A study on the cell partition and trouble cell marking method of spectral volume method
Received:March 09, 2020  Revised:September 18, 2020
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DOI:10.7511/jslx20200309001
KeyWord:spectral volume method  unstructured grid  Chebyshev polynomial  Limiter  CFD
     
AuthorInstitution
柯耀祖 合肥工业大学 机械工程学院, 合肥
张兵 合肥工业大学 机械工程学院, 合肥
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Abstract:
      The spectral volume method is a high-precision CFD calculation method that essentially resolves the grid dependence.This paper is mainly focused on the spectral volume method of the two-dimensional compressible Euler equation.A new cell partition method is proposed based on the Chebyshev polynomial, and a WENO-based Variable limiter method is established to develop the trouble cells marking method combined with the spectral volume and control volume.Two typical numerical examples of 15° supersonic compression wedge and NACA0012 transonic flow are used to do the verification.The results indicate that the new partitioning method has better accuracy compared with existing methods, and the marking method can effectively identify discontinuous areas.Finally, the SV method with a coarse grid can achieve accurate results equivalent to the common finite volume method under fine grids.