Summary
First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. We use matched asymptotic expansions to analyze the phenomenon for one dimensional time dependent hyperbolic systems and show how to design the artificial viscosity term in order to avoid the first order error. Numerical computations verify that second order accurate solutions are obtained.
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© 2003 Springer-Verlag Berlin Heidelberg
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Siklosi, M., Kreiss, G. (2003). Elimination of First Order Errors in Time Dependent Shock Calculations. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_111
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DOI: https://doi.org/10.1007/978-3-642-55856-6_111
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62480-3
Online ISBN: 978-3-642-55856-6
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