Application of Nonlinear Monotone Finite Volume Schemes to Advection-Diffusion Problems

被引：0

作者：

Vassilevski, Yuri ^{[1
]}

Danilov, Alexander ^{[1
]}

Kapyrin, Ivan ^{[1
]}

Nikitin, Kirill ^{[1
]}

机构：

[1] RAS, Inst Numer Math, Moscow 119333, Russia

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2 | 2011年 / 4卷

基金：

俄罗斯基础研究基金会;

关键词：

Monotone finite volumes; advection-diffusion; TETRAHEDRAL MESHES; POLYGONAL MESHES; EQUATIONS;

D O I：

10.1007/978-3-642-20671-9_80

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two conservative schemes for the nonstationary advection-diffusion equation featuring nonlinear monotone finite volume methods (FVMON) are considered. The first one is an operator-splitting scheme which uses discontinuous finite elements for the advection operator discretization and FVMON for the diffusion operator. The second one introduces another type of FVMON and is implicit second-order BDF in time. A brief description of the schemes and their properties is given. A numerical study is conducted in order to check their convergence and to compare them with conventional methods.

引用

页码：761 / 769

页数：9

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