A new approach to solving boundary conditions in shallow water equations using a Riemann solver

Proceedings of the International Conference on Fluvial Hydraulics - River Flow 2006

Volumn 2, Issue , 2006, Pages 1443-1452

  Medina Iglesias, V C ^a   Bateman Pinzon, A ^a   Velasco Montes, D ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ENTIRE DOMAIN; GODUNOV METHOD; METHOD OF CHARACTERISTICS; NEW APPROACHES; RIEMANN PROBLEM; RIEMANN SOLVER; SHALLOW WATER EQUATIONS;

HYDRAULICS; STREAM FLOW;

BOUNDARY CONDITIONS;

EID: 35748984192     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. Bateman A. 1993. Formación y propagación de frentes de onda en canales. Estudio teórico numérico y experimental. PhD thesis, UPC
2. Godunov S. K. 1959. A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics, Mat. Sb., 47, pp. 271-306.
3. Kruzkov S. N. 1970. First order quasilinear equations in several independent variables, Math. USSR Sb., 10, pp. 217-243.
4. Lax P. D. 1972. Hyperbolic systems of conservation laws and the mathematical theory of shock waves, SIAM Regional Conference Series in Applied Mathematics 11.
5. Lax P. D. and Wendroff D. 1960. Systems of conservation laws, Comm. Pure Appl. Maths. (13) pp. 217-237.
6. LeVeque, R. J. 2002. Finite Volume Methods for Hyperbolic Problems, Cambridge University Press.
7. Oleinik O. 1957. Discontinuous solutions of nonlinear differential equations, Amer. Math. Soc. Transl. Ser. 2, 26, pp. 95-172.
8. Stoker, J. J. 1957. Water waves: The mathematical theory with applications, Pure and Applied Mathematics, Vol. IV, Interscience Publishers, Inc., New York, 1957.