Finite-volume-particle methods for models of transport of pollutant in shallow water

被引：14
|
作者：
Chertock, Alina
Kurganov, Alexander
Petrova, Guergana
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] Tulane Univ, Dept Math, New Orleans, LA 70118 USA
[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2006年 / 27卷 / 1-3期
关键词：
Saint-Venant system of shallow water equations; transport of pollutant; finite-volume schemes; particle methods; central-upwind schemes; balance laws;
D O I：
10.1007/s10915-005-9060-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new hybrid numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. The idea behind the new finite-volume-particle (FVP) method is to use different schemes for the flow and the pollution computations: the shallow water equations are numerically integrated using a finite-volume scheme, while the transport equation is solved by a particle method. This way the specific advantages of each scheme are utilized at the right place. This results in a significantly enhanced resolution of the computed solution.
引用
收藏
页码：189 / 199
页数：11
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