# An entropy-correction free solver for non-homogeneous shallow water equations

Tomás Chacón Rebollo; Antonio Domínguez Delgado; Enrique D. Fernández Nieto

- Volume: 37, Issue: 5, page 755-772
- ISSN: 0764-583X

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topRebollo, Tomás Chacón, Delgado, Antonio Domínguez, and 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 37.5 (2003): 755-772. <http://eudml.org/doc/245388>.

@article{Rebollo2003,

abstract = {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.},

author = {Rebollo, Tomás Chacón, Delgado, Antonio Domínguez, Fernández Nieto, Enrique D.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {finite volume method; upwinding; shallow water; Harten regularization; source terms; entropy-correction; generalized conservation form; finite volume solvers},

language = {eng},

number = {5},

pages = {755-772},

publisher = {EDP-Sciences},

title = {An entropy-correction free solver for non-homogeneous shallow water equations},

url = {http://eudml.org/doc/245388},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Rebollo, Tomás Chacón

AU - Delgado, Antonio Domínguez

AU - Fernández Nieto, Enrique D.

TI - An entropy-correction free solver for non-homogeneous shallow water equations

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 5

SP - 755

EP - 772

AB - 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.

LA - eng

KW - finite volume method; upwinding; shallow water; Harten regularization; source terms; entropy-correction; generalized conservation form; finite volume solvers

UR - http://eudml.org/doc/245388

ER -

## References

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