A Note on the Numerical Treatment of Navier-Stokes Equations. I

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概要

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• Two-dimensional steady flow of an incompressible fluid with constant viscosity is treated. A method to find a numerical solution of the flow around an arbitrary obstacle is presented. By an application of the theory of conformal mapping, the problem is reduced to a boundary value problem of partial differential equations on a rectangular domain. Then the difference analogue of the problem on the rectangular domain can be approximately solved on a digital computer. Some results of numerical calculations are reported for a number of cases where the obstacles are an ellipse and a Joukowski profile, the Reynolds numbers being 10, 50 and 100.

• 社団法人日本物理学会の論文
• 1973-05-05

著者

• Mizumoto Hisao

  Department Of Health Informatics Faculty Of Health And Welfare Services Administration Kawasaki Univ

• Mizumoto Hisao

  Department Of Mathematics University Of Illinois:(present Address) School Of Engineering Okayama Uni

関連論文

• A Numerical Method for Determining the Parameters of Schwarz-Christoffel Transformation
• A Note on the Numerical Treatment of Navier-Stokes Equations. I
• Maximum Principles for Finite Element Solutions on a Riemann Surface
• Determination of the Moduli of Ring Domains by Finite Element Methods

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