Comparisons of High Order Hybrid Schemes Using a Parameter-free Discontinuity Detector
نویسندگان
چکیده
In order to simulate accurately the interaction of shock wave/complex flows, hybrid schemes combining the compact scheme and weighted essentially non-oscillatory(WENO) scheme are beneficial, especially the high order low diffusion schemes used in smooth regions. There are two key issues, one is how to detect the discontinuity, the other is how to choose the high order low diffusion scheme to ensure the accuracy, robustness and efficiency. In this paper, several high order schemes are combined with the fifth order WENO scheme by using the discontinuity detector proposed by Shen and Zha(Y. Shen, G.Zha, J. Compu. Phys., 2011, 230:4419-4436) and compared numerically.
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