Asymptotically balanced schemes for non-homogeneous hyperbolic systems - Application to the Shallow Water equations;Schémas asymptotiquement equilibrés pour systèmes hyperboliques non-homogénes - Application aux équations de Saint-Venant

Comptes Rendus Mathematique

Volumn 338, Issue 1, 2004, Pages 85-90

  Chacón Rebollo, Tomás ^a   Domínguez Delgado, Antonio ^a   Fernández Nieto, Enrique D ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742271953     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.11.008     Document Type: Article

References (8)

1. Bermúdez A. Vázquez Cendón M.E. Upwind methods for hyperbolic conservation laws with source terms Comput. & Fluids 23 8 1994 1049-1071
2. Chacón T. Domínguez A. Fernández-Nieto E.D. A family of stable numerical solvers for the shallow water equations with source terms Comput. Methods Appl. Mech. Engrg. 192 2003 203-225
3. Chacón T. Fernández-Nieto E.D. Gómez M. A flux-splitting solver for shallow water equations with source terms Int. J. Numer. Methods Fluids 43 2003 23-55
4. Fernández-Nieto, E.D. Aproximación numérica de leyes de conservación hiperbólicas no homogéneas. Aplicación a las ecuaciones de Aguas Someras, Ph.D. Thesis Universidad de Sevilla, 2003
5. Greenberg J.M. Leroux A.Y. A well-balanced scheme for the numerical processing of source terms in hyperbolic equations SIAM J. Numer. Anal. 33 1 1996 1-16
6. Jin S. A steady-state capturing method for hyperbolic systems with geometrical source terms Math. Modelling Numer. Anal. 35 4 2001 631-645
7. Perthame B. Simeoni C. Convergence of the Upwind Interface Source method for hyperbolic conservation laws in: Hou T. Tadmor E. (Eds.), Proceeding of Hyp 2002 2003 Springer
8. Zhou J.G. Causon D.M. Mingham C.G. Ingram D.M. The surface gradient method for the treatment of source terms in the Shallow-Water equations J. Comput. Phys. 168 2001 1-25