An entropy-correction free solver for non-homogeneous shallow water equations
Rebollo, Tomás Chacón ; Delgado, Antonio Domínguez ; Fernández Nieto, Enrique D.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003), p. 755-772 / Harvested from Numdam
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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.

Publié le : 2003-01-01
DOI : https://doi.org/10.1051/m2an:2003043
Classification:  65N06,  76B15,  76M20,  76N99 
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     author = {Rebollo, Tom\'as Chac\'on and Delgado, Antonio Dom\'\i nguez and Fern\'andez Nieto, Enrique D.},
     title = {An entropy-correction free solver for non-homogeneous shallow water equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {37},
     year = {2003},
     pages = {755-772},
     doi = {10.1051/m2an:2003043},
     mrnumber = {2020863},
     zbl = {1033.76032},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2003__37_5_755_0}
}

Rebollo, Tomás Chacón; Delgado, Antonio Domínguez; Fernández Nieto, Enrique D. An entropy-correction free solver for non-homogeneous shallow water equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) pp. 755-772. doi : 10.1051/m2an:2003043. http://gdmltest.u-ga.fr/item/M2AN_2003__37_5_755_0/

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