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A gas-kinetic theory based multidimensional high-order method for the compressible Navier–Stokes solutions

         

摘要

This paper presents a gas-kinetic theory based multidimensional high-order method for the compressible Naiver–Stokes solutions. In our previous study, a spatially and temporally dependent third-order flux scheme with the use of a third-order gas distribution function is employed. However, the third-order flux scheme is quite complicated and less robust than the second-order scheme. In order to reduce its complexity and improve its robustness, the second-order flux scheme is adopted instead in this paper, while the temporal order of method is maintained by using a two stage temporal discretization. In addition, its CPU cost is relatively lower than the previous scheme. Several test cases in two and three dimensions, containing high Mach number com-pressible flows and low speed high Reynolds number laminar flows, are presented to demonstrate the method capacity.

著录项

  • 来源
    《力学学报:英文版》 |2017年第004期|733-741|共9页
  • 作者

    Xiaodong Ren; Kun Xu; Wei Shyy;

  • 作者单位

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China;

    Department of Mathematics, School of Science, The Hong Kong University of Science and Technology, Hong Kong, China;

    Department of Mechanical and Aerospace Engineering, School of Engineering, The Hong Kong University of Science and Technology, Hong Kong, China;

    Department of Mechanical and Aerospace Engineering, School of Engineering, The Hong Kong University of Science and Technology, Hong Kong, China;

  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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