Volume 36 Issue 1
Jan.  2010
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Yu Jian, Yan Chao. On the performance of two shock-capturing schemes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(1): 10-13. (in Chinese)
Citation: Yu Jian, Yan Chao. On the performance of two shock-capturing schemes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(1): 10-13. (in Chinese)

On the performance of two shock-capturing schemes

  • Received Date: 30 Dec 2008
  • Publish Date: 31 Jan 2010
  • Two shock-capturing schemes were considered: characteristic-based MUSCL (monotone upstream-centred schemes for conservation laws) scheme and WENO (weighted essentially non-oscillatory) scheme. Local linearization was employed when performing characteristic transformation, and limiters were applied according to the characteristics of waves; A dimension by dimension reconstruction was used to obtain truly accurate finite volume WENO scheme. Numerical experiments were carried out on one-, two- and three-dimensional Euler systems. The results show with one- and two-dimensional examples that characteristic-based MUSCL scheme performs better on capturing contact discontinuities, and shows little difference from WENO scheme on shocks. For three-dimensional problems, a finer resolution of complex flow feature can be obtained by WENO scheme. Explanations as well as possible improvements are given.

     

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