Numerical solutions of the shallow water equations with discontinuous bed topography

International Journal for Numerical Methods in Fluids

Volumn 38, Issue 8, 2002, Pages 769-788

  Zhou, J G ^a   Causon, D M ^a   Ingram, D M ^a   Mingham, C G ^a  

^a MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

Bed discontinuity; Data reconstruction; Godunov method; High resolution method; Shallow water equations; Surface gradient method

Indexed keywords

FLOW OF FLUIDS; GRADIENT METHODS; NUMERICAL METHODS; SURFACE TOPOGRAPHY;

CELL INTERFACES;

FLUIDS;

BED VARIATION; SHALLOW-WATER EQUATION; STEP (SURFACE STRUCTURE);

EID: 0037139448     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.243     Document Type: Article

References (14)

1. Upwind methods for hyperbolic conservation laws with source terms
2. Improved treatment of source terms in upwind schemes for shallow water equations in channels with irregular geometry
3. Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
4. Flux difference splitting and the balancing of source terms and flux gradients
5. Numerical simulation of wave overtopping of coastal structures using the non-linear shallow water equations
6. The surface gradient method for the treatment of source terms in the shallow water equations
7. On the relation between the upwind-differencing schemes of Godunov. Enguist-Osher and Roe
8. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
9. Riemann problems and the WAF method for solving two-dimensional shallow water equations
10. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems