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Numerical schemes with high order of accuracy for the computation of shock waves

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Abstract

High order accurate scheme is highly desirable for flow computation with shocks. After analysis has been made for the reason of the generation of non-physical oscillations around the shock in numerical computations, a third-order, upwind biased, shock capturing scheme was proposed. Also, a new shock fitting method, called pseudo shock fitting method, was suggested, which in principle can be with any order of accuracy. Test cases for one dimensional flows show that the new method is very satisfactory.

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, 300072, Tianjin, P R China

    Yuan Xiangjiang Associate Professor & Zhou Heng

  2. Research and Development Center of Aerodynamics of China, 621000, Mianyang, P R China

    Yuan Xiangjiang Associate Professor

Authors
  1. Yuan Xiangjiang Associate Professor
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  2. Zhou Heng
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Additional information

Foundation item: the National Climbing Project

Biography: Yuan Xiangjing (1962-)

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Xiangjiang, Y., Heng, Z. Numerical schemes with high order of accuracy for the computation of shock waves. Appl Math Mech 21, 489–500 (2000). https://doi.org/10.1007/BF02459029

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  • DOI: https://doi.org/10.1007/BF02459029

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