A Finite Volume Method for a Convection-Diffusion Equation Involving a Joule Term

被引：0

作者：

Calgaro, Caterina ^{[1
]}

Creuse, Emmanuel ^{[2
]}

机构：

[1] Univ Lille, INRIA, Lab Paul Painleve, CNRS,UMR 8524, F-59000 Lille, France

[2] Univ Poly Hauts de France, EA 4015, LAMAV, FR CNRS 2956, F-59313 Valenciennes, France

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS IX-METHODS, THEORETICAL ASPECTS, EXAMPLES, FVCA 9 | 2020年 / 323卷

关键词：

Finite volume scheme; Joule term; Maximum principle; ELEMENT;

D O I：

10.1007/978-3-030-43651-3_37

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to a Finite Volume method to approximate the solution of a convection-diffusion equation involving a Joule term. We propose a way to discretize this so-called "Joule effect" term in a consistent way with the non linear diffusion one, in order to ensure some maximum principle properties on the solution. We then investigate the numerical behavior of the scheme on two original benchmarks.

引用

页码：405 / 413

页数：9

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