The convergence order of weno schemes behind a shock front
- 36 Downloads
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
Unable to display preview. Download preview PDF.
- 4.B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasilinear Equations and their Applications to Gas Dynamics (Nauka, Moscow, 1978; Amer. Math. Soc., Providence, 1983).Google Scholar
- 7.C.-W. Shu, “Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservations laws,” ICASE Report No. 97–65 (1997).Google Scholar