Resolution of high order WENO schemes for complicated flow structures.

*(English)*Zbl 1047.76081Summary: In this short note we address the issue of numerical resolution and efficiency of high order weighted essentially non-oscillatory (WENO) schemes for computing solutions containing both discontinuities and complex solution features, through two representative numerical examples: the double Mach reflection problem and the Rayleigh–Taylor instability problem. We conclude that for such solutions with both discontinuities and complex solution features, it is more economical in CPU time to use higher order WENO schemes to obtain comparable numerical resolution.

##### MSC:

76M20 | Finite difference methods applied to problems in fluid mechanics |

76L05 | Shock waves and blast waves in fluid mechanics |

76E17 | Interfacial stability and instability in hydrodynamic stability |

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\textit{J. Shi} et al., J. Comput. Phys. 186, No. 2, 690--696 (2003; Zbl 1047.76081)

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##### References:

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