The convergence order of weno schemes behind a shock front
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Numerical analysis has shown that high order finite-volume WENO schemes have only the first order of convergence in the smooth part of a weak solution behind a shock front. The order of integral convergence of the difference solution is found to estimate the accuracy of the translation of the Rankine-Hugoniot conditions through the shock front.
Keywordsfinite-volume WENO schemes Rankine-Hugoniot conditions integral convergence order of convergence
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