标题:Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes
作者:Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
作者机构:[Lai, Xiang] Shandong Univ, Dept Math, Jinan 250100, Peoples R China.; [Sheng, Zhiqiang; Yuan, Guangwei] Inst Appl Phys & Computat Math, Lab Computa 更多
通讯作者:Yuan, GW
通讯作者地址:[Yuan, GW]Inst Appl Phys & Computat Math, Lab Computat Phys, POB 8009, Beijing 100088, Peoples R China.
来源:COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版年:2017
卷:21
期:1
页码:162-181
DOI:10.4208/cicp.220415.090516a
关键词:Monotonicity; finite volume scheme; diffusion equation; tetrahedral; meshes
摘要:We construct a nonlinear monotone finite volume scheme for three-dimensional diffusion equation on tetrahedral meshes. Since it is crucial important to eliminate the vertex unknowns in the construction of the scheme, we present a new efficient eliminating method. The scheme has only cell-centered unknowns and can deal with discontinuous or tensor diffusion coefficient problems on distorted meshes rigorously. The numerical results illustrate that the resulting scheme can preserve positivity on distorted tetrahedral meshes, and also show that our scheme appears to be approximate second-order accuracy for solution.
收录类别: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-s2.0-85002929778&doi=10.4208%2fcicp.220415.090516a&partnerID=40&md5=3d91f40b4fa54c192bb011bb167cdee2
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