Convergence of finite volume schemes for triangular systems of conservation laws

被引：14

作者：

Hvistendahl, Kenneth ^{[1
]}

Mishra, Siddhartha ^{[1
]}

Risebro, Nils Henrik ^{[1
]}

机构：

[1] Univ Oslo, CMA, N-0316 Oslo, Norway

来源：

NUMERISCHE MATHEMATIK | 2009年 / 111卷 / 04期

关键词：

LAX-FRIEDRICHS SCHEME; DIFFERENCE SCHEME; CONTINUOUS SEDIMENTATION; DISCONTINUOUS FLUX; EQUATIONS; SUSPENSIONS; MODEL;

D O I：

10.1007/s00211-008-0199-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider non-strictly hyperbolic systems of conservation laws in triangular form, which arise in applications like three-phase flows in porous media. We device simple and efficient finite volume schemes of Godunov type for these systems that exploit the triangular structure. We prove that the finite volume schemes converge to weak solutions as the discretization parameters tend to zero. Some numerical examples are presented, one of which is related to flows in porous media.

引用

页码：559 / 589

页数：31

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