A hybrid finite volume/finite element method for incompressible generalized Newtonian fluid flows on unstructured triangular meshes

作     者：Wei Gao Ruxun Liu 

作者机构：Department of MathematicsUniversity of Science and Technology of China230026 Hefei China School of Mathematical SciencesInner Mongolia University 010021 Hohhot China 

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

年 卷 期：2009年第25卷第6期

页      面：747-760页

核心收录：

学科分类：07[理学] 080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 070102[理学-计算数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (10771134) 

主　　题：Generalized Newtonian fluid  Finite volume method . Finite element methodUnstructured grid 

摘      要：This paper presents a hybrid finite volume/finite element method for the incompressible generalized Newtonian fluid flow （Power-Law model）. The collocated （i.e. non-staggered） arrangement of variables is used on the unstructured triangular grids, and a fractional step projection method is applied for the velocity-pressure coupling. The cell-centered finite volume method is employed to discretize the momentum equation and the vertex-based finite element for the pressure Poisson equation. The momentum interpolation method is used to suppress unphysical pressure wiggles. Numerical experiments demonstrate that the current hybrid scheme has second order accuracy in both space and time. Results on flows in the lid-driven cavity and between parallel walls for Newtonian and Power-Law models are also in good agreement with the published solutions.