An entropy-correction free solver for non-homogeneous shallow water equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 5, pp. 755-772.

Voir la notice de l'article dans Numdam

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.

DOI : 10.1051/m2an:2003043
Classification : 65N06, 76B15, 76M20, 76N99
Mots-clés : finite volume method, upwinding, shallow water, Harten regularization, source terms, entropy-correction 
@article{M2AN_2003__37_5_755_0,
     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 },
     pages = {755--772},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {5},
     year = {2003},
     doi = {10.1051/m2an:2003043},
     zbl = {1033.76032},
     mrnumber = {2020863},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003043/}
}
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 
PY  - 2003
SP  - 755
EP  - 772
VL  - 37
IS  - 5
PB  - EDP-Sciences
UR  - https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003043/
DO  - 10.1051/m2an:2003043
LA  - en
ID  - M2AN_2003__37_5_755_0
ER  - 
%0 Journal Article
%A Rebollo, Tomás Chacón
%A Delgado, Antonio Domínguez
%A Fernández Nieto, Enrique D.
%T An entropy-correction free solver for non-homogeneous shallow water equations
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2003
%P 755-772
%V 37
%N 5
%I EDP-Sciences
%U https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003043/
%R 10.1051/m2an:2003043
%G en
%F 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 , Tome 37 (2003) no. 5, pp. 755-772. doi : 10.1051/m2an:2003043. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003043/

Cité par Sources :