SUPG finite element method based on penalty function for lid-driven cavity flow up to \(Re =

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• 作者：Da-Guo Wang ; Qing-Xiang Shui
• 关键词：Streamline upwind/Petrov–Galerkin (SUPG) finite element method ; Lid ; driven cavity flow ; Penalty function method ; High Reynolds number
• 刊名：Acta Mechanica Solida Sinica
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：32
• 期：1
• 页码：54-63
• 全文大小：1,348 KB
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• 作者单位：Da-Guo Wang (1)
  Qing-Xiang Shui (1)
  
  1. School of Environment and Resources, Southwest University of Science and Technology, Mianyang, 621010, China
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Engineering Fluid Dynamics
  Numerical and Computational Methods in Engineering
  Chinese Library of Science
  
• 出版者：The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of
• ISSN：1614-3116

文摘

A streamline upwind/Petrov–Galerkin (SUPG) finite element method based on a penalty function is proposed for steady incompressible Navier–Stokes equations. The SUPG stabilization technique is employed for the formulation of momentum equations. Using the penalty function method, the continuity equation is simplified and the pressure of the momentum equations is eliminated. The lid-driven cavity flow problem is solved using the present model. It is shown that steady flow simulations are computable up to \(Re = 27500\), and the present results agree well with previous solutions. Tabulated results for the properties of the primary vortex are also provided for benchmarking purposes.