Riemann Problems and the WAF Method for the Two-Dimensional Shallow Water Equations

Riemann Problems and the WAF Method for the Two-Dimensional Shallow Water Equations

Toro, E.F.

Cranfield Institute of Technology, College of Aeronautics, Department of Aerodynamics

1990-04-30

An exact Riemann solver for the shallow water equations along with several approximate Riemann solvers are presented. These solutions are used locally to compute numerically the global solution of the general initial boundary value problem for the shallow water equations. The numerical method used is the weighted average flux method (WAF) proposed by the author in Ref. 3. This is a conservative, shock capturing high resolution method. For shallow water flows where non-linear effects are important or where abrupt changes (hydraulic Jumps) are to be expected the present algorithms can be useful in practice. Starting in 1946 as the College of Aeronautics, the Cranfield Institute of Technology was granted university status in 1969. In 1993 it changed its name to Cranfield University.

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Cranfield Institute of Technology

College of Aeronautics Report 9005

Aerospace Engineering Reports

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(c) 1990 Cranfield Institute of Technology