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• W2005754014 abstract "We examine numerically the issue of convergence for initial-value solutions and similarity solutions of the compressible Euler equations in two dimensions in the presence of vortex sheets (slip lines). We consider the problem of a normal shock wave impacting an inclined density discontinuity in the presence of a solid boundary. Two solution techniques are examined: the first solves the Euler equations by a Godunov method as an initial-value problem and the second as a boundary value problem, after invoking self-similarity. Our results indicate nonconvergence of the initial-value calculation at fixed time, with increasing spatial-temporal resolution. The similarity solution appears to converge to the weak ‘zero-temperature’ solution of the Euler equations in the presence of the slip line. Some speculations on the geometric character of solutions of the initial-value problem are presented." @default.
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• W2005754014 date "1996-10-01" @default.
• W2005754014 modified "2023-09-23" @default.
• W2005754014 title "On initial-value and self-similar solutions of the compressible Euler equations" @default.
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• W2005754014 doi "https://doi.org/10.1063/1.869050" @default.
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