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Analysis of the accuracy of shock-capturing in the steady quasi-1D Euler equations

Abstract:

Insight into the accuracy of steady shock-capturing CFD methods is obtained through analysis of a simple problem involving steady transonic flow in a quasi-1D diverging duct. It is proved that the discrete solution error on either side of the shock is $O(h^{n})$ where $n$ is the order of accuracy of the conservative finite volume discretisation. Furthermore, it is shown that provided that $n \ge 2$ then the error in approximating $\int p dx$ is $O(h^{2})$. This result is in contrast to the ge...

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Publication date:
1995-02-05
URN:
uuid:fe8daa03-348f-40e7-9f22-4091c2595c9b
Local pid:
oai:eprints.maths.ox.ac.uk:1343

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