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
收藏
页码：230 / 241
页数：12
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