing; Xu, Kun Conference paper
Extended gas dynamic equations with multiple translational temperature
AIP Conference Proceedings, v. 1084, 2009, p. 69-74
Xu, Kun; Guo, Zhaoli Conference paper
Generalized gas dynamic equations
47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2009
Xu, Kun; Guo, Zhaoli Conference paper
2008 11
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows
Journal of computational physics, v. 227, (10), 2008, MAY 1, p. 4955-4976
Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun Article
A DGBGK scheme based on WENO limiters for viscous and inviscid flows
Journal of computational physics, v. 227, (11), 2008, MAY 10, p. 5799-5815
Ni, Guoxi; Jiang, Song; Xu, Kun Article
A generalized Bhatnagar-Gross-Krook model for nonequilibrium flows
Physics of Fluids, v. 20, (2), February 2008, article number 026101
Xu, Kun Article
A Multiple Temperature Kinetic Model and its Application to Near Continuum Flows
Communications in computational physics, v. 4, (5), 2008, NOV, p. 1069-1085
Xu, Kun; Liu, Hongwei Article
Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes
Journal of computational physics, v. 227, (6), 2008, MAR 1, p. 3015-3031
Ni, Guoxi; Jiang, Song; Xu, Kun Article
Modified gas-kinetic scheme for shock structures in argon
Progress in computational fluid dynamics, v. 8, (1-4), 2008, p. 97-108
Liao, Wei; Peng, Yan; Luo, Li-Shi; Xu, Kun Article
Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations
Journal of computational physics, v, 227, (14), July 2008, p. 6779-6794
Xu, Kun; He, Xin; Cai, Chunpei Article
Numerical study of the unsteady aerodynamics of freely falling plates
Communications in computational physics, v. 3, (4), 2008, APR, p. 834-851
Jin, Changqiu; Xu, Kun Article
One-dimensional multiple-temperature gas-kinetic Bhatnagar-Gross-Krook scheme for shock wave computation
AIAA journal, v. 46, (5), 2008, MAY, p. 1054-1062
Cai, Chunpei; Liu, Danny D.; Xu, Kun Article
A BGK-based discontinuous Galerkin method for the Navier-Stokes equations on arbitrary grids
46th AIAA Aerospace Sciences Meeting and Exhibit, 2008
Luo, Hong; Xu, Kun Conference paper
Multiple temperature kinetic model for near continuum flows
46th AIAA Aerospace Sciences Meeting and Exhibit, 7-10, Jan 2008
Xu, Kun; Liu, Hongwei Conference paper
2007 15
A gas-kinetic discontinuous Galerkin method for viscous flow equations
Journal of Mechanical Science and Technology, v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1344-1351
Liu, Hongwei; Xu, Kun Article
A Runge-Kutta discontinuous Galerkin method for viscous flow equations
Journal of computational physics, v. 224, (2), 2007, JUN 10, p. 1223-1242
Liu, Hongwei; Xu, Kun Article
A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
Journal of computational physics, v. 226, (2), October 2007, p. 2003-2027
Tian, C.T.; Xu, Kun; Chan, Kwinglam; Deng, Licai Article
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation
Journal of computational physics, v. 222, (1), March 2007, p. 155-175
Jin, Changqiu; Xu, Kun Article
Gas-kinetic scheme for continuum and near-continuum hypersonic flows
Journal of spacecraft and rockets, v. 44, (6), 2007, NOV-DEC, p. 1232-1240
Liao, Wei; Luot, Li-Shi; Xu, Kun Article
High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics
Journal of computational physics, v. 227, (2), 2007, DEC 10, p. 967-982
Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun Article
Multiple temperature model for near continuum flows
Journal of Mechanical Science and Technology, v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1376-1382
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng Article
Multiple-temperature kinetic model for continuum and near continuum flows
Physics of fluids, v. 19, (1), 2007, JAN
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng Article
Multiscale gas-kinetic simulation for continuum and near-continuum flows
Physical Review E, v. 75, (1), January 2007
Xu, Kun; Liu, Hongwei Article
Development of a 2D/AXI kinetic BGK scheme for hypersonic nonequilibrium flow computations
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 13, 2007, p. 8863-8873
Cai, Chunpei; Liu, Danny D.; Xu, Kun Conference paper
Gas kinetic scheme for continuum and near-continuum hypersonic flows
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 2, 2007, p. 1355-1365
Liao, Wei; Luo, Lishi; Xu, Kun Conference paper
Gas-kinetic BGK Scheme for three dimensional magnetohydrodynamics
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 24, 2007, p. 16989-17006
Cai, Chunpei; Xu, Kun Conference paper
Multiple temperature kinetic model for continuum and near continuum flows
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 11, 2007, p. 7497-7510
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng Conference paper
Multiple temperature kinetic model for non-equilibrium flow computations
Collection of Technical Papers - 39th AIAA Thermophysics Conference, v. 2, 2007, p. 1408-1425
Xu, Kun; He, Xin; Cai, Chunpei Conference paper
Non-equilibrium Shock Structure Computation with a Kinetic BGK Scheme
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 11, 2007, p. 7368-7380
Cai, Chunpei; Liu, Danny D.; Xu, Kun Conference paper
2006 10
An adaptive grid method for two-dimensional viscous flows
Journal of computational physics, v. 218, (1), 2006, OCT 10, p. 68-81
Jin, Changqiu; Xu, Kun Article
Continuum formulation for non-equilibrium shock structure calculation
Communications in computational physics, v. 1, (3), 2006, JUN, p. 425-448
Xu, Kun; Josyula, Eswar Article
Gas-kinetic scheme for rarefied flow simulation
Mathematics and computers in simulation, v. 72, (2-6), 2006, SEP 9, p. 253-256
Xu, Kun; Josyula, Eswar Article
Linear and nonlinear analysis of shallow wakes
Journal of fluid mechanics, v. 548, 2006, FEB 10, p. 309-340
Ghidaoui, Mohamed Salah; Kolyshkin, Andrei A.; Liang, Junhong; Chan, Franky Cathleen; Li, Qiu; Xu, Kun Article
Stability and consistency of kinetic upwinding for advection-diffusion equations
IMA journal of numerical analysis, v. 26, (4), 2006, OCT, p. 686-722
Torrilhon, Manuel; Xu, Kun Article
The gas-kinetic scheme for shallow water equations* * Project supported by the Hong Kong Research Grant Council (HKUST6102/04E, 6210/05E).
Journal of Hydrodynamics, v. 18, (3 SUPPL.), 2006, p. 73-76
Xu, Kun Article
The numerical study of roll-waves in inclined open channels and solitary wave run-up
International journal for numerical methods in fluids, v. 50, (9), 2006, MAR 30, p. 1003-1027
Que, Yin T.; Xu, Kun Article
三角形网格下求解二维浅水方程的KFVS格式
水利学报=Journal of Hydraulic Engineering, v. 2006, (07), 2006, p. 858-864
潘存鴻; 徐昆 Article
A one-dimensional multiple-temperature Gas-Kinetic BGK scheme for shock wave computation
A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference, v. 1, 2006, p. 1-13
Cai, Chunpei; Liu, Danny; Xu, Kun Conference paper
A two-dimensional GasKinetic BGK scheme for hypersonic thermal non-equilibrium flow computations
A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference, v. 1, 2006, p. 548-558
Cai, Chunpei; Liu, Danny; Xu, Kun Conference paper
2005 9
A compressible Navier-Stokes flow solver with scalar transport
Journal of computational physics, v. 204, (2), 2005, APR 10, p. 692-714
Li, Qibing; Fu, Song; Xu, Kun Article
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of computational physics, v. 203, (2), 2005, MAR 1, p. 405-421
Xu, Kun; Mao, Meiliang; Tang, Lei Article
Application of gas-kinetic scheme with kinetic boundary conditions in hypersonic flow
AIAA journal, v. 43, (10), 2005, OCT, p. 2170-2176
Li, Qibing; Fu, Song; Xu, Kun Article
Multiple translational temperature model and its shock structure solution
Physical Review E, v. 71, (5), May 2005
Xu, Kun; Josyula, Eswar Article
The application of gas-kinetic BGK scheme in near continuum flow regime
Acta Aerodynamica Sinica, 23, pp. 317-321
Mao, Meiliang; Xu, Kun; Deng, Xiaogang Article
动能BGK算法在近连续流模拟中的应用
空气动力学学报=Acta Aerodynamica Sinica, v. 2005, (03), 2005, p. 317-321
毛枚良; 徐昆; 鄧小剛 Article
Gas-kinetic model for Navier-Stokes solutions with multiple translational temperature
35th AIAA Fluid Dynamics Conference and Exhibit, Canada, June
Xu, Kun; Joysula, Eswar Conference paper
Non-equilibrium relaxation in high temperature gas flows
3rd MIT Conference on Computational Fluid and Solid Mechanics, Boston, June
Josyula, Eswar; Xu, Kun Conference paper
Testing continuum and non-continuum descriptions in high speed flows
AIP Conference Proceedings, v. 762, 2005, p. 1217-1222
Josyula, Eswar; Xu, Kun; Wadsworth, Dean C. Conference paper
2004 9
A gas-kinetic scheme for shallow-water equations with source terms
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 55, (3), 2004, MAY, p. 365-382
Tang, Huazhong; Tang, Tao; Xu, Kun Article
A gas-kinetic scheme for shallow-water equations with source terms
Zeitschrift fur angewandte Mathematik und Physik ZAMP, v. 55, (3), May 2004, p. 365-382
Tang, Huazhong; Tang, Tao; Xu, Kun Article
Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems
SIAM journal on scientific computing, v. 25, (6), 2004, p. 1941-1963
Xu, Kun Article
Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions
Journal of fluid mechanics, v. 513, 2004, AUG 25, p. 87-110
Xu, Kun; Li, Zhihui Article
Nonequilibrium Bhatnagar-Gross-Krook model for nitrogen shock structure
Physics of fluids, v. 16, (10), 2004, OCT, p. 3824-3827
Xu, Kun; Tang, Lei Article
The kinetic scheme for the full-Burnett equations
Journal of computational physics, v. 201, (1), 2004, NOV 20, p. 315-332
Ohwada, Taku; Xu, Kun Article
Gas-kinetic BGK scheme for hypersonic viscous flow
Computational Fluid Dynamics 2004, Proceedings, 2004, p. 183-188
Xu, Kun; Mao, Mei-Liang Conference paper
Nonequilibrium Relaxation in High Speed Flows
37th AIAA Thermophysics Conference, Portland, Oregon, Paper 2004-2468, June 28-July 1
Josyula, Eswar; Bailey, W.F.; Xu, Kun Conference paper
Unified gas-kinetic computational algorithm for continuum and rarefied flows
AIAA Paper, 2004, p. 7655-7666
Tang, Lei; Xu, Kun Conference paper
2003 4
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
Journal of computational physics, v. 190, (1), 2003, SEP 1, p. 100-117
Xu, Kun; He, Xiaoyi Article
Super-Burnett solutions for Poiseuille flow
Physics of fluids, v. 15, (7), 2003, JUL, p. 2077-2080
Xu, Kun Article
Kinematic and dynamic dissipation in shock capturing schemes
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, p. 1201-1204
Xu, Kun Conference paper
Laminar Hypersonic Viscous Flow Calculations using Gas-kinetic BGK Scheme
National Fluid Mechanics Workshop for Young Scientists, Xi'an, November 8-11
Xu, Kun; Mao, M.L. Conference paper
2002 4
A slope-update scheme for compressible flow simulation
Journal of computational physics, v. 178, (1), 2002, MAY 1, p. 252-259
Xu, Kun Article
A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
Journal of computational physics, v. 178, (2), 2002, MAY 20, p. 533-562
Xu, Kun Article
KFVS method for one-dimensional shallow water equation
Journal of Hydrodynamics (Chinese), A17(2), 140-147
Xu, Kun; Pan, Chunhong Article
Regularization of the Chapman-Enskog expansion and its description of shock structure
Physics of Fluids, v. 14, (4), 2002
Xu, Kun Article
2001 11
A Boltzmann based model for open channel flows
International journal for numerical methods in fluids, v. 35, (4), 2001, FEB 28, p. 449-494
Ghidaoui, Mohamed Salah; Deng, Jiaquan; Gray, William G.; Xu, Kun Article
A Boltzmann-based mesoscopic model for contaminant transport in flow systems
Advances in water resources, v. 24, (5), 2001, MAY, p. 531-550
Deng, Jiaquan; Ghidaoui, Mohamed Salah; Gray, William G.; Xu, Kun Article
A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
Journal of computational physics, v. 171, (1), 2001, JUL 20, p. 289-335
Xu, Kun Article
A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow
Journal of computational physics, v. 166, (2), 2001, JAN 20, p. 383-399
Xu, Kun Article
Dissipative mechanism in Godunov-type schemes
International journal for numerical methods in fluids, v. 37, (1), 2001, SEP 15, p. 1-22
Xu, Kun; Li, Zuowu Article
Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 52, (1), 2001, JAN, p. 62-78
Lui, S.H.; Xu, Kun Article
Numerical simulations of resonant oscillations in a tube
Numerical HEAT Transfer PART a-applications, v. 40, (1), 2001, JUL, p. 37-54
Tang, Huazhong; Cheng, Ping; Xu, Kun Article
Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 52, (5), 2001, SEP, p. 847-858
Tang, Huazhong; Xu, Kun Article
一类通矢量分裂方法的保正性研究Ⅰ.显式格式
計算數學=Mathematica numerca sinica, v. 23, (4), November 2001, p. 469-476
汤华中; 徐昆 Article
Dissipative mechanism in Godunov method
COMPUTATIONAL FLUID DYNAMICS FOR THE 21ST CENTURY, PROCEEDINGS, v. 78, 2001, p. 309-321
Xu, Kun Conference paper
Gas-kinetic schemes for fluid simulations
COMPUTATIONAL FLUID DYNAMICS 2000, 2001, p. 14-27
Xu, Kun Conference paper
2000 5
A Gas-kinetic Scheme for Multimaterial Flows and its Application in Chemical Reactions
Journal of Computational Physics, v. 163, (2), 2000, SEP 20, p. 349-375
Lian, Yongsheng; Xu, Kun Article
A gas-kinetic scheme for reactive flows
Computers & fluids, v. 29, (7), 2000, SEP, p. 725-748
Lian, Yongsheng; Xu, Kun Article
A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
Journal of computational physics, v. 165, (1), 2000, NOV 20, p. 69-88
Tang, Huazhong; Xu, Kun Article
Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations
Journal of Scientific Computing, v. 15, (1), 2000, p. 19-28
Tang, Huazhong; Xu, Kun Article
用BGK格式计算不可压缩流场
力學學報=Acta mechanica sinica, v. 32, (6), November 2000, p. 641-650
苏铭德; 徐昆; M. ghidaoui Article
1999 7
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 50, (2), 1999, MAR, p. 258-281
Tang, Tao; Xu, Kun Article
Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
Journal of computational physics, v. 153, (2), 1999, AUG 10, p. 334-352
Xu, Kun Article
Low-speed flow simulation by the gas-kinetic scheme
Journal of computational physics, v. 150, (1), 1999, MAR 20, p. 17-39
Su, Mingde; Xu, Kun; Ghidaoui, Mohamed Salah Article
Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit
Physical Review E, v. 60, (1), July 1999
Xu, Kun; Lui, Shiu Hong Article
Unsplitting BGK-type schemes for the shallow water equations
International journal of modern physics C, v. 10, (4), 1999, JUN, p. 505-516
Xu, Kun Article
Does Perfect Riemann Solver Exist?
14th Computational Fluid Dynamics Conference, 1999, p. 771-779
Xu, Kun Conference paper
Gas-kinetic Flux Splitting Method for Ideal Magnetohydrodynamics
14th Computational Fluid Dynamics Conference, 1999, p. 626-635
Xu, Kun Conference paper
1998 3
A gas-kinetic scheme for the Euler equations with heat transfer
SIAM journal on scientific computing, v. 20, (4), 1998, APR 7, p. 1317-1335
Xu, Kun Article
Connection between lattice-Boltzmann equation and beam scheme
International journal of modern physics C, v. 9, (8), 1998, DEC, p. 1177-1187
Xu, Kun; Luo, Lishi Article
Projection dynamics in Godunov-type schemes
Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan Article
1997 3
BGK-based Scheme for Multicomponent Flow Calculations
Journal of Computational Physics, v. 134, (1), June 1997, p. 122-133
Xu, Kun Article
A BGK Solver for Multicomponent Euler Equations
13th Computational Fluid Dynamics Conference, 1997, p. 1206-1215
Xu, Kun Conference paper
An Accurate LED-BGK Solver on Unstructured Adaptive Meshes
35th Aerospace Sciences Meeting and Exhibit, 1997, Article number AIAA
Kim, Chong A.; Jameson, Antony; Martinelli, Luigi; Xu, Kun Conference paper
Article 2
Comparison of the Performance of High-Order Schemes Based on the Gas-Kinetic and HLLC Fluxes
Journal of Computational Physics, v. 448, 1 January 2022, article number 110706
Yang, Xiaojian; Ji, Xing; Shyy, Wei; Xu, Kun
High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows
Journal of Computational Physics, v. 448, January 2022, article number 110739
Cao, Guiyu; Pan, Liang; Xu, Kun
Article 13
A Gradient Compression-Based Compact High-Order Gas-Kinetic Scheme on 3D Hybrid Unstructured Meshes
International Journal of Computational Fluid Dynamics, October 2021
Ji, Xing; Shyy, Wei; Xu, Kun
An Arbitrary-Lagrangian-Eulerian High-Order Gas-Kinetic Scheme for Three-Dimensional Computations
Journal of Scientific Computing, v. 88, (1), July 2021, article number 8
Pan, Liang; Xu, Kun
Compact High-Order Gas-Kinetic Scheme for Three-Dimensional Flow Simulations
AIAA Journal, v. 59, (8), August 2021, p. 2979-2996
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
Fourth-order gas-kinetic scheme for turbulence simulation with multi-dimensional WENO reconstruction
Computers and Fluids, v. 221, May 2021, article number 104927
Pan, Liang; Cao, Guiyu; Xu, Kun
GKS and UGKS for high-speed flows
Aerospace, v. 8, (5), May 2021, article number 141
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
High-order gas-kinetic scheme on three-dimensional unstructured meshes for compressible flows
Physics of Fluids, v. 33, (9), 8 September 2021, article number 096102
Yang, Yaqing; Pan, Liang; Xu, Kun
Modeling and computation for non-equilibrium gas dynamics: Beyond single relaxation time kinetic models
Physics of Fluids, v. 33, (1), January 2021, article number 011703
Xu, Xiaocong; Chen, Yipei; Xu, Kun
Progress of discrete unified gas-kinetic scheme for multiscale flows
Advances in Aerodynamics, v. 3, (1), February 2021, article number 6
Guo, Zhaoli; Xu, Kun
The study of shallow water flow with bottom topography by high-order compact gas-kinetic scheme on unstructured mesh
Physics of Fluids, v. 33, (8), August 2021, article number 083613
Zhao, Fengxiang; Gan, Jianping; Xu, Kun
Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget
Journal of Computational Physics, v. 439, August 2021, article number 110402
Cao, Guiyu; Pan, Liang; Xu, Kun
Unified Gas-Kinetic Wave-Particle Methods IV: Multi-Species Gas Mixture And Plasma Transport
Advances in Aerodynamics, v. 3, (1), 12 April 2021, article number 9
Liu, Chang; Xu, Kun
Unified gas-kinetic wave-particle methods V: Diatomic molecular flow
Journal of Computational Physics, v. 442, October 2021, article number 110496
Xu, Xiaocong; Chen, Yipei; Liu, Chang; Li, Zhihui; Xu, Kun
高階氣體動理學格式在湍流數值模擬中的應用
空氣動力學學報=Acta Aerodynamica Sinica, v. 39, (1), February 2021, p. 168-176
曹貴瑜; 潘亮; 徐昆
Book 1
A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes / by Kun Xu. UK: Cambridge University Press, 2021. Book Series: Elements in Aerospace Engineering
Xu, Kun
Article 16
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh
Journal of Computational Physics, v. 410, June 2020, article number 109367
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
A Three-dimensional Unified Gas-kinetic Wave-particle Solver for Flow Computation in All Regimes
Physics of Fluids, v. 32, (9), 1 September 2020, article number 096108
Chen, Yipei; Zhu, Yajun; Xu, Kun
A Unified Gas-kinetic Scheme for Micro Flow Simulation Based on Linearized Kinetic Equation
Advances in Aerodynamics, v. 2, (1), December 2020, article number 21
Liu, Chang; Xu, Kun
A Velocity-Space Adaptive Unified Gas Kinetic Scheme for Continuum and Rarefied Flows
Journal of Computational Physics, 109535, 2020
Xiao, Tianbai; Liu, Chang; Xu, Kun; Cai, Qingdong
A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential
Communications in Computational Physics, v. 28, (3), September 2020, p. 902-906
Chen, Songze; Guo, Zhaoli; Xu, Kun
An Acoustic and Shock Wave Capturing Compact High-Order Gas-Kinetic Scheme with Spectral-Like Resolution
International Journal of Computational Fluid Dynamics, 23 September 2020
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun
High-Order ALE Gas-Kinetic Scheme with WENO Reconstruction
Journal of Computational Physics, v. 417, September 2020, article number 109558
Pan, Liang; Zhao, Fengxiang; Xu, Kun
High-order gas-kinetic scheme in curvilinear coordinates for the Euler and Navier-Stokes solutions
Communications in Computational Physics, v. 28, (4), August 2020, p. 1321-1351
Pan, Liang; Xu, Kun
High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions
Computers and Fluids, v. 198, February 2020, article number 104401
Pan, Liang; Xu, Kun
Multiscale Simulation for the System of Radiation Hydrodynamics
Journal of Scientific Computing, v. 85, (2), 19 October 2020, article number 25
Sun, Wenjun; Jiang, Song; Xu, Kun; Cao, Guiyu
Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction
Communications in Computational Physics, v. 28, (2), August 2020, p. 539-590
Ji, Xing; Xu, Kun
Ray effect in rarefied flow simulation
Journal of Computational Physics, v. 422, 1 December 2020, article number 109751
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation
Communications in Computational Physics, v. 28, (3), September 2020, p. 1189-1218
Tan, Shuang; Sun, Wenjun; Xu, Kun; Wei, Junxia; Ni, Guoxi
Unified Gas-kinetic Wave-particle Methods I: Continuum and Rarefied Gas Flow
Journal of Computational Physics, v. 401, January 2020, article number 108977
Liu, Chang; Zhu, Yajun; Xu, Kun
Unified gas-kinetic wave-particle methods III: Multiscale photon transport
Journal of Computational Physics, v. 408, 1 May 2020, article number 109280
Li, Weiming; Liu, Chang; Zhu, Yajun; Zhang, Jiwei; Xu, Kun
离散时空直接建模思想及其在模拟多尺度输运中的应用
空氣動力學學報=Acta Aerodynamica Sinica, v. 38, (2), April 2020, p. 197-216
刘畅; 徐昆
Conference paper 1
Fifth-order finite-volume weno on cylindrical grids
Lecture Notes in Computational Science and Engineering, v. 134, 12 August 2020, p. 637-648
Shadab, Mohammad Afzal; Ji, Xing; Xu, Kun
Article 10
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows VI: Dilute Disperse Gas-particle Multiphase System
Journal of Computational Physics, v. 386, June 2019, p. 264-295
Liu, Chang; Wang, Zhao; Xu, Kun
A Unified Gas-kinetic Scheme for Multiscale and Multicomponent Flow Transport
Applied Mathematics and Mechanics (English Edition), v. 40, (3), March 2019, p. 355-372
Xiao, Tianbai; Xu, Kun; Cai, Qingdong
An Implicit Unified Gas-kinetic Scheme for Unsteady Flow in All Knudsen Regimes
Journal of Computational Physics, v. 386, June 2019, p. 190-217
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
Compact Higher-Order Gas-Kinetic Schemes with Spectral-Like Resolution for Compressible Flow Simulations
Advances in Aerodynamics, v. 1, (1), 6 June 2019, article number 13
Zhao, Fengxiang; Ji, Xing; Shyy, Wei; Xu, Kun
Fifth order finite volume WENO in general orthogonally - curvilinear coordinates
Computers and Fluids, v. 190, August 2019, p. 398-424
Shadab, Mohammad Afzal; Balsara, Dinshaw S.; Shyy, Wei; Xu, Kun
Implicit High-order Gas Kinetic Scheme for Turbulence Simulation
Aerospace Science and Technology, v. 92, September 2019, p. 958-971
Cao, Guiyu; Su, Hongmin; Xu, Jinxiu; Xu, Kun
Limitation principle for computational fluid dynamics
Shock Waves, v. 29, (8), November 2019, p. 1083-1102
Liu, Chang; Zhou, Guangzhao; Shyy, Wei; Xu, Kun
Three Dimensional High-order Gas-kinetic Scheme for Supersonic Isotropic Turbulence I: Criterion for Direct Numerical Simulation
Computers and Fluids, v. 192, October 2019, article number 104273
Cao, Guiyu; Pan, Liang; Xu, Kun
Unified gas-kinetic wave-particle methods. II. Multiscale simulation on unstructured mesh
Physics of Fluids, v. 31, (6), June 2019, article number 067105
Zhu, Yajun; Liu, Chang; Zhong, Chengwen; Xu, Kun
类探月返回试验器稀薄气体电离特性分析
空气动力学学报=Acta Aerodynamica Sinica, v. 37, (6), December 2019, p. 924-930
方明; 李丹杨; 徐昆
Article 8
A Compact Fourth-order Gas-kinetic Scheme for the Euler and Navier–stokes Equations
Journal of Computational Physics, v. 372, November 2018, p. 446-472
Ji, Xing; Pan, L.; Shyy, Wei; Xu, Kun
A Family of High-order Gas-kinetic Schemes and Its Comparison With Riemann Solver Based High-order Methods
Journal of Computational Physics, v. 356, March 2018, p. 150-173
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
A unified gas-kinetic scheme for axisymmetric flow in all Knudsen number regimes
Journal of Computational Physics, v. 366, August 2018, p. 144-169
Li, shiyi; Li, qibing; Fu, song; Xu, Kun
An Efficient High-order Finite Difference Gas-kinetic Scheme for the Euler and Navier–stokes Equations
Computers & Fluids, v. 166, 30 April 2018, p. 243-252
Xuan, li-jun; Xu, Kun
An Investigation of Non-equilibrium Heat Transport in a Gas System Under External Force Field
International Journal of Heat and Mass Transfer, v. 126, November 2018, p. 362-379, Part A
Xiao, Tianbai; Xu, Kun; Cai, Qingdong; Qian, Tiezheng
Grid-converged Solution and Analysis of the Unsteady Viscous Flow in a Two-dimensional Shock Tube
Physics of Fluids, v. 30, (1), January 2018, article number 016102
Zhou, Guangzhao; Xu, Kun; Liu, Feng
Physical modeling and numerical studies of three-dimensional non-equilibrium multi-temperature flows
Physics of Fluids, v. 30, (12), December 2018, article number 126104
Cao, Guiyu; Liu, Hualin; Xu, Kun
Two-stage fourth-order gas-kinetic scheme for three-dimensional Euler and Navier-Stokes solutions
International Journal of Computational Fluid Dynamics, v. 32, (10), November 2018, p. 395-411
Pan, Liang; Xu, Kun
Conference paper 1
Compact and Three-dimensional Extension of Two-stage Fourth-order Gas-kinetic Scheme
Proceedings of 10th International Conference on Computational Fluid Dynamics (ICCFD10), ICCFD 2018, July 2018, article number ICCFD10-108
Ji, Xing; Pan, L.; Xu, Kun
Article 14
A Few Benchmark Test Cases for Higher-Order Euler Solvers
Numerical Mathematics, v. 10, (4), November 2017, p. 711-736
Pan, Liang; Li, Jiequan; Xu, Kun
A Gas-kinetic Theory Based Multidimensional High-order Method for the Compressible Navier–Stokes Solutions
Acta Mechanica Sinica, v. 33, (4), August 2017, p. 733-741
Ren, Xiaodong; Xu, Kun; Shyy, Wei
A Multidimensional Unified Gas-kinetic Scheme for Radiative Transfer Equations on Unstructured Mesh
Journal of Computational Physics, v.351, 2017, p. 455-472
Sun, Wenjun; Jiang, Song; Xu, Kun
A Paradigm for Modeling and Computation of Gas Dynamics
Physics of Fluids, v. 29, (2), February 2017, article number 026101
Xu, Kun; Liu, Chang
A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
Communications in Computational Physics, v. 22, (4), October 2017, p. 1123-1149
Pan, Liang; Cheng, Junxia; Wang, Shuanghu; Xu, Kun
A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport
Communications in Computational Physics, v. 22, (5), November 2017, p. 1175-1223
Liu, Chang; Xu, Kun
A Well-Balanced Unified Gas-Kinetic Scheme for Multiscale Flow Transport under Gravitational Field
Journal of Computational Physics, v. 332, March 2017, p. 475-491
Xiao, Tianbai; Cai, Qingdong; Xu, Kun
An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits
Communications in Computational Physics, v. 22, (4), October 2017, p. 889-912
Sun, Wenjun; Jiang, Song; Xu, Kun
On the Apparent Permeability of Porous Media in Rarefied Gas Flows
Journal of Fluid Mechanics, v. 822, July 2017, p. 398-417
Wu, Lei; Ho, Minh Tuan; Germanou, Lefki; Gu, Xiao-Jun; Liu, Chang; Xu, Kun; Zhang, Yonghao
Simplification of the Flux Function for A High-order Gas-kinetic Evolution Model
Journal of Computational Physics, v. 339, June 2017, p. 146-162
Zhou, Guangzhao; Xu, Kun; Liu, Feng
Systematic Study of Packaging Designs on The Performance of CMOS Thermoresistive Micro Calorimetric Flow Sensors
Journal of Micromechanics and Microengineering, v. 27, (8), June 2017, article number 085001
Xu, Wei; Pan, Liang; Gao, Bo; Chiu, Yi; Xu, Kun; Lee, Yi-Kuen
To overcome memory barrier of kinetic solvers for non-equilibrium flow study
Science Bulletin, v. 62, (2), January 2017, p. 99-101
Xu, Kun
Unified Gas-Kinetic Scheme for Diatomic Molecular Flow with Translational, Rotational, and Vibrational Modes
Journal of Computational Physics, v.350, December 2017, p. 237-259
Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun
Unified Gas-kinetic Scheme with Multigrid Convergence for Rarefied Flow Study
Physics of Fluids, v.29, (9), September 2017, article number 096102
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
Conference paper 2
Application of Unified Gas-Kinetic Scheme for Hypersonic Non-Equilibrium Flow
21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017, American Institute of Aeronautics and Astronautics Inc, AIAA, 2017
Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun
Validation of Gas-Kinetic Scheme Solver for the Compressible and Incompressible Flows Simulation
21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017, 2017
Liu, Hualin; Guo, Zhongzhou; Chen, Weifang; Xu, Kun
Article 11
A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies
Journal of Computational Physics, v. 316, July 2016, p. 700-720
Ren, Xiaodong; Xu, Kun; Shyy, Wei
A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier–Stokes solutions
Journal of Computational Physics, v. 318, August 2016, p. 327-348
Pan, Liang; Xu, Kun
A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations
Journal of Computational Physics, v. 314, June 2016, p. 305-340
Liu, Chang; Xu, Kun; Sun, Quanhua; Cai, Qingdong
An Efficient and Accurate Two-Stage Fourth-Order Gas-Kinetic Scheme for the Euler and Navier–Stokes Equations
Journal of Computational Physics, v. 326, December 2016, p. 197-221
Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan
Cartesian Grid Method for Gas Kinetic Scheme on Irregular Geometries
Journal of Computational Physics, v. 326, December 2016, p. 862-877
Chen, Songze; Xu, Kun; Li, Zhihui
Discrete unified gas kinetic scheme for multiscale heat transfer based on the phonon Boltzmann transport equation
International Journal of Heat and Mass Transfer, v. 102, November 2016, p. 944-958
Guo, Zhaoli; Xu, Kun
Discrete unified gas kinetic scheme on unstructured meshes
Computers and Fluids, v. 127, March 2016, p. 211-225
Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes
Journal of Computational Physics, v. 315, June 2016, p. 16-38
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
Manganese-tuned chemical etching of a platinum-copper nanocatalyst with platinum-rich surfaces
Journal of Power Sources, v. 304, Feb 2016, p. 74-80
Huang, Yiyin; Zhao, Tianshou; Zhao, Gang; Yan, Xiaohui; Xu, Kun
Onsager’s cross coupling effects in gas flows confined to micro-channels
Physical Review Fluids, v. 1, (4), August 2016, article number 044102
Wang, Ruijie; Xu, Xinpeng; Xu, Kun; Qian, Tiezheng
Simplification of the unified gas kinetic scheme
Physical Review E, v. 94, (2), August 2016, article number 023313
Chen, Songze; Guo, Zhaoli; Xu, Kun
Article 12
A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations
Communications in Computational Physics, v. 18, (4), October 2015, p. 985-1011
Pan, Liang; Xu, Kun
A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit
Journal of Computational Physics, v. 288, May 2015, p. 52-65
Chen, Songze; Xu, Kun
A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows
Communications in Computational Physics, v. 17, (3), March 2015, p. 657-681
Wang, Peng; Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
Advances in Applied Mathematics and Mechanics, v. 7, (2), April 2015, p. 245-266
Chen, Songze; Xu, Kun; Cai, Qingdong
A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations
Journal of Computational Physics, v. 292, July 2015, p. 176-193
Ren, Xiaodong; Xu, Kun; Shyy, Wei; Gu, Chuwei
A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations
Computers and Fluids, v. 119, September 2015, p. 250-260
Pan, Liang; Xu, Kun
An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations
Journal of Computational Physics, v. 302, December 2015, p. 222-238
Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu
An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
Journal of Computational Physics, v. 285, March 2015, p. 265-279
Sun, Wenjun; Jiang, Song; Xu, Kun
Direct modeling for computational fluid dynamics
Acta Mechanica Sinica/Lixue Xuebao, v. 31, (3), June 2015, p. 303-318
Xu, Kun
Discrete unified gas kinetic scheme for all Knudsen number flows. II. Thermal compressible case
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 91, (3), March 2015, article number 033313
Guo, Zhaoli; Wang, Ruijie; Xu, Kun
Generalized coordinate transformation and gas-kinetic scheme
Journal of Computational Physics, v. 287, April 2015, p. 207-225
Pan, Liang; Xu, Kun
高超声速计算中的气体动理学格式
航空学报=Acta Aeronautica et Astronautica Sinica, v. 36, (1), January 2015, p. 135-146
徐昆; 陈松泽
Book 1
Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-kinetic Schemes
Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-Kinetic Schemes / by Kun Xu. Singapore: World Scientific Publishing, 2015. Advances in Computational Fluid Dynamics, v. 4.
Xu, Kun
Article 3
Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes
Journal of Computational Physics, v. 259, February 2014, p. 96-113
Liu, Sha; Yu, Pubing; Xu, Kun; Zhong, Chengwen
Unified gas-kinetic simulation of slider air bearing
Theoretical and Applied Mechanics Letters, v. 4, (2), 2014, article number 022001
Wang, Ruijie; Xu, Kun
离散空间直接建模的计算流体力学方法
中国科学:物理学 力学 天文学=Scientia Sinica: Physica, Mechanica & Astronomica, v. 44, (5), 2014, p. 519-530
徐昆; 李启兵; 黎作武
Conference paper 5
A Cartesian Grid-Based Unified Gas Kinetic Scheme
AIP Conference Proceedings, v. 1628, December 2014, p. 995-1002
Chen, Songze; Xu, Kun
A high-order moving mesh gas-kinetic scheme for three-dimensional flows
Eighth International Conference on Computational Fluid Dynamics (ICCFD8), Chengdu, China, 14-18 July 2014
Pan, Liang; Xu, Kun
Aspect Ratio Effect on Flow Structure around Rotating Rectangular Wings
7th Across-Strait Workshop on Shock/Vortex Interaction, Tamshui, Taiwan, 23-28 June 2014
Fu, Jujiang; Pan, Liang; Qiu, Huihe; Xu, Kun; Shyy, Wei
Study of Vacuum Gas Flows with the Unified Gas-Kinetic Scheme
AIP Conference Proceedings, v. 1628, (1), December 2014, Volume title: Proceedings of the 29th International Symposium on Rarefied Gas Dynamics
Luo, Xueli; Wang, Ruijie; Day, Christian; Xu, Kun
Unified Gas-kinetic Scheme for Multi-species Non-equilibrium Flow
AIP Conference Proceedings, v. 1628, (1), December 2014, p. 970-975
Wang, Ruijie; Xu, Kun
Article 7
A high-order multidimensional gas-kinetic scheme for hydrodynamic equations
Science China Technological Sciences, v. 56, (10), October 2013, p. 2370-2384
Luo, Jun; Xu, Kun
A new gas-kinetic scheme based on analytical solutions of the BGK equation
Journal of Computational Physics, v. 234, (1), 2013, p. 524-539
Xuan, Li-Jun; Xu, Kun
A unified gas-kinetic scheme for continuum and rarefied flows III: Microflow simulations
Communications in Computational Physics, v. 14, (5), November 2013, p. 1147-1173
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation
Communications in Computational Physics, v. 14, (3), September 2013, p. 599-620
Luo, Jun; Xuan, Lijun; Xu, Kun
Discrete unified gas kinetic scheme for all Knudsen number flows: Low-speed isothermal case
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 88, (3), September 2013, article number 033305
Guo, Zhaoli; Xu, Kun; Wang, Ruijie
Kinetic Node-Pair Formulation for Two-Dimensional Flows from Continuum to Transitional Regime
AIAA Journal, v. 51, (4), April 2013, p. 784-796
Fossati, Marco; Guardone, Alberto; Vigevano, Luigi; Xu, Kun
On the remedy against shock anomalies in kinetic schemes
Journal of Computational Physics, v. 255, December 2013, p. 106-129
Ohwada, Taku; Adachi, Ryo; Xu, Kun; Luo, Jun
Article 6
A unified gas kinetic scheme with moving mesh and velocity space adaptation
Journal of Computational Physics, v. 231, (20), August 2012, p. 6643-6664
Chen, Songze; Xu, Kun; Lee, Cunbiao; Cai, Qingdong
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases
Communications in Computational Physics, v. 12, (3), September 2012, p. 662-690
Huang, Juanchen; Xu, Kun; Yu, Pubing
Multiple temperature kinetic model and its applications to micro-scale gas flows
Computers & Fluids, v. 67, August 2012, p. 115-122
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing
The dynamic mechanism of a moving Crookes radiometer
Physics of Fluids, v. 24, (11), November 2012, article number 111701
Chen, Songze; Xu, Kun; Lee, Cunbiao
The study of sound wave propagation in rarefied gases using unified gas-kinetic scheme
Acta Mechanica Sinica, v. 28, (4), August 2012, p. 1022-1029
Wang, Ruijie; Xu, Kun
氣體動理學格式研究進展
力學進展=Advances in Mechanics, v. 42, (5), 2012, p. 522-537
李啟兵; 徐昆
Book 1
Computational Fluid Dynamics Based on the Unified Coordinates
Computational Fluid Dynamics Based on the Unified Coordinates
Hui, Wai How; Xu, Kun
Book chapter 1
Unified Treatment of Rarefied and Continuum Fluid Flows
Encyclopedia of Aerospace Engineering / Editors-in-chief: Richard Blockley, Wei Shyy. Chichester, West Sussex, U.K. : Wiley, 2010
Xu, Kun
Article 4
A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations Under Gravitational Field
SIAM Journal on Scientific Computing, v. 33, (5), 2011, p. 2356-2381
Luo, Jun; Xu, Kun; Liu, Na
An improved unified gas-kinetic scheme and the study of shock structures
IMA Journal of Applied Mathematics, v. 76, (5), October 2011, p. 698-711
Xu, Kun; Huang, Juan-Chen
Comparison of the Generalized Riemann Solver and the Gas-kinetic Scheme for Inviscid Compressible Flow Simulations
Journal of Computational Physics, v. 230, (12), June 2011, p. 5080-5099
Li, Jiequan; Li, Qibing; Xu, Kun
Multiple Temperature Gas Dynamic Equations for Non-equilibrium Flows
Journal of Computational Mathematics, v. 29, (6), 2011, p. 639-660
Xu, Kun; Guo, Zhaoli
Conference paper 4
A New High-Order Multidimensional Scheme
Computational Fluid Dynamics 2010, Editor: Alexander Kuzmin. Berlin, Heidelberg : Springer-Verlag, 2011, p. 629-635
Li, Qibing; Xu, Kun; Fu, Song
A Symplectic-preserving Gas-kinetic Scheme for Hydrodynamic Equations under external forcing Field
AIP Conference Proceedings, v. 1333, May 2011, p. 916-921
Luo, Jun; Xu, Kun
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows
AIP Conference Proceedings, v. 1333, May 2011, p. 525-530
Xu, Kun; Huang, J.C.
Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach
17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference, The American Institute of Aeronautics and Astronautics, 2011
Fossati, Marco; Vigevano, Luigi; Xu, Kun
Article 6
A high-order gas-kinetic Navier-Stokes flow solver
Journal of Computational Physics, v. 229, (19), September 2010, p. 6715-6731
Li, Qibing; Xu, Kun; Fu, Song
A Three Dimensional Gas-Kinetic Scheme with Moving Mesh for Low-Speed Viscous Flow Computations
Advances in applied mathematics and mechanics, v. 2, (6), December 2010, p. 746-762
Jin, Changqiu; Xu, Kun; Chen, Songze
A unified gas-kinetic scheme for continuum and rarefied flows
Journal of Computational Physics, v. 229, (20), October 2010, p. 7747-7764
Xu, Kun; Huang, Juan-Chen
A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field
Advances in Applied Mathematics and Mechanics, v. 2, (2), April 2010, p. 200-210
Xu, Kun; Luo, Jun; Chen, Songze
Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics
Numerical Mathematics: Theory, Methods and Applications, v. 3, (4), November 2010, p. 387-404
Tang, Huazhong; Xu, Kun; Cai, Chunpei
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
International Journal of Hypersonics, v. 1, (3), September 2010, p. 157-172
Xu, Kun; Sun, Quanhua; Yu, Pubing
Conference paper 2
A High-order Gas-Kinetic Navier-Stokes Flow Solver
Proceedings 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics, 2010
Li, Qibing; Xu, Kun
A Multiple Temperature Kinetic Model and Its application to Micro-scale Gas Flow Simulations
The 13th Asian Congress of Fluid Mechanics Conference, Dhaka, Bangladesh, 17-21 December 2010
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing
Article 4
A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids
Advances in applied mathematics and mechanics, v. 1, (3), June 2009, p. 301-318
Luo, Hong; Luo, Luqing; Xu, Kun
GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES
MODERN PHYSICS LETTERS B, v. 23, (3), 2009, JAN 30, p. 237-240
Xu, Kun; Guo, Zhaoli
Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow
Advances in applied mathematics and mechanics, v. 1, (3), June 2009, p. 391-401
Guo, Zhaoli; Xu, Kun
Remapping-free ALE-type kinetic method for flow computations
Journal of computational physics, v. 228, (8), 2009, MAY 1, p. 3154-3171
Ni, Guoxi; Jiang, Song; Xu, Kun
Conference paper 4
A discontinuous galerkin method based on a gas kinetic scheme for the navier-stokes equations on arbitrary grids
Computational Fluid Dynamics 2008, 2009, p. 423-428
Luo, Hong; Xu, Kun
Development of a discontinuous Galerkin method for computational fluid dynamics
47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2009
Lno, Hong; Luo, Luqing; Xu, Kun
Extended gas dynamic equations with multiple translational temperature
AIP Conference Proceedings, v. 1084, 2009, p. 69-74
Xu, Kun; Guo, Zhaoli
Generalized gas dynamic equations
47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2009
Xu, Kun; Guo, Zhaoli
Article 9
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows
Journal of computational physics, v. 227, (10), 2008, MAY 1, p. 4955-4976
Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun
A DGBGK scheme based on WENO limiters for viscous and inviscid flows
Journal of computational physics, v. 227, (11), 2008, MAY 10, p. 5799-5815
Ni, Guoxi; Jiang, Song; Xu, Kun
A generalized Bhatnagar-Gross-Krook model for nonequilibrium flows
Physics of Fluids, v. 20, (2), February 2008, article number 026101
Xu, Kun
A Multiple Temperature Kinetic Model and its Application to Near Continuum Flows
Communications in computational physics, v. 4, (5), 2008, NOV, p. 1069-1085
Xu, Kun; Liu, Hongwei
Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes
Journal of computational physics, v. 227, (6), 2008, MAR 1, p. 3015-3031
Ni, Guoxi; Jiang, Song; Xu, Kun
Modified gas-kinetic scheme for shock structures in argon
Progress in computational fluid dynamics, v. 8, (1-4), 2008, p. 97-108
Liao, Wei; Peng, Yan; Luo, Li-Shi; Xu, Kun
Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations
Journal of computational physics, v, 227, (14), July 2008, p. 6779-6794
Xu, Kun; He, Xin; Cai, Chunpei
Numerical study of the unsteady aerodynamics of freely falling plates
Communications in computational physics, v. 3, (4), 2008, APR, p. 834-851
Jin, Changqiu; Xu, Kun
One-dimensional multiple-temperature gas-kinetic Bhatnagar-Gross-Krook scheme for shock wave computation
AIAA journal, v. 46, (5), 2008, MAY, p. 1054-1062
Cai, Chunpei; Liu, Danny D.; Xu, Kun
Conference paper 2
A BGK-based discontinuous Galerkin method for the Navier-Stokes equations on arbitrary grids
46th AIAA Aerospace Sciences Meeting and Exhibit, 2008
Luo, Hong; Xu, Kun
Multiple temperature kinetic model for near continuum flows
46th AIAA Aerospace Sciences Meeting and Exhibit, 7-10, Jan 2008
Xu, Kun; Liu, Hongwei
Article 9
A gas-kinetic discontinuous Galerkin method for viscous flow equations
Journal of Mechanical Science and Technology, v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1344-1351
Liu, Hongwei; Xu, Kun
A Runge-Kutta discontinuous Galerkin method for viscous flow equations
Journal of computational physics, v. 224, (2), 2007, JUN 10, p. 1223-1242
Liu, Hongwei; Xu, Kun
A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
Journal of computational physics, v. 226, (2), October 2007, p. 2003-2027
Tian, C.T.; Xu, Kun; Chan, Kwinglam; Deng, Licai
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation
Journal of computational physics, v. 222, (1), March 2007, p. 155-175
Jin, Changqiu; Xu, Kun
Gas-kinetic scheme for continuum and near-continuum hypersonic flows
Journal of spacecraft and rockets, v. 44, (6), 2007, NOV-DEC, p. 1232-1240
Liao, Wei; Luot, Li-Shi; Xu, Kun
High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics
Journal of computational physics, v. 227, (2), 2007, DEC 10, p. 967-982
Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun
Multiple temperature model for near continuum flows
Journal of Mechanical Science and Technology, v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1376-1382
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
Multiple-temperature kinetic model for continuum and near continuum flows
Physics of fluids, v. 19, (1), 2007, JAN
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
Multiscale gas-kinetic simulation for continuum and near-continuum flows
Physical Review E, v. 75, (1), January 2007
Xu, Kun; Liu, Hongwei
Conference paper 6
Development of a 2D/AXI kinetic BGK scheme for hypersonic nonequilibrium flow computations
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 13, 2007, p. 8863-8873
Cai, Chunpei; Liu, Danny D.; Xu, Kun
Gas kinetic scheme for continuum and near-continuum hypersonic flows
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 2, 2007, p. 1355-1365
Liao, Wei; Luo, Lishi; Xu, Kun
Gas-kinetic BGK Scheme for three dimensional magnetohydrodynamics
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 24, 2007, p. 16989-17006
Cai, Chunpei; Xu, Kun
Multiple temperature kinetic model for continuum and near continuum flows
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 11, 2007, p. 7497-7510
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
Multiple temperature kinetic model for non-equilibrium flow computations
Collection of Technical Papers - 39th AIAA Thermophysics Conference, v. 2, 2007, p. 1408-1425
Xu, Kun; He, Xin; Cai, Chunpei
Non-equilibrium Shock Structure Computation with a Kinetic BGK Scheme
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 11, 2007, p. 7368-7380
Cai, Chunpei; Liu, Danny D.; Xu, Kun
Article 8
An adaptive grid method for two-dimensional viscous flows
Journal of computational physics, v. 218, (1), 2006, OCT 10, p. 68-81
Jin, Changqiu; Xu, Kun
Continuum formulation for non-equilibrium shock structure calculation
Communications in computational physics, v. 1, (3), 2006, JUN, p. 425-448
Xu, Kun; Josyula, Eswar
Gas-kinetic scheme for rarefied flow simulation
Mathematics and computers in simulation, v. 72, (2-6), 2006, SEP 9, p. 253-256
Xu, Kun; Josyula, Eswar
Linear and nonlinear analysis of shallow wakes
Journal of fluid mechanics, v. 548, 2006, FEB 10, p. 309-340
Ghidaoui, Mohamed Salah; Kolyshkin, Andrei A.; Liang, Junhong; Chan, Franky Cathleen; Li, Qiu; Xu, Kun
Stability and consistency of kinetic upwinding for advection-diffusion equations
IMA journal of numerical analysis, v. 26, (4), 2006, OCT, p. 686-722
Torrilhon, Manuel; Xu, Kun
The gas-kinetic scheme for shallow water equations* * Project supported by the Hong Kong Research Grant Council (HKUST6102/04E, 6210/05E).
Journal of Hydrodynamics, v. 18, (3 SUPPL.), 2006, p. 73-76
Xu, Kun
The numerical study of roll-waves in inclined open channels and solitary wave run-up
International journal for numerical methods in fluids, v. 50, (9), 2006, MAR 30, p. 1003-1027
Que, Yin T.; Xu, Kun
三角形网格下求解二维浅水方程的KFVS格式
水利学报=Journal of Hydraulic Engineering, v. 2006, (07), 2006, p. 858-864
潘存鴻; 徐昆
Conference paper 2
A one-dimensional multiple-temperature Gas-Kinetic BGK scheme for shock wave computation
A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference, v. 1, 2006, p. 1-13
Cai, Chunpei; Liu, Danny; Xu, Kun
A two-dimensional GasKinetic BGK scheme for hypersonic thermal non-equilibrium flow computations
A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference, v. 1, 2006, p. 548-558
Cai, Chunpei; Liu, Danny; Xu, Kun
Article 6
A compressible Navier-Stokes flow solver with scalar transport
Journal of computational physics, v. 204, (2), 2005, APR 10, p. 692-714
Li, Qibing; Fu, Song; Xu, Kun
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of computational physics, v. 203, (2), 2005, MAR 1, p. 405-421
Xu, Kun; Mao, Meiliang; Tang, Lei
Application of gas-kinetic scheme with kinetic boundary conditions in hypersonic flow
AIAA journal, v. 43, (10), 2005, OCT, p. 2170-2176
Li, Qibing; Fu, Song; Xu, Kun
Multiple translational temperature model and its shock structure solution
Physical Review E, v. 71, (5), May 2005
Xu, Kun; Josyula, Eswar
The application of gas-kinetic BGK scheme in near continuum flow regime
Acta Aerodynamica Sinica, 23, pp. 317-321
Mao, Meiliang; Xu, Kun; Deng, Xiaogang
动能BGK算法在近连续流模拟中的应用
空气动力学学报=Acta Aerodynamica Sinica, v. 2005, (03), 2005, p. 317-321
毛枚良; 徐昆; 鄧小剛
Conference paper 3
Gas-kinetic model for Navier-Stokes solutions with multiple translational temperature
35th AIAA Fluid Dynamics Conference and Exhibit, Canada, June
Xu, Kun; Joysula, Eswar
Non-equilibrium relaxation in high temperature gas flows
3rd MIT Conference on Computational Fluid and Solid Mechanics, Boston, June
Josyula, Eswar; Xu, Kun
Testing continuum and non-continuum descriptions in high speed flows
AIP Conference Proceedings, v. 762, 2005, p. 1217-1222
Josyula, Eswar; Xu, Kun; Wadsworth, Dean C.
Article 6
A gas-kinetic scheme for shallow-water equations with source terms
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 55, (3), 2004, MAY, p. 365-382
Tang, Huazhong; Tang, Tao; Xu, Kun
A gas-kinetic scheme for shallow-water equations with source terms
Zeitschrift fur angewandte Mathematik und Physik ZAMP, v. 55, (3), May 2004, p. 365-382
Tang, Huazhong; Tang, Tao; Xu, Kun
Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems
SIAM journal on scientific computing, v. 25, (6), 2004, p. 1941-1963
Xu, Kun
Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions
Journal of fluid mechanics, v. 513, 2004, AUG 25, p. 87-110
Xu, Kun; Li, Zhihui
Nonequilibrium Bhatnagar-Gross-Krook model for nitrogen shock structure
Physics of fluids, v. 16, (10), 2004, OCT, p. 3824-3827
Xu, Kun; Tang, Lei
The kinetic scheme for the full-Burnett equations
Journal of computational physics, v. 201, (1), 2004, NOV 20, p. 315-332
Ohwada, Taku; Xu, Kun
Conference paper 3
Gas-kinetic BGK scheme for hypersonic viscous flow
Computational Fluid Dynamics 2004, Proceedings, 2004, p. 183-188
Xu, Kun; Mao, Mei-Liang
Nonequilibrium Relaxation in High Speed Flows
37th AIAA Thermophysics Conference, Portland, Oregon, Paper 2004-2468, June 28-July 1
Josyula, Eswar; Bailey, W.F.; Xu, Kun
Unified gas-kinetic computational algorithm for continuum and rarefied flows
AIAA Paper, 2004, p. 7655-7666
Tang, Lei; Xu, Kun
Article 2
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
Journal of computational physics, v. 190, (1), 2003, SEP 1, p. 100-117
Xu, Kun; He, Xiaoyi
Super-Burnett solutions for Poiseuille flow
Physics of fluids, v. 15, (7), 2003, JUL, p. 2077-2080
Xu, Kun
Conference paper 2
Kinematic and dynamic dissipation in shock capturing schemes
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, p. 1201-1204
Xu, Kun
Laminar Hypersonic Viscous Flow Calculations using Gas-kinetic BGK Scheme
National Fluid Mechanics Workshop for Young Scientists, Xi'an, November 8-11
Xu, Kun; Mao, M.L.
Article 4
A slope-update scheme for compressible flow simulation
Journal of computational physics, v. 178, (1), 2002, MAY 1, p. 252-259
Xu, Kun
A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
Journal of computational physics, v. 178, (2), 2002, MAY 20, p. 533-562
Xu, Kun
KFVS method for one-dimensional shallow water equation
Journal of Hydrodynamics (Chinese), A17(2), 140-147
Xu, Kun; Pan, Chunhong
Regularization of the Chapman-Enskog expansion and its description of shock structure
Physics of Fluids, v. 14, (4), 2002
Xu, Kun
Article 9
A Boltzmann based model for open channel flows
International journal for numerical methods in fluids, v. 35, (4), 2001, FEB 28, p. 449-494
Ghidaoui, Mohamed Salah; Deng, Jiaquan; Gray, William G.; Xu, Kun
A Boltzmann-based mesoscopic model for contaminant transport in flow systems
Advances in water resources, v. 24, (5), 2001, MAY, p. 531-550
Deng, Jiaquan; Ghidaoui, Mohamed Salah; Gray, William G.; Xu, Kun
A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
Journal of computational physics, v. 171, (1), 2001, JUL 20, p. 289-335
Xu, Kun
A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow
Journal of computational physics, v. 166, (2), 2001, JAN 20, p. 383-399
Xu, Kun
Dissipative mechanism in Godunov-type schemes
International journal for numerical methods in fluids, v. 37, (1), 2001, SEP 15, p. 1-22
Xu, Kun; Li, Zuowu
Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 52, (1), 2001, JAN, p. 62-78
Lui, S.H.; Xu, Kun
Numerical simulations of resonant oscillations in a tube
Numerical HEAT Transfer PART a-applications, v. 40, (1), 2001, JUL, p. 37-54
Tang, Huazhong; Cheng, Ping; Xu, Kun
Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 52, (5), 2001, SEP, p. 847-858
Tang, Huazhong; Xu, Kun
一类通矢量分裂方法的保正性研究Ⅰ.显式格式
計算數學=Mathematica numerca sinica, v. 23, (4), November 2001, p. 469-476
汤华中; 徐昆
Conference paper 2
Dissipative mechanism in Godunov method
COMPUTATIONAL FLUID DYNAMICS FOR THE 21ST CENTURY, PROCEEDINGS, v. 78, 2001, p. 309-321
Xu, Kun
Gas-kinetic schemes for fluid simulations
COMPUTATIONAL FLUID DYNAMICS 2000, 2001, p. 14-27
Xu, Kun
Article 5
A Gas-kinetic Scheme for Multimaterial Flows and its Application in Chemical Reactions
Journal of Computational Physics, v. 163, (2), 2000, SEP 20, p. 349-375
Lian, Yongsheng; Xu, Kun
A gas-kinetic scheme for reactive flows
Computers & fluids, v. 29, (7), 2000, SEP, p. 725-748
Lian, Yongsheng; Xu, Kun
A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
Journal of computational physics, v. 165, (1), 2000, NOV 20, p. 69-88
Tang, Huazhong; Xu, Kun
Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations
Journal of Scientific Computing, v. 15, (1), 2000, p. 19-28
Tang, Huazhong; Xu, Kun
用BGK格式计算不可压缩流场
力學學報=Acta mechanica sinica, v. 32, (6), November 2000, p. 641-650
苏铭德; 徐昆; M. ghidaoui
Article 5
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 50, (2), 1999, MAR, p. 258-281
Tang, Tao; Xu, Kun
Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
Journal of computational physics, v. 153, (2), 1999, AUG 10, p. 334-352
Xu, Kun
Low-speed flow simulation by the gas-kinetic scheme
Journal of computational physics, v. 150, (1), 1999, MAR 20, p. 17-39
Su, Mingde; Xu, Kun; Ghidaoui, Mohamed Salah
Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit
Physical Review E, v. 60, (1), July 1999
Xu, Kun; Lui, Shiu Hong
Unsplitting BGK-type schemes for the shallow water equations
International journal of modern physics C, v. 10, (4), 1999, JUN, p. 505-516
Xu, Kun
Conference paper 2
Does Perfect Riemann Solver Exist?
14th Computational Fluid Dynamics Conference, 1999, p. 771-779
Xu, Kun
Gas-kinetic Flux Splitting Method for Ideal Magnetohydrodynamics
14th Computational Fluid Dynamics Conference, 1999, p. 626-635
Xu, Kun
Article 3
A gas-kinetic scheme for the Euler equations with heat transfer
SIAM journal on scientific computing, v. 20, (4), 1998, APR 7, p. 1317-1335
Xu, Kun
Connection between lattice-Boltzmann equation and beam scheme
International journal of modern physics C, v. 9, (8), 1998, DEC, p. 1177-1187
Xu, Kun; Luo, Lishi
Projection dynamics in Godunov-type schemes
Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan
Article 1
BGK-based Scheme for Multicomponent Flow Calculations
Journal of Computational Physics, v. 134, (1), June 1997, p. 122-133
Xu, Kun
Conference paper 2
A BGK Solver for Multicomponent Euler Equations
13th Computational Fluid Dynamics Conference, 1997, p. 1206-1215
Xu, Kun
An Accurate LED-BGK Solver on Unstructured Adaptive Meshes
35th Aerospace Sciences Meeting and Exhibit, 1997, Article number AIAA
Kim, Chong A.; Jameson, Antony; Martinelli, Luigi; Xu, Kun
2016 11
A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies
Journal of Computational Physics, v. 316, July 2016, p. 700-720
Ren, Xiaodong; Xu, Kun; Shyy, Wei Article
A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier–Stokes solutions
Journal of Computational Physics, v. 318, August 2016, p. 327-348
Pan, Liang; Xu, Kun Article
A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations
Journal of Computational Physics, v. 314, June 2016, p. 305-340
Liu, Chang; Xu, Kun; Sun, Quanhua; Cai, Qingdong Article
An Efficient and Accurate Two-Stage Fourth-Order Gas-Kinetic Scheme for the Euler and Navier–Stokes Equations
Journal of Computational Physics, v. 326, December 2016, p. 197-221
Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan Article
Cartesian Grid Method for Gas Kinetic Scheme on Irregular Geometries
Journal of Computational Physics, v. 326, December 2016, p. 862-877
Chen, Songze; Xu, Kun; Li, Zhihui Article
Discrete unified gas kinetic scheme for multiscale heat transfer based on the phonon Boltzmann transport equation
International Journal of Heat and Mass Transfer, v. 102, November 2016, p. 944-958
Guo, Zhaoli; Xu, Kun Article
Discrete unified gas kinetic scheme on unstructured meshes
Computers and Fluids, v. 127, March 2016, p. 211-225
Zhu, Lianhua; Guo, Zhaoli; Xu, Kun Article
Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes
Journal of Computational Physics, v. 315, June 2016, p. 16-38
Zhu, Yajun; Zhong, Chengwen; Xu, Kun Article
Manganese-tuned chemical etching of a platinum-copper nanocatalyst with platinum-rich surfaces
Journal of Power Sources, v. 304, Feb 2016, p. 74-80
Huang, Yiyin; Zhao, Tianshou; Zhao, Gang; Yan, Xiaohui; Xu, Kun Article
Onsager’s cross coupling effects in gas flows confined to micro-channels
Physical Review Fluids, v. 1, (4), August 2016, article number 044102
Wang, Ruijie; Xu, Xinpeng; Xu, Kun; Qian, Tiezheng Article
Simplification of the unified gas kinetic scheme
Physical Review E, v. 94, (2), August 2016, article number 023313
Chen, Songze; Guo, Zhaoli; Xu, Kun Article
2015 13
A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations
Communications in Computational Physics, v. 18, (4), October 2015, p. 985-1011
Pan, Liang; Xu, Kun Article
A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit
Journal of Computational Physics, v. 288, May 2015, p. 52-65
Chen, Songze; Xu, Kun Article
A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows
Communications in Computational Physics, v. 17, (3), March 2015, p. 657-681
Wang, Peng; Zhu, Lianhua; Guo, Zhaoli; Xu, Kun Article
A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
Advances in Applied Mathematics and Mechanics, v. 7, (2), April 2015, p. 245-266
Chen, Songze; Xu, Kun; Cai, Qingdong Article
A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations
Journal of Computational Physics, v. 292, July 2015, p. 176-193
Ren, Xiaodong; Xu, Kun; Shyy, Wei; Gu, Chuwei Article
A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations
Computers and Fluids, v. 119, September 2015, p. 250-260
Pan, Liang; Xu, Kun Article
An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations
Journal of Computational Physics, v. 302, December 2015, p. 222-238
Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu Article
An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
Journal of Computational Physics, v. 285, March 2015, p. 265-279
Sun, Wenjun; Jiang, Song; Xu, Kun Article
Direct modeling for computational fluid dynamics
Acta Mechanica Sinica/Lixue Xuebao, v. 31, (3), June 2015, p. 303-318
Xu, Kun Article
Discrete unified gas kinetic scheme for all Knudsen number flows. II. Thermal compressible case
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 91, (3), March 2015, article number 033313
Guo, Zhaoli; Wang, Ruijie; Xu, Kun Article
Generalized coordinate transformation and gas-kinetic scheme
Journal of Computational Physics, v. 287, April 2015, p. 207-225
Pan, Liang; Xu, Kun Article
高超声速计算中的气体动理学格式
航空学报=Acta Aeronautica et Astronautica Sinica, v. 36, (1), January 2015, p. 135-146
徐昆; 陈松泽 Article
Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-kinetic Schemes
Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-Kinetic Schemes / by Kun Xu. Singapore: World Scientific Publishing, 2015. Advances in Computational Fluid Dynamics, v. 4.
Xu, Kun Book
2014 8
Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes
Journal of Computational Physics, v. 259, February 2014, p. 96-113
Liu, Sha; Yu, Pubing; Xu, Kun; Zhong, Chengwen Article
Unified gas-kinetic simulation of slider air bearing
Theoretical and Applied Mechanics Letters, v. 4, (2), 2014, article number 022001
Wang, Ruijie; Xu, Kun Article
离散空间直接建模的计算流体力学方法
中国科学:物理学 力学 天文学=Scientia Sinica: Physica, Mechanica & Astronomica, v. 44, (5), 2014, p. 519-530
徐昆; 李启兵; 黎作武 Article
A Cartesian Grid-Based Unified Gas Kinetic Scheme
AIP Conference Proceedings, v. 1628, December 2014, p. 995-1002
Chen, Songze; Xu, Kun Conference paper
A high-order moving mesh gas-kinetic scheme for three-dimensional flows
Eighth International Conference on Computational Fluid Dynamics (ICCFD8), Chengdu, China, 14-18 July 2014
Pan, Liang; Xu, Kun Conference paper
Aspect Ratio Effect on Flow Structure around Rotating Rectangular Wings
7th Across-Strait Workshop on Shock/Vortex Interaction, Tamshui, Taiwan, 23-28 June 2014
Fu, Jujiang; Pan, Liang; Qiu, Huihe; Xu, Kun; Shyy, Wei Conference paper
Study of Vacuum Gas Flows with the Unified Gas-Kinetic Scheme
AIP Conference Proceedings, v. 1628, (1), December 2014, Volume title: Proceedings of the 29th International Symposium on Rarefied Gas Dynamics
Luo, Xueli; Wang, Ruijie; Day, Christian; Xu, Kun Conference paper
Unified Gas-kinetic Scheme for Multi-species Non-equilibrium Flow
AIP Conference Proceedings, v. 1628, (1), December 2014, p. 970-975
Wang, Ruijie; Xu, Kun Conference paper
2013 7
A high-order multidimensional gas-kinetic scheme for hydrodynamic equations
Science China Technological Sciences, v. 56, (10), October 2013, p. 2370-2384
Luo, Jun; Xu, Kun Article
A new gas-kinetic scheme based on analytical solutions of the BGK equation
Journal of Computational Physics, v. 234, (1), 2013, p. 524-539
Xuan, Li-Jun; Xu, Kun Article
A unified gas-kinetic scheme for continuum and rarefied flows III: Microflow simulations
Communications in Computational Physics, v. 14, (5), November 2013, p. 1147-1173
Huang, Juan-Chen; Xu, Kun; Yu, Pubing Article
Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation
Communications in Computational Physics, v. 14, (3), September 2013, p. 599-620
Luo, Jun; Xuan, Lijun; Xu, Kun Article
Discrete unified gas kinetic scheme for all Knudsen number flows: Low-speed isothermal case
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 88, (3), September 2013, article number 033305
Guo, Zhaoli; Xu, Kun; Wang, Ruijie Article
Kinetic Node-Pair Formulation for Two-Dimensional Flows from Continuum to Transitional Regime
AIAA Journal, v. 51, (4), April 2013, p. 784-796
Fossati, Marco; Guardone, Alberto; Vigevano, Luigi; Xu, Kun Article
On the remedy against shock anomalies in kinetic schemes
Journal of Computational Physics, v. 255, December 2013, p. 106-129
Ohwada, Taku; Adachi, Ryo; Xu, Kun; Luo, Jun Article
2012 8
A unified gas kinetic scheme with moving mesh and velocity space adaptation
Journal of Computational Physics, v. 231, (20), August 2012, p. 6643-6664
Chen, Songze; Xu, Kun; Lee, Cunbiao; Cai, Qingdong Article
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases
Communications in Computational Physics, v. 12, (3), September 2012, p. 662-690
Huang, Juanchen; Xu, Kun; Yu, Pubing Article
Multiple temperature kinetic model and its applications to micro-scale gas flows
Computers & Fluids, v. 67, August 2012, p. 115-122
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing Article
The dynamic mechanism of a moving Crookes radiometer
Physics of Fluids, v. 24, (11), November 2012, article number 111701
Chen, Songze; Xu, Kun; Lee, Cunbiao Article
The study of sound wave propagation in rarefied gases using unified gas-kinetic scheme
Acta Mechanica Sinica, v. 28, (4), August 2012, p. 1022-1029
Wang, Ruijie; Xu, Kun Article
氣體動理學格式研究進展
力學進展=Advances in Mechanics, v. 42, (5), 2012, p. 522-537
李啟兵; 徐昆 Article
Computational Fluid Dynamics Based on the Unified Coordinates
Computational Fluid Dynamics Based on the Unified Coordinates
Hui, Wai How; Xu, Kun Book
Unified Treatment of Rarefied and Continuum Fluid Flows
Encyclopedia of Aerospace Engineering / Editors-in-chief: Richard Blockley, Wei Shyy. Chichester, West Sussex, U.K. : Wiley, 2010
Xu, Kun Book chapter
2011 8
A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations Under Gravitational Field
SIAM Journal on Scientific Computing, v. 33, (5), 2011, p. 2356-2381
Luo, Jun; Xu, Kun; Liu, Na Article
An improved unified gas-kinetic scheme and the study of shock structures
IMA Journal of Applied Mathematics, v. 76, (5), October 2011, p. 698-711
Xu, Kun; Huang, Juan-Chen Article
Comparison of the Generalized Riemann Solver and the Gas-kinetic Scheme for Inviscid Compressible Flow Simulations
Journal of Computational Physics, v. 230, (12), June 2011, p. 5080-5099
Li, Jiequan; Li, Qibing; Xu, Kun Article
Multiple Temperature Gas Dynamic Equations for Non-equilibrium Flows
Journal of Computational Mathematics, v. 29, (6), 2011, p. 639-660
Xu, Kun; Guo, Zhaoli Article
A New High-Order Multidimensional Scheme
Computational Fluid Dynamics 2010, Editor: Alexander Kuzmin. Berlin, Heidelberg : Springer-Verlag, 2011, p. 629-635
Li, Qibing; Xu, Kun; Fu, Song Conference paper
A Symplectic-preserving Gas-kinetic Scheme for Hydrodynamic Equations under external forcing Field
AIP Conference Proceedings, v. 1333, May 2011, p. 916-921
Luo, Jun; Xu, Kun Conference paper
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows
AIP Conference Proceedings, v. 1333, May 2011, p. 525-530
Xu, Kun; Huang, J.C. Conference paper
Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach
17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference, The American Institute of Aeronautics and Astronautics, 2011
Fossati, Marco; Vigevano, Luigi; Xu, Kun Conference paper
2010 8
A high-order gas-kinetic Navier-Stokes flow solver
Journal of Computational Physics, v. 229, (19), September 2010, p. 6715-6731
Li, Qibing; Xu, Kun; Fu, Song Article
A Three Dimensional Gas-Kinetic Scheme with Moving Mesh for Low-Speed Viscous Flow Computations
Advances in applied mathematics and mechanics, v. 2, (6), December 2010, p. 746-762
Jin, Changqiu; Xu, Kun; Chen, Songze Article
A unified gas-kinetic scheme for continuum and rarefied flows
Journal of Computational Physics, v. 229, (20), October 2010, p. 7747-7764
Xu, Kun; Huang, Juan-Chen Article
A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field
Advances in Applied Mathematics and Mechanics, v. 2, (2), April 2010, p. 200-210
Xu, Kun; Luo, Jun; Chen, Songze Article
Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics
Numerical Mathematics: Theory, Methods and Applications, v. 3, (4), November 2010, p. 387-404
Tang, Huazhong; Xu, Kun; Cai, Chunpei Article
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
International Journal of Hypersonics, v. 1, (3), September 2010, p. 157-172
Xu, Kun; Sun, Quanhua; Yu, Pubing Article
A High-order Gas-Kinetic Navier-Stokes Flow Solver
Proceedings 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics, 2010
Li, Qibing; Xu, Kun Conference paper
A Multiple Temperature Kinetic Model and Its application to Micro-scale Gas Flow Simulations
The 13th Asian Congress of Fluid Mechanics Conference, Dhaka, Bangladesh, 17-21 December 2010
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing Conference paper
2009 8
A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids
Advances in applied mathematics and mechanics, v. 1, (3), June 2009, p. 301-318
Luo, Hong; Luo, Luqing; Xu, Kun Article
GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES
MODERN PHYSICS LETTERS B, v. 23, (3), 2009, JAN 30, p. 237-240
Xu, Kun; Guo, Zhaoli Article
Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow
Advances in applied mathematics and mechanics, v. 1, (3), June 2009, p. 391-401
Guo, Zhaoli; Xu, Kun Article
Remapping-free ALE-type kinetic method for flow computations
Journal of computational physics, v. 228, (8), 2009, MAY 1, p. 3154-3171
Ni, Guoxi; Jiang, Song; Xu, Kun Article
A discontinuous galerkin method based on a gas kinetic scheme for the navier-stokes equations on arbitrary grids
Computational Fluid Dynamics 2008, 2009, p. 423-428
Luo, Hong; Xu, Kun Conference paper
Development of a discontinuous Galerkin method for computational fluid dynamics
47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2009
Lno, Hong; Luo, Luqing; Xu, Kun Conference paper
Extended gas dynamic equations with multiple translational temperature
AIP Conference Proceedings, v. 1084, 2009, p. 69-74
Xu, Kun; Guo, Zhaoli Conference paper
Generalized gas dynamic equations
47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2009
Xu, Kun; Guo, Zhaoli Conference paper
2008 11
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows
Journal of computational physics, v. 227, (10), 2008, MAY 1, p. 4955-4976
Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun Article
A DGBGK scheme based on WENO limiters for viscous and inviscid flows
Journal of computational physics, v. 227, (11), 2008, MAY 10, p. 5799-5815
Ni, Guoxi; Jiang, Song; Xu, Kun Article
A generalized Bhatnagar-Gross-Krook model for nonequilibrium flows
Physics of Fluids, v. 20, (2), February 2008, article number 026101
Xu, Kun Article
A Multiple Temperature Kinetic Model and its Application to Near Continuum Flows
Communications in computational physics, v. 4, (5), 2008, NOV, p. 1069-1085
Xu, Kun; Liu, Hongwei Article
Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes
Journal of computational physics, v. 227, (6), 2008, MAR 1, p. 3015-3031
Ni, Guoxi; Jiang, Song; Xu, Kun Article
Modified gas-kinetic scheme for shock structures in argon
Progress in computational fluid dynamics, v. 8, (1-4), 2008, p. 97-108
Liao, Wei; Peng, Yan; Luo, Li-Shi; Xu, Kun Article
Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations
Journal of computational physics, v, 227, (14), July 2008, p. 6779-6794
Xu, Kun; He, Xin; Cai, Chunpei Article
Numerical study of the unsteady aerodynamics of freely falling plates
Communications in computational physics, v. 3, (4), 2008, APR, p. 834-851
Jin, Changqiu; Xu, Kun Article
One-dimensional multiple-temperature gas-kinetic Bhatnagar-Gross-Krook scheme for shock wave computation
AIAA journal, v. 46, (5), 2008, MAY, p. 1054-1062
Cai, Chunpei; Liu, Danny D.; Xu, Kun Article
A BGK-based discontinuous Galerkin method for the Navier-Stokes equations on arbitrary grids
46th AIAA Aerospace Sciences Meeting and Exhibit, 2008
Luo, Hong; Xu, Kun Conference paper
Multiple temperature kinetic model for near continuum flows
46th AIAA Aerospace Sciences Meeting and Exhibit, 7-10, Jan 2008
Xu, Kun; Liu, Hongwei Conference paper
2007 15
A gas-kinetic discontinuous Galerkin method for viscous flow equations
Journal of Mechanical Science and Technology, v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1344-1351
Liu, Hongwei; Xu, Kun Article
A Runge-Kutta discontinuous Galerkin method for viscous flow equations
Journal of computational physics, v. 224, (2), 2007, JUN 10, p. 1223-1242
Liu, Hongwei; Xu, Kun Article
A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
Journal of computational physics, v. 226, (2), October 2007, p. 2003-2027
Tian, C.T.; Xu, Kun; Chan, Kwinglam; Deng, Licai Article
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation
Journal of computational physics, v. 222, (1), March 2007, p. 155-175
Jin, Changqiu; Xu, Kun Article
Gas-kinetic scheme for continuum and near-continuum hypersonic flows
Journal of spacecraft and rockets, v. 44, (6), 2007, NOV-DEC, p. 1232-1240
Liao, Wei; Luot, Li-Shi; Xu, Kun Article
High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics
Journal of computational physics, v. 227, (2), 2007, DEC 10, p. 967-982
Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun Article
Multiple temperature model for near continuum flows
Journal of Mechanical Science and Technology, v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1376-1382
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng Article
Multiple-temperature kinetic model for continuum and near continuum flows
Physics of fluids, v. 19, (1), 2007, JAN
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng Article
Multiscale gas-kinetic simulation for continuum and near-continuum flows
Physical Review E, v. 75, (1), January 2007
Xu, Kun; Liu, Hongwei Article
Development of a 2D/AXI kinetic BGK scheme for hypersonic nonequilibrium flow computations
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 13, 2007, p. 8863-8873
Cai, Chunpei; Liu, Danny D.; Xu, Kun Conference paper
Gas kinetic scheme for continuum and near-continuum hypersonic flows
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 2, 2007, p. 1355-1365
Liao, Wei; Luo, Lishi; Xu, Kun Conference paper
Gas-kinetic BGK Scheme for three dimensional magnetohydrodynamics
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 24, 2007, p. 16989-17006
Cai, Chunpei; Xu, Kun Conference paper
Multiple temperature kinetic model for continuum and near continuum flows
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 11, 2007, p. 7497-7510
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng Conference paper
Multiple temperature kinetic model for non-equilibrium flow computations
Collection of Technical Papers - 39th AIAA Thermophysics Conference, v. 2, 2007, p. 1408-1425
Xu, Kun; He, Xin; Cai, Chunpei Conference paper
Non-equilibrium Shock Structure Computation with a Kinetic BGK Scheme
Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting, v. 11, 2007, p. 7368-7380
Cai, Chunpei; Liu, Danny D.; Xu, Kun Conference paper
2006 10
An adaptive grid method for two-dimensional viscous flows
Journal of computational physics, v. 218, (1), 2006, OCT 10, p. 68-81
Jin, Changqiu; Xu, Kun Article
Continuum formulation for non-equilibrium shock structure calculation
Communications in computational physics, v. 1, (3), 2006, JUN, p. 425-448
Xu, Kun; Josyula, Eswar Article
Gas-kinetic scheme for rarefied flow simulation
Mathematics and computers in simulation, v. 72, (2-6), 2006, SEP 9, p. 253-256
Xu, Kun; Josyula, Eswar Article
Linear and nonlinear analysis of shallow wakes
Journal of fluid mechanics, v. 548, 2006, FEB 10, p. 309-340
Ghidaoui, Mohamed Salah; Kolyshkin, Andrei A.; Liang, Junhong; Chan, Franky Cathleen; Li, Qiu; Xu, Kun Article
Stability and consistency of kinetic upwinding for advection-diffusion equations
IMA journal of numerical analysis, v. 26, (4), 2006, OCT, p. 686-722
Torrilhon, Manuel; Xu, Kun Article
The gas-kinetic scheme for shallow water equations* * Project supported by the Hong Kong Research Grant Council (HKUST6102/04E, 6210/05E).
Journal of Hydrodynamics, v. 18, (3 SUPPL.), 2006, p. 73-76
Xu, Kun Article
The numerical study of roll-waves in inclined open channels and solitary wave run-up
International journal for numerical methods in fluids, v. 50, (9), 2006, MAR 30, p. 1003-1027
Que, Yin T.; Xu, Kun Article
三角形网格下求解二维浅水方程的KFVS格式
水利学报=Journal of Hydraulic Engineering, v. 2006, (07), 2006, p. 858-864
潘存鴻; 徐昆 Article
A one-dimensional multiple-temperature Gas-Kinetic BGK scheme for shock wave computation
A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference, v. 1, 2006, p. 1-13
Cai, Chunpei; Liu, Danny; Xu, Kun Conference paper
A two-dimensional GasKinetic BGK scheme for hypersonic thermal non-equilibrium flow computations
A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference, v. 1, 2006, p. 548-558
Cai, Chunpei; Liu, Danny; Xu, Kun Conference paper
2005 9
A compressible Navier-Stokes flow solver with scalar transport
Journal of computational physics, v. 204, (2), 2005, APR 10, p. 692-714
Li, Qibing; Fu, Song; Xu, Kun Article
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of computational physics, v. 203, (2), 2005, MAR 1, p. 405-421
Xu, Kun; Mao, Meiliang; Tang, Lei Article
Application of gas-kinetic scheme with kinetic boundary conditions in hypersonic flow
AIAA journal, v. 43, (10), 2005, OCT, p. 2170-2176
Li, Qibing; Fu, Song; Xu, Kun Article
Multiple translational temperature model and its shock structure solution
Physical Review E, v. 71, (5), May 2005
Xu, Kun; Josyula, Eswar Article
The application of gas-kinetic BGK scheme in near continuum flow regime
Acta Aerodynamica Sinica, 23, pp. 317-321
Mao, Meiliang; Xu, Kun; Deng, Xiaogang Article
动能BGK算法在近连续流模拟中的应用
空气动力学学报=Acta Aerodynamica Sinica, v. 2005, (03), 2005, p. 317-321
毛枚良; 徐昆; 鄧小剛 Article
Gas-kinetic model for Navier-Stokes solutions with multiple translational temperature
35th AIAA Fluid Dynamics Conference and Exhibit, Canada, June
Xu, Kun; Joysula, Eswar Conference paper
Non-equilibrium relaxation in high temperature gas flows
3rd MIT Conference on Computational Fluid and Solid Mechanics, Boston, June
Josyula, Eswar; Xu, Kun Conference paper
Testing continuum and non-continuum descriptions in high speed flows
AIP Conference Proceedings, v. 762, 2005, p. 1217-1222
Josyula, Eswar; Xu, Kun; Wadsworth, Dean C. Conference paper
2004 9
A gas-kinetic scheme for shallow-water equations with source terms
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 55, (3), 2004, MAY, p. 365-382
Tang, Huazhong; Tang, Tao; Xu, Kun Article
A gas-kinetic scheme for shallow-water equations with source terms
Zeitschrift fur angewandte Mathematik und Physik ZAMP, v. 55, (3), May 2004, p. 365-382
Tang, Huazhong; Tang, Tao; Xu, Kun Article
Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems
SIAM journal on scientific computing, v. 25, (6), 2004, p. 1941-1963
Xu, Kun Article
Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions
Journal of fluid mechanics, v. 513, 2004, AUG 25, p. 87-110
Xu, Kun; Li, Zhihui Article
Nonequilibrium Bhatnagar-Gross-Krook model for nitrogen shock structure
Physics of fluids, v. 16, (10), 2004, OCT, p. 3824-3827
Xu, Kun; Tang, Lei Article
The kinetic scheme for the full-Burnett equations
Journal of computational physics, v. 201, (1), 2004, NOV 20, p. 315-332
Ohwada, Taku; Xu, Kun Article
Gas-kinetic BGK scheme for hypersonic viscous flow
Computational Fluid Dynamics 2004, Proceedings, 2004, p. 183-188
Xu, Kun; Mao, Mei-Liang Conference paper
Nonequilibrium Relaxation in High Speed Flows
37th AIAA Thermophysics Conference, Portland, Oregon, Paper 2004-2468, June 28-July 1
Josyula, Eswar; Bailey, W.F.; Xu, Kun Conference paper
Unified gas-kinetic computational algorithm for continuum and rarefied flows
AIAA Paper, 2004, p. 7655-7666
Tang, Lei; Xu, Kun Conference paper
2003 4
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
Journal of computational physics, v. 190, (1), 2003, SEP 1, p. 100-117
Xu, Kun; He, Xiaoyi Article
Super-Burnett solutions for Poiseuille flow
Physics of fluids, v. 15, (7), 2003, JUL, p. 2077-2080
Xu, Kun Article
Kinematic and dynamic dissipation in shock capturing schemes
COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, p. 1201-1204
Xu, Kun Conference paper
Laminar Hypersonic Viscous Flow Calculations using Gas-kinetic BGK Scheme
National Fluid Mechanics Workshop for Young Scientists, Xi'an, November 8-11
Xu, Kun; Mao, M.L. Conference paper
2002 4
A slope-update scheme for compressible flow simulation
Journal of computational physics, v. 178, (1), 2002, MAY 1, p. 252-259
Xu, Kun Article
A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
Journal of computational physics, v. 178, (2), 2002, MAY 20, p. 533-562
Xu, Kun Article
KFVS method for one-dimensional shallow water equation
Journal of Hydrodynamics (Chinese), A17(2), 140-147
Xu, Kun; Pan, Chunhong Article
Regularization of the Chapman-Enskog expansion and its description of shock structure
Physics of Fluids, v. 14, (4), 2002
Xu, Kun Article
2001 11
A Boltzmann based model for open channel flows
International journal for numerical methods in fluids, v. 35, (4), 2001, FEB 28, p. 449-494
Ghidaoui, Mohamed Salah; Deng, Jiaquan; Gray, William G.; Xu, Kun Article
A Boltzmann-based mesoscopic model for contaminant transport in flow systems
Advances in water resources, v. 24, (5), 2001, MAY, p. 531-550
Deng, Jiaquan; Ghidaoui, Mohamed Salah; Gray, William G.; Xu, Kun Article
A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
Journal of computational physics, v. 171, (1), 2001, JUL 20, p. 289-335
Xu, Kun Article
A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow
Journal of computational physics, v. 166, (2), 2001, JAN 20, p. 383-399
Xu, Kun Article
Dissipative mechanism in Godunov-type schemes
International journal for numerical methods in fluids, v. 37, (1), 2001, SEP 15, p. 1-22
Xu, Kun; Li, Zuowu Article
Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 52, (1), 2001, JAN, p. 62-78
Lui, S.H.; Xu, Kun Article
Numerical simulations of resonant oscillations in a tube
Numerical HEAT Transfer PART a-applications, v. 40, (1), 2001, JUL, p. 37-54
Tang, Huazhong; Cheng, Ping; Xu, Kun Article
Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 52, (5), 2001, SEP, p. 847-858
Tang, Huazhong; Xu, Kun Article
一类通矢量分裂方法的保正性研究Ⅰ.显式格式
計算數學=Mathematica numerca sinica, v. 23, (4), November 2001, p. 469-476
汤华中; 徐昆 Article
Dissipative mechanism in Godunov method
COMPUTATIONAL FLUID DYNAMICS FOR THE 21ST CENTURY, PROCEEDINGS, v. 78, 2001, p. 309-321
Xu, Kun Conference paper
Gas-kinetic schemes for fluid simulations
COMPUTATIONAL FLUID DYNAMICS 2000, 2001, p. 14-27
Xu, Kun Conference paper
2000 5
A Gas-kinetic Scheme for Multimaterial Flows and its Application in Chemical Reactions
Journal of Computational Physics, v. 163, (2), 2000, SEP 20, p. 349-375
Lian, Yongsheng; Xu, Kun Article
A gas-kinetic scheme for reactive flows
Computers & fluids, v. 29, (7), 2000, SEP, p. 725-748
Lian, Yongsheng; Xu, Kun Article
A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
Journal of computational physics, v. 165, (1), 2000, NOV 20, p. 69-88
Tang, Huazhong; Xu, Kun Article
Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations
Journal of Scientific Computing, v. 15, (1), 2000, p. 19-28
Tang, Huazhong; Xu, Kun Article
用BGK格式计算不可压缩流场
力學學報=Acta mechanica sinica, v. 32, (6), November 2000, p. 641-650
苏铭德; 徐昆; M. ghidaoui Article
1999 7
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik, v. 50, (2), 1999, MAR, p. 258-281
Tang, Tao; Xu, Kun Article
Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
Journal of computational physics, v. 153, (2), 1999, AUG 10, p. 334-352
Xu, Kun Article
Low-speed flow simulation by the gas-kinetic scheme
Journal of computational physics, v. 150, (1), 1999, MAR 20, p. 17-39
Su, Mingde; Xu, Kun; Ghidaoui, Mohamed Salah Article
Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit
Physical Review E, v. 60, (1), July 1999
Xu, Kun; Lui, Shiu Hong Article
Unsplitting BGK-type schemes for the shallow water equations
International journal of modern physics C, v. 10, (4), 1999, JUN, p. 505-516
Xu, Kun Article
Does Perfect Riemann Solver Exist?
14th Computational Fluid Dynamics Conference, 1999, p. 771-779
Xu, Kun Conference paper
Gas-kinetic Flux Splitting Method for Ideal Magnetohydrodynamics
14th Computational Fluid Dynamics Conference, 1999, p. 626-635
Xu, Kun Conference paper
1998 3
A gas-kinetic scheme for the Euler equations with heat transfer
SIAM journal on scientific computing, v. 20, (4), 1998, APR 7, p. 1317-1335
Xu, Kun Article
Connection between lattice-Boltzmann equation and beam scheme
International journal of modern physics C, v. 9, (8), 1998, DEC, p. 1177-1187
Xu, Kun; Luo, Lishi Article
Projection dynamics in Godunov-type schemes
Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan Article
1997 3
BGK-based Scheme for Multicomponent Flow Calculations
Journal of Computational Physics, v. 134, (1), June 1997, p. 122-133
Xu, Kun Article
A BGK Solver for Multicomponent Euler Equations
13th Computational Fluid Dynamics Conference, 1997, p. 1206-1215
Xu, Kun Conference paper
An Accurate LED-BGK Solver on Unstructured Adaptive Meshes
35th Aerospace Sciences Meeting and Exhibit, 1997, Article number AIAA
Kim, Chong A.; Jameson, Antony; Martinelli, Luigi; Xu, Kun Conference paper
Teaching Assignment
2021-22 Winter 0 2021-22 Fall 7 2020-21 Summer 0 2020-21 Spring 5 2020-21 Winter 0 2020-21 Fall 5
MATH4326 Introduction to Fluid Dynamics
MATH5350 Computational Fluid Dynamics for Inviscid Flows
MATH6913L Reading Course: Turbulent Flows
MATH6915 Scientific Computation Seminar
MATH6915A Scientific Computation Seminar
MATH6916 Student Seminars on Computation Related Research
OCES4326 Introduction to Fluid Dynamics
MATH4351 Numerical Solutions of Partial Differential Equations
MATH6913A Reading Course: Introduction to Turbulent Flows
MATH6915 Scientific Computation Seminar
MATH6915A Scientific Computation Seminar
MATH6916 Student Seminars on Computation Related Research
MATH4326 Introduction to Fluid Dynamics
MATH5350 Computational Fluid Dynamics for Inviscid Flows
MATH6915 Scientific Computation Seminar
MATH6915A Scientific Computation Seminar
OCES4326 Introduction to Fluid Dynamics
No Teaching Assignments
No Teaching Assignments
No Teaching Assignments
Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)
All Supervisions Current RPGs Graduated RPGs
Current RPGs
Doctor of Philosophy PU, Zhigang
Mathematics( 2022 - )
FAN, Yanchen (co-supervision)
Sustainable Energy and Environment( 2021 - )
HAN, Kai (co-supervision)
Mathematics( 2021 - )
ZHANG, Yue
Mathematics( 2021 - )
WEI, Yufeng
Mathematics( 2020 - )
LI, Chengxiang
Mechanical Engineering( 2019 - )
YANG, Xiaojian (co-supervision)
Mechanical Engineering( 2019 - )
ZHAO, Fengxiang (co-supervision)
Mechanical Engineering( 2018 - )
ZHAO, Wenjin
Mechanical Engineering( 2018 - )
XIE, Qing
Mathematics( 2017 - )
Master of Philosophy LIM, Gyuha
Mechanical Engineering( 2019 - )
Graduated RPGs
Doctor of Philosophy CHEN, Yipei
Mathematics( Completed in 2021 )
CAO, Guiyu
Mathematics( Completed in 2020 )
JI, Xing
Mathematics( Completed in 2019 )
Master of Philosophy YANG, Lu
Mathematics( Completed in 2021 )
ProjectsFrom January 2020 to December 2022
All Projects 7 Leading Projects 5 Participating Projects 2
Study of space-time-coupled compact high-order gas-kinetic scheme
基于氣體動理學的時空耦合緊致高精度格式研究 Leading
National Natural Science Foundation of China
Project Team (HKUST)
XU Kun (Lead)
2022 -
Non-equilibrium flow modeling and simulation
非平衡流動的建模和模擬 Leading
RGC - General Research Fund
Project Team (HKUST)
XU Kun (Lead)
2022 -
Guang Dong - Hong Kong - Macau Joint Laboratory on Data-Driven Fluid Mechanics and Its Engineering Applications
粵港澳數據驅動下的流體力學與工程應用聯合實驗室 Participating
Department of Science and Technology of Guangdong Province
Project Team (HKUST)
LI Larry
TONG Penger
TSE Kam Tim
WANG Yang
XU Kun
YANG Can
2021 -
Time-Relaxation Turbulence Modeling Based on Non-equilibrium Gas-Kinetic Theory
基于非平衡氣體動理學的時間松弛湍流建模 Leading
National Natural Science Foundation of China
Project Team (HKUST)
XU Kun (Lead)
2019 - 2021
Development of higher-order compact gas-kinetic Schemes for the Euler and Navier-Stokes equations
發展求解歐拉方程和納維斯托克斯方程的高階緊致氣體動理學格式 Leading
RGC - General Research Fund
Project Team (HKUST)
XU Kun (Lead)
2018 - 2021
Study of multi-scale numerical method for partially ionized plasma
動態電離等離子體的多尺度數值格式研究 Leading
National Natural Science Foundation of China
Project Team (HKUST)
XU Kun (Lead)
2018 - 2021
Smart urban water supply systems (Smart UWSS)
智慧型城市供水系統 Participating
RGC - Theme-based Research Scheme
Project Team (HKUST)
GHIDAOUI Mohamed Salah Ben Habib (Lead)
DIMITRAKOPOULOS Ilias
KATAFYGIOTIS Lambros
MURCH Ross
P. PALOMAR Daniel
XU Kun
ZHANG Xin
2016 - 2020
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