Summary
The computation of inviscid and viscous one- and two-dimensional supersonic and hypersonic flows using explicit Runge-Kutta time-stepping schemes is investigated. The spatial discretization is based on a cell-vertex finite-volume scheme with central differencing and various time-stepping schemes. Two artificial dissipation models are discussed with respect to accuracy and convergence behaviour. These are the well-known dissipation model based on fourth and second differences of the flow variables and a flux-limited dissipation model with TVD properties. Furthermore, the application of a multigrid scheme for supersonic flows is discussed. It is shown that substantial CPU-time savings are obtained using multigrid for the computation of viscous high-speed flows.
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Kroll, N., Radespiel, R., Rossow, CC. (1990). Experiences with Explicit Time-Stepping Schemes for Supersonic Flow Fields. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_26
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DOI: https://doi.org/10.1007/978-3-663-13975-1_26
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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