A corrected particle method with high-order Taylor expansion for solving the viscoelastic fluid flow

作     者：T. Jiang J. L. Ren W. G. Lu B. Xu 

作者机构：School of Mathematical Sciences Yangzhou UniversityYangzhou 225002 China Department of Applied Mathematics Northwestern Polytechnical University Xi’an 710129 China School of Hydraulic Energy and Power EngineeringYangzhou University Yangzhou 225002 China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2017年第33卷第1期

页      面：20-39页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：support of the National Natural Science Foundation of China (Grants 11501495, 51541912, 51409227) the Natural Science Foundation of Jiangsu Province, China (Grants BK20130436, BK20150436) the Postdoctoral Science Foundation of China (Grants 2014M550310, 2015M581869, 2015T80589) the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province (Grant 15KJB110025) 

主　　题：Smoothed particle hydrodynamics High-order Taylor expansion Viscoelastic fluid Extended pom-pom model 

摘      要：In this paper, a corrected particle method based on the smoothed particle hydrodynamics (SPH) method with high-order Taylor expansion (CSPH-HT) for solving the viscoelastic flow is proposed and investigated. The validity and merits of the CSPH-HT method are first tested by solving the nonlinear high order Kuramoto-Sivishinsky equation and simulating the drop stretching, respectively. Then the flow behaviors behind two stationary tangential cylinders of polymer melt, which have been received little attention, are investigated by the CSPH-HT method. Finally, the CSPH-HT method is extended to the simulation of the filling process of the viscoelastic fluid. The numerical results show that the CSPH-HT method possesses higher accuracy and stability than other corrected SPH methods and is more reliable than other corrected SPH methods.