High Order Two Dimensional Numerical Schemes for the Coupling of Transport Equations and Shallow Water Equations

被引：1
|
作者：
Castro, M. J. [1 ]
Fernandez Nieto, E. D. [2 ]
Ferreiro, A. M. Ferreiro [3 ]
Rodriguez, J. A. Garcia [3 ]
Pares, C. [1 ,3 ]
机构：
[1] U Malaga, Dpto Anal Matemat, Malaga, Spain
[2] Univ Seville, Dept Matemat, Seville, Spain
[3] Univ Cronua, Dpto Matemat, Cronua, Spain
来源：
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS | 2008年
关键词：
D O I：
10.1007/978-3-540-69777-0_28
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we apply a second order 2d scheme for non-conservative hyperbolic systems based on state reconstructions, for the modelization of the transport of a pollutant in a fluid. The mathematical model consists in the coupling of a system of shallow water system and a transport equation. That coupling gives rise to a new linearly degenerated field in the system. Therefore, to approximate the evolution of the pollutant, it is necessary to consider numerical methods that can capture accurately those contact discontinuities.
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收藏
页码：241 / +
页数：2
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