HIGH ORDER WELL-BALANCED SCHEMES BASED ON NUMERICAL RECONSTRUCTION OF THE EQUILIBRIUM VARIABLES

被引：12

作者：

Russo, G. ^{[1
]}

Khe, A. ^{[2
]}

机构：

[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

[2] Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia

来源：

WASCOM 2009: 15TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA | 2010年

关键词：

Well-balanced schemes; Numerical reconstruction; High order methods; VOLUME WENO SCHEMES; HYPERBOLIC SYSTEMS; SOURCE TERMS;

D O I：

10.1142/9789814317429_0032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we deal with the problem of construction of well-balanced schemes for hyperbolic systems of balance laws. A method based on two sets of variables (conservative and equilibrium ones) is considered.(6) We propose a method for reconstruction of the equilibrium variables when the analytical mapping between the equilibrium variables and conservative ones is unknown. For model scalar equation well-balanced schemes of up to the fourth order are constructed. Numerical results shows the well-balanced properties and high order resolution of the schemes.

引用

页码：230 / 241

页数：12

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