标题:A new weighted upwind finite volume element method based on non-standard covolume for time-dependent convection-diffusion problems
作者:Fuzheng Gao;Dong Liang
作者机构:[Gao, F] School of Mathematics, Shandong University, Jinan 250100, Shandong, China;[ Liang, D] Department of Mathematics and Statistics, York Universi 更多
通讯作者:Gao, F
通讯作者地址:[Gao, FZ]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源:International Journal for Numerical Methods in Fluids
出版年:2013
卷:73
期:11
页码:953-975
DOI:10.1002/fld.3830
关键词:Convection-diffusion;Weighted upwind FVEM;Nonstandard covolume;High-order accuracy;Mass conservation;Stability
摘要:In modern numerical simulation of problems in energy resources and environmental science, it is important to develop efficient numerical methods for time-dependent convection-diffusion problems. On the basis of nonstandard covolume grids, we propose a new kind of high-order upwind finite volume element method for the problems. We first prove the stability and mass conservation in the discrete forms of the scheme. Optimal second-order error estimate in L_2-norm in spatial step is then proved strictly. The scheme is effective for avoiding numerical diffusion and nonphysical oscillations and has second-order accuracy. Numerical experiments are given to verify the performance of the scheme.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:1
Scopus被引频次:1
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887199981&doi=10.1002%2ffld.3830&partnerID=40&md5=4256f84ad51a6e8ee7c1ee1de51e91f7
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