李裕龙¹, 储南洋¹, 胡湛¹, 姚鹏¹, 邓锐²
AuthorsHTML:李裕龙¹, 储南洋¹, 胡湛¹, 姚鹏¹, 邓锐²
AuthorsListE:Li Yulong¹, Chu Nanyang¹, Hu Zhan¹, Yao Peng¹, Deng Rui²
AuthorsHTMLE:Li Yulong¹, Chu Nanyang¹, Hu Zhan¹, Yao Peng¹, Deng Rui²
Unit:1. 中山大学海洋科学学院，广州 119077；2. 中山大学海洋工程与技术学院，广州 119077
Unit_EngLish:1. College of Marine Science, Sun Yat-sen University, Guangzhou 119077, China
2. College of Ocean Engineering and Technology, Sun Yat-sen University, Guangzhou 119077, China
Abstract_Chinese:本文成功实现了基于非匹配网格的三维Common-Refinement方法, 可将其应用于离散后流体与弹性体的非重叠子区域之间的接触面, 用于数值求解三维非定常流固耦合问题．首先, 为了满足两者之间液体和弹性耦合界面间牵引力的平衡条件, 本文系统研究了Common-Refinement方法的空间插值的准确性和可靠性．本文根据一系列的不同拓扑结构的网格划分方案, 通过改流体和结构网格之间的网格匹配系数系统地评估Common-Refinement方法的准确性和精度, 证明了Common-Refinement方法沿界面的流体和固体网格的数据传输具有稳定的二阶精度．进而将Common-Refinement方法应用于非定常流固耦合算例, 研究了非定常计算中的误差累积以及Common-Refinement方法的并行效率．最后本文将本方法应用于三维标准的圆柱体-弹性板问题, 并与文献中标准解进行了对比．求解结果证明了Common-Refinement方法在三维非定常流固耦合数值计算中能够保持全场二阶精度．
Abstract_English:A three-dimensional(3D)Common-Refinement method for non-matching meshes between discrete non-overlapping sub-domains of incompressible fluid and nonlinear elastic structure was presented in this paper. To begin with，the accuracy of Common-Refinement method(CRM)to satisfy traction equilibrium condition along the fluid-elastic interface with non-matching meshes was investigated. Then，the accuracy of CRM against the matching grid solution by varying grid mismatch between the fluid and solid meshes with different topological structures was systematically assessed. The second-order accuracy of CRM was acquired through uniform refinements of fluid and solid meshes along the interface. Meanwhile，error accumulation during unsteady fluid-structure interaction simulation as well as parallel performance of Common-Refinement method was investigated. In the end，a 3D benchmark problem of a cantilevered hyperelastic plate behind a circular bluff body was solved to verify the accuracy of coupled solutions with respect to the solution available in the literature. Numerical results show that CRM can maintain second-order accuracy for unsteady 3D fluid structure interaction numerical simulations.
Keyword_Chinese:流固耦合; 误差分析; Common-Refinement; 非匹配网格
Keywords_English:fluid-structure interaction; error analysis; Common-Refinement; non-matching meshes

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