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

M. J. Castro (), E. D. Fernández Nieto (), A. M. Ferreiro Ferreiro (), J. A. García Rodríguez () and C. Parés ()
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M. J. Castro: U. de Málaga, Dpto. de Análisis Matemático
E. D. Fernández Nieto: U. de Sevilla, Dpto. Matemática Aplicada I
A. M. Ferreiro Ferreiro: U. de A Coruña, Dpto. de Matemáticas
J. A. García Rodríguez: U. de A Coruña, Dpto. de Matemáticas
C. Parés: U. de Málaga, Dpto. de Análisis Matemático

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 241-248 from Springer

Abstract: Abstract 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.

Keywords: Contact Discontinuity; Order Scheme; Pollutant Transport; State Reconstruction; Reconstruction Operator (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_28

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DOI: 10.1007/978-3-540-69777-0_28

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