A monotone finite volume scheme for advection-diffusion equations on distorted meshes

被引：34
|
作者：
Wang, Shuai [1 ]
Yuan, Guangwei [2 ]
Li, Yonghai [3 ]
Sheng, Zhiqiang [2 ]
机构：
[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
[2] Inst Appl Phys & Computat Math, Natl Key Lab Sci & Technol Computat Phys, Beijing 100088, Peoples R China
[3] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2012年 / 69卷 / 07期
关键词：
advection-dominated; diffusion-dominated; finite volume method; discrete maximum principle; nonlinear two-point flux; monotone method;
D O I：
10.1002/fld.2640
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A new monotone finite volume method with second-order accuracy is presented for the steady-state advectiondiffusion equation. The method uses a nonlinear approximation for both diffusive and advective fluxes that guarantee the positivity of the numerical solution. The approximation of the diffusive flux is based on nonlinear two-point approximation, and the approximation of the advective flux is based on the second-order upwind method with proper slope limiter. The second-order convergence rate for concentration and the monotonicity of the nonlinear finite volume method are verified with numerical experiments. Copyright (C) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码：1283 / 1298
页数：16
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