Numerical Simulation of Three-Dimensional Viscous Flows Using the Vector Potential Method

• SHIMADA M.

  Department of Mechanical and System Engineering, Kyoto Institute of Technology

• TOKUNAGA Hiroshi

  Department of Mechanical and System Engineering, Kyoto Institute of Technology

• SATOFUKA Nobuyuki

  Department of Mechanical and System Engineering, Kyoto Institute of Technology

• NISHIDA Hidetoshi

  Department of Mechanical and System Engineering, Kyoto Institute of Technology

抄録

A method for solving three-dimensional viscous incompressible flows is presented. A complete set of the Navier-Stokes equation is transferred and expressed in terms of the vorticity, the scalar and the vector potential. In this formulation, the velocity field satsfies the equation of continuity automatically. The vorticity transport equations discretized by the centered differences are solved by the rational Runge-Kutta (RRK) time integration scheme, and the Poisson equations are solved by the successive over-relaxatation (SOR) method. The numerical solutions of flows in a cubic cavity, in a square duct and in a rectangular duct with the aspect ratio of 2 are presented. Comparison of computed results with other calculations confirms the accuracy and reliability of the present approach.

収録刊行物

• JSME Int. J.

  JSME Int. J. 34 109-114, 1991

  一般社団法人日本機械学会

キーワード

• Computational Fluid Dynamics
• Finite Difference Method
• Three-Dimensional Flow
• Internal Flow
• Duct Flow
• Secondary Flow

詳細情報

• CRID: 1570009752246862208
• NII論文ID: 110002493352
• NII書誌ID: AA10888815
• ISSN: 09148817
• 本文言語コード: en
• データソース種別:
  • CiNii Articles