Elimination of First Order Errors in Shock Calculations

Authors:
Gunilla Kreiss;Gunilla Efraimsson;Jan Nordström
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 2

A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II: Systems of Equations

Journal of Scientific Computing
An investigation of the internal structure of shock profiles for shock capturing schemes

Journal of Computational and Applied Mathematics

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Abstract

First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. Based on a matched asymptotic expansion analysis we show how to modify the artificial viscosity and raise the order of accuracy.