Exact solutions to the Riemann problem of the shallow water equations with a bottom step

Computers and Fluids

Volumn 30, Issue 6, 2001, Pages 643-671

  Alcrudo, Francisco ^a   Benkhaldoun, Fayssal ^b  

^a CSIC   (Spain)

^b UNIVERSITÉ ET INSA DE ROUEN   (France)

Author keywords

Riemann problems; Shallow water equations; Source terms; Systems of conservation laws

Indexed keywords

COMPUTER SIMULATION; HYDRAULIC JUMP; MATHEMATICAL MODELS; WATER; WATER WAVES;

SHALLOW WATER EQUATIONS;

FLUIDS;

HYDRAULIC JUMP; ONE-DIMENSIONAL FLOW; SHALLOW-WATER EQUATION; STEP (SURFACE STRUCTURE);

EID: 0035399783     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(01)00013-5     Document Type: Article

References (16)

1. A new insight on shallow water equations with source terms
2. Approximate Riemann solutions of the shallow water equations
3. A well balanced scheme for the numerical processing of source terms in hyperbolic equations
4. Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
5. A study of numerical methods for hyperbolic conservation laws with stiff source terms
6. Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
7. Numerical solution of the shallow water equations on a beach using the weighted average flux method