Artículo
On an Intermediate Field Capturing Riemann solver based on a Parabolic viscosity matrix for the two-layer shallow water system
Título alternativo | IFCP solver for the the two-layer SWS. |
Autor/es | Fernández Nieto, Enrique Domingo
Castro Díaz, Manuel Jesús Parés Madroñal, Carlos |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2011 |
Fecha de depósito | 2016-01-20 |
Publicado en |
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Resumen | The goal of this article is to design a new approximate Riemann solver for
the two-layer shallow water system which is fast compared to Roe schemes
and accurate compared to Lax-Friedrichs, FORCE, or GFORCE schemes ... The goal of this article is to design a new approximate Riemann solver for the two-layer shallow water system which is fast compared to Roe schemes and accurate compared to Lax-Friedrichs, FORCE, or GFORCE schemes (see[14]). This Riemann solver is based on a suitable decomposition of a Roe matrix (see [27]) by means of a parabolic viscosity matrix (see [16]) that captures some information concerning the intermediate characteristic fields. The corresponding first order numerical scheme, which is called IFCP (Intermediate Field Capturing Parabola) is linearly L∞-stable, well-balanced, and it doesn’t require an entropy-fix technique. Some numerical experiments are presented to compare the behavior of this new scheme with Roe and GFORCE methods |
Ficheros | Tamaño | Formato | Ver | Descripción |
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ifcp_2layer_2011.pdf | 750.1Kb | [PDF] | Ver/ | |