A numerical technique for applying time splitting methods in shallow water equations
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https://doi.org/10.1016/j.compfluid.2017.10.003 |
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Título
A numerical technique for applying time splitting methods in shallow water equationsAutoría
Fecha de publicación
2018-06-30ISSN
0045-7930Cita bibliográfica
MARTÍNEZ, Vicente. A numerical technique for applying time splitting methods in shallow water equations. Computers & Fluids, 2018, vol. 169, p. 285-295.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0045793017303602Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this paper we analyze the use of time splitting techniques for solving shallow water equations. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock ... [+]
In this paper we analyze the use of time splitting techniques for solving shallow water equations. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock waves are controlled. This work shows that these schemes must be well balanced in the meaning expressed by Greenberg and Leroux [7]. More specifically, we analyze in what cases it is enough to verify an Approximate C-property and in which cases it is required to verify an Exact C-property (see [1, 2]). We also discuss this technique in two dimensions and include some numerical tests in order to justify our argument. [-]
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Computers & Fluids, 2018, vol. 169Derechos de acceso
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