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- W2131266849 abstract "Shock-capturing finitevolumeschemesoftengiverisetoanomalousresultsinhypersonic flow.Wepresentawideranging survey of numerical experiments from 12 different flux functions in one- and two-dimensional contexts. Included is a recently developed function that satisfies the second law of thermodynamics. It is found here that there are at least two kinds of shock instabilities: one is one-dimensional and the other is multidimensional. According to the results, the former does not appear if a flux function satisfies the second law of thermodynamics, and the latter is suppressed by an additional dissipation with a multidimensional character. However, such dissipation has no effect on the one-dimensional mode. Among the flux functions investigated, no universally stable schemes are found that arefreefrombothone-andmultidimensionalshockinstabilities.Theappearanceoftheseinstabilitiesdependsonthe relative positioning of the shock on the grid." @default.
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- W2131266849 date "2009-01-01" @default.
- W2131266849 modified "2023-09-30" @default.
- W2131266849 title "Evaluation of Euler Fluxes for Hypersonic Flow Computations" @default.
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- W2131266849 doi "https://doi.org/10.2514/1.33735" @default.
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