A Spalart–allmaras Turbulence Model Implementation for High-order Discontinuous Galerkin Solution of the Reynolds-averaged Navier-stokes Equations

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• 作者：Jiang ZhenHua ; Yan Chao ; Yu Jian ; Qu Feng ; Yuan Wu
• 关键词：Discontinuous Galerkin method ; SA turbulence model ; HWENO limiter ; Positivity preserving ; High order
• 刊名：Flow, Turbulence and Combustion
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：96
• 期：3
• 页码：623-638
• 全文大小：2,294 KB
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• 作者单位：Jiang ZhenHua (1)
  Yan Chao (1)
  Yu Jian (1)
  Qu Feng (1)
  Yuan Wu (2)
  
  1. College of Aeronautics Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China
  2. Computer Network Information Center, Chinese Academy of Sciences, Beijing, 100190, China
  
• 刊物类别：Engineering
• 刊物主题：Physics
  Mechanics
  Automotive Engineering
  
• 出版者：Springer Netherlands
• ISSN：1573-1987

文摘

A novel and robust approach has been proposed for the high-order discontinuous Galerkin (DG) discretization of the Reynolds-averaged Navier-Stokes (RANS) equations with the turbulence model of Spalart-Allmaras (SA). The solution polynomials of the SA equation are reconstructed by the Hermite weighted essentially non-oscillatory (HWENO) scheme. Several practical techniques are suggested to simplify and extend a positivity-preserving limiter to further guarantee the positivity of SA working variable. The resulting positivity-preserving HWENO limiting method is compact and easy to implement on arbitrary meshes. Typical turbulent flows are conducted to assess the accuracy and robustness of the present method. Numerical experiments demonstrate that with the increasing grid or order resolution, the limited results of the working variable are getting closer to the unlimited ones. And the most obvious improvement with proposed method is on the computation of the working variable field in wake regions.