Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes

被引：28

作者：

Buet, Christophe ^{[1
]}

Despres, Bruno ^{[2
]}

Franck, Emmanuel ^{[1
,2
]}

机构：

[1] DIF, DAM, CEA, F-91297 Arpajon, France

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

来源：

NUMERISCHE MATHEMATIK | 2012年 / 122卷 / 02期

关键词：

WELL-BALANCED SCHEME; STIFF RELAXATION; CONVERGENCE; TERMS;

D O I：

10.1007/s00211-012-0457-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an asymptotic preserving nodal discretization of the hyperbolic heat equation, also known as the P (1) equation, on unstructured meshes in 2-D. This method, in diffusive regime, overcomes the problem of the inconsistent limit with diffusion, of classical multidimensional extensions of 1-D asymptotic preserving schemes, based on edge formulation. We provide both theoretical and numerical results.

引用

页码：227 / 278

页数：52

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