Volume 37, Number 5, September-October 2003
|Page(s)||755 - 772|
|Published online||15 November 2003|
An entropy-correction free solver for non-homogeneous shallow water equations
Departamento de Ecuaciones
Diferenciales y Análisis Numérico, Universidad de Sevilla, C/ Tarfia, s/n, 41080
Sevilla, Spain. firstname.lastname@example.org.
2 Departamento de Matemática Aplicada I, Universidad de Sevilla, E.T.S. Arquitectura Avda, Reina Mercedes s/n, 41012 Sevilla, Spain. email@example.com.
3 Departamento de Matemática Aplicada I, Universidad de Sevilla, E.T.S. Arquitectura. Avda, Reina Mercedes, s/n, 41012 Sevilla, Spain. firstname.lastname@example.org.
Revised: 27 March 2003
In this work we introduce an accurate solver for the Shallow Water Equations with source terms. This scheme does not need any kind of entropy correction to avoid instabilities near critical points. The scheme also solves the non-homogeneous case, in such a way that all equilibria are computed at least with second order accuracy. We perform several tests for relevant flows showing the performance of our scheme.
Mathematics Subject Classification: 65N06 / 76B15 / 76M20 / 76N99.
Key words: Finite Volume Method / upwinding / shallow water / Harten Regularization / source terms / entropy-correction
© EDP Sciences, SMAI, 2003
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