Resolution of high order WENO schemes for complicated flow structures

  • Authors:

  • Jing Shi;Yong-Tao Zhang;Chi-Wang Shu

  • Affiliations:

  • Department of Mathematics, University of Texas at Austin, Austin, TX;Division of Applied Mathematics, Brown University, 182 George Street Box F, Providence, RI;Division of Applied Mathematics, Brown University, 182 George Street Box F, Providence, RI

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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Abstract

In this short note we address the issue of numerical resolution and efficiency of high order weighted essentially nonoscillatory (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.