Investigation of compact interpolation based on HWCNS schemes
Received:January 20, 2014  Revised:May 10, 2014
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DOI:10.7511/jslx201503015
KeyWord:HWCNS  compact scheme  non-linear interpolation  compressible flows  high resolution
              
AuthorInstitution
马燕凯 中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳
刘化勇 中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳
燕振国 中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳
毛枚良 中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳
邓小刚 中国空气动力研究与发展中心 空气动力学国家重点实验室, 绵阳
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Abstract:
      Finite difference methods are always advancing to obtain higher spectral resolution with robust discontinuities-capturing capabilities.Following HWCNS formation,a new high-order nonlinear compact interpolation is proposed,then the seventh-order compact HWCNS scheme is developed and its spectrum feature is presented.Several typical cases are carried to verify the performance of the new method in this paper.In terms of computational efficiency and accuracy of the numerical results,the present compact interpolation is superior to the explicit fifth-order HWCNS and seventh-order WENO schemes for simulation of flows characterized by multiple scales and long-term evolution include discontinuities,which is in accordance with the result of spectrum analysis.