Abstract
Lower order errors downstream of a shock layer have been detected in computations with non-constant solutions when using higher order shock capturing schemes in one and two dimensions, [3]. We analyze the steady state solution of slightly viscous hyperbolic systems of conservation laws using matched asymptotic expansions. The result explains why O(h)-errors can appear in smooth regions downstream of a shock layer. The numerical solution of quasi one-dimensional nozzle flow illustrate the analysis.
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Efraimsson, G., Kreiss, G. (1999). Numerical Errors Downstream of Slightly Viscous Shocks. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_29
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DOI: https://doi.org/10.1007/978-3-0348-8720-5_29
Publisher Name: Birkhäuser, Basel
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