A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-staggered unstructured meshes

Wei Gao; Ru-Xun Liu; Hong Li

首页> 中文期刊> 《力学学报：英文版》 >A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-staggered unstructured meshes

A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-staggered unstructured meshes

开具论文收录证明 >>

期刊封面封底目录下载 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

This paper proposes a hybrid vertex-centered finite volume/finite element method for sol ution of the two dimensional (2D) incompressible Navier-Stokes equations on unstructured grids.An incremental pressure fractional step method is adopted to handle the velocity-pressure coupling.The velocity and the pressure are collocated at the node of the vertex-centered control volume which is formed by joining the centroid of cells sharing the common vertex.For the temporal integration of the momentum equations,an implicit second-order scheme is utilized to enhance the computational stability and eliminate the time step limit due to the diffusion term.The momentum equations are discretized by the vertex-centered finite volume method (FVM) and the pressure Poisson equation is solved by the Galerkin finite element method (FEM).The momentum interpolation is used to damp out the spurious pressure wiggles.The test case with analytical solutions demonstrates second-order accuracy of the current hybrid scheme in time and space for both velocity and pressure.The classic test cases,the lid-driven cavity flow,the skew cavity flow and the backward-facing step flow,show that numerical results are in good agreement with the published benchmark solutions.

著录项

来源
《力学学报：英文版》 |2012年第002期|324-334|共11页
作者
Wei Gao; Ru-Xun Liu; Hong Li;
展开▼
作者单位

School of Mathematical Sciences, Inner Mongolia University,010021 Huhhot, China;

Department of Mathematics,University of Science and Technology of China,230026 Hefei, China;

School of Mathematical Sciences, Inner Mongolia University,010021 Huhhot, China;

展开▼
原文格式 PDF
正文语种 chi
中图分类
关键词

A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-staggered unstructured meshes

摘要

著录项

相关主题

期刊订阅