关键词: 光滑粒子动力学方法/
Taylor展开/
黏弹流体/
充模过程
English Abstract
Simulation of polymer filling process by an improved smoothed particle hydrodynamics method based on higher-order Taylor expansion
Jiang Tao,Lu Wei-Gang,
Ren Jin-Lian,
Xu Lei,
Lu Lin-Guang
1.Department of Mathematics, School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou 225002, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 11501495, 51541912, 51309200), the Postdoctoral Science Foundation of China (Grant Nos. 2014M550310, 2015M581869, 2015T80589), the Natural Science Foundation of Jiangsu Province, China (Grant Nos. BK20150436, BK20130436), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 15KJB110025), and the sub-project of National Key Technology Research and Development Program of the Ministry of Science and Technology of China (Grant No. 2015BAD24B02-02).Received Date:13 June 2016
Accepted Date:26 July 2016
Published Online:05 November 2016
Abstract:In this work, an improved smoothed particle hydrodynamics (SPH) method based on higher order Taylor expansion (CSPH_HT) is proposed and tentatively applied to the filling process of the viscoelastic fluid. Owing to the disadvantages of the traditional SPH method and the presented corrected SPH methods, the CSPH_HT method based on the higher order Taylor expansion is proposed and described in detail. In order to illustrate the validity and merits of the CSPH_HT method, two benchmark problems are simulated and discussed. The numerical results show that the proposed CSPH_HT method has higher numerical accuracy and better stability. Subsequently, the proposed improved SPH method is extended to simulate the filling processes of the viscoelastic fluid in the ring-shaped mold, for the purpose of exhibiting the capacity of the proposed method. The extended pom-pom (XPP) model and finitely extensible nonlinear elastic-Peterlin (FENE-P) model fluid are all considered in this case, in which the viscoelastic fluid flow and extra stress are shown. The differences in fluid flow between the XPP model and FENE-P model are also discussed. Finally, the filling process of the viscoelastic fluid in the square mold with single inlet or two inlets are tentatively simulated. The differences between the filling process of XPP fluid and the filling process of FENE-P fluid are shown, and the influences of the parameters of the mold on the flow are analyzed. Especially, the influences of locations and sizes of two inlets on the filling process of viscoelastic fluid are illustrated. The XPP model fluid and FENE-P model fluid show different characteristics in the filling process and small change of the size of the mold can lead to obvious change of the flow.
Keywords: smoothed particle hydrodynamics/
Taylor expansion/
viscoelastic fluid/
filling process
