A high-resolution, hybrid compact-WENO scheme with minimized dispersion and controllable dissipation

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• 作者：ZhenSheng Sun (1)
  Yu Hu (1)
  Lei Luo (1)
  ShiYing Zhang (1)
  ZhengWei Yang (1)
  
• 关键词：binaries ; high ; resolution schemes ; shock ; capturing schemes ; nonlinear spectral analysis ; spectral optimization
• 刊名：SCIENCE CHINA Physics, Mechanics & Astronomy
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：57
• 期：5
• 页码：971-982
• 全文大小：
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• 作者单位：ZhenSheng Sun (1)
  Yu Hu (1)
  Lei Luo (1)
  ShiYing Zhang (1)
  ZhengWei Yang (1)
  
  1. Xi鈥檃n Research Institute of High-tech, Xi鈥檃n, 710025, China
  
• ISSN：1869-1927

文摘

In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family of tri-diagonal compact schemes to have independent dispersion and dissipation is derived. Then, a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed. Finally, the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme. Moreover, the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme. Several test cases are carried out to verify the high-resolution as well as the robust shock-capturing capabilities of the proposed scheme.