A WELL-BALANCED DG SCHEME WITH UNCONDITIONALLY POSITIVE IMPLICIT TIME INTEGRATION

被引：0

作者：

Ortleb, Sigrun ^{[1
]}

Meister, Andreas ^{[1
]}

机构：

[1] Univ Kassel, Fachbereich Math & Nat Wissensch, Heinrich Plett Str 40, D-34132 Kassel, Germany

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷

关键词：

DG method; shallow water equations; implicit time integration; well-balancedness; unconditional positivity; Patankar schemes; SHALLOW-WATER EQUATIONS; DISCONTINUOUS GALERKIN METHODS; CONSERVATION-LAWS; SOURCE TERMS; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new well-balanced and positivity preserving DG scheme with modal filtering on unstructured triangular grids using implicit time integration. The novel approach is based on the so-called Patankar trick and guarantees non-negativity of the water height for any time step size while still preserving conservativity. Due to this modification, the implicit scheme can now take full advantage of larger time steps and is therefore able to beat explicit time stepping in terms of CPU time.

引用

页码：823 / 830

页数：8

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