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entropy-correction

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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An entropy-correction free solver for non-homogeneous shallow water equations
Tomás Chacón Rebollo, Antonio Domínguez Delgado, Enrique D. Fernández Nieto
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 5 / September 2003

Published online by Cambridge University Press:

15 November 2003, pp. 755-772

Print publication:

September 2003
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In this work we introduce an accurate solver for theShallow 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.