References
- [1]
-
H. Capart and D.L. Young.
Formation of a jump by the dam-break wave over a granular bed.
J. Fluid Mech., 372:165-187, 1998.
- [2]
-
T. Buffard, T. Gallouet, and J.-M. Hérard.
Un schéma simple pour les équations de Saint-Venant.
C. R. Acad. Sci. Paris, t. 324, Série I:385-390, 1998.
- [3]
-
J.M. Townson.
Free-surface hydraulics.
Unwin Hyman, 1991.
- [4]
-
S.S. Voit.
Tsunamis.
Annu. Rev. Fluid Mech., 19:217-236, 1987.
- [5]
-
J. Smoller.
Shock waves and reaction diffusion equations.
Springer, 1983.
- [6]
-
P.D. Lax.
Hyperbolic systems of conservation laws and the mathematical
theory of shock waves.
CBMS Monographs. SIAM, Philadelphia, 1973.
- [7]
-
C.G. Hirsch.
Numerical computation of internal and external flows.
J. Wiley, 1990.
- [8]
-
S. Godunov, A. Zabrodine, M. Ivanov, A. Kraiko, and G. Prokopov.
Résolution numérique des problèmes multidimensionnels de
la dynamique des gaz.
Editions MIR, Moscou, 1979.
- [9]
-
P.L. Roe.
Approximate Riemann solvers, parameter vectors, and difference
schemes.
J. Comput. Phys., 43:357-372, 1981.
- [10]
-
P. Glaister.
A weak formulation of Roe's approximate Riemann solver applied to
the St. Venant equations.
J. Comput. Phys., 116:189-191, 1995.
- [11]
-
L. Combe and J.-M. Hérard.
Un schéma volumes finis pour la simulation d'un modèle bi-fluide
d'écoulements diphasiques compressibles gaz-solide.
Revue Européenne des Eléments finis, 5(2):197-231, 1997.
- [12]
-
G. Brun, J.-M. Hérard, D. Jeandel, and M. Uhlmann.
An approximate Riemann solver for second-moment closures.
J. Comput. Phys., 151(2):990-996, 1999.
- [13]
-
G.B. Whitham.
Linear and nonlinear waves.
Wiley, 1974.
- [14]
-
P. Garcia-Navarro, M.E. Hubbard, and A. Priestley.
Genuinely multidimensional upwinding for the 2d shallow water
equations.
J. Comput. Phys., 121:79-93, 1995.
- [15]
-
A. Bermudez and M.E. Vazquez.
Upwind methods for hyperbolic conservation laws with source terms.
Computers & Fluids, 23(8):1049-1071, 1994.
- [16]
-
J.M. Greenberg and A.Y. Leroux.
A well-balanced scheme for the numerical processing of source terms
in hyperbolic equations.
SIAM J. Num. Anal., 33(1):1-16, 1996.
markus.uhlmann AT ciemat.es