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Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects. (English) Zbl 0926.76079
We propose a new approach to a flux solver, which takes into account source terms, viscous terms, and multidimensional effects. The basic idea is to distribute the source terms, which also contain the viscous terms and multidimensional effects, from the cells to the cell interfaces. Then the fluxes on both sides of a cell interface are determined by the Rankine-Hugoniot conditions and a linearized Riemann solver. The resulting Rankine-Hugoniot-Riemann solver yields much more accurate results than conventional Riemann solvers for steady premixed laminar flames in one- and two-dimensional and in steady two-dimensional channel flows with injection. $$\copyright$$ Academic Press.

##### MSC:
 76M20 Finite difference methods applied to problems in fluid mechanics 76L05 Shock waves and blast waves in fluid mechanics 76N15 Gas dynamics, general 76V05 Reaction effects in flows
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