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Restoration of the contact surface in the HLL-Riemann solver. (English) Zbl 0811.76053
The missing contact surface in the approximate Riemann solver of Harten, Lax and van Leer is restored. This is achieved following the same principles as in the original solver. We also present new ways of obtaining wave-speed estimates. The improved Riemann solver is implemented in the second-order WAF method and tested for one-dimensional problems with exact solutions and for a two-dimensional problem with experimental results.

76M20 Finite difference methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
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