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Paper: Numerical Dissipation and Wrong Propagation Speed of Discontinuities For Stiff Source Terms
Volume: 459, 6th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2011)
Page: 359
Authors: Yee, H. C.; Kotov, D. V.; Sjögreen, B.
Abstract: In compressible turbulent combustion/nonequilibrium flows, the constructions of numerical schemes for (a) stable and accurate simulation of turbulence with strong shocks, and (b) obtaining correct propagation speed of discontinuities for stiff reacting terms on “coarse grids” share one important ingredient — minimization of numerical dissipation while maintaining numerical stability. This dual requirement to achieve both numerical stability and accuracy with zero or minimal use of numerical dissipation is most often conflicting for existing schemes that were designed for non-reacting flows. The goal of this paper is to relate numerical dissipations that are inherited in a selected set of high order shock-capturing schemes with the onset of wrong propagation speed of discontinuities for two representative stiff detonation wave problems.
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