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CIP Solution Method of Navier-Stokes Equation for Three-Dimensional, Generalized Curvilinear Coordinate System.

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  • 三次元一般曲線座標系に対するCIP法粘性流解法
  • 3ジゲン イッパン キョクセン ザヒョウケイ ニ タイスル CIPホウ ネンセイリュウカイホウ

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Abstract

To precisely solve the Navier-Stokes equation for arbitrary and complicated boundary geometries, a CIP (Cubic Interpolated Pseudo-particle) solution method adapted to three-dimensional, generalized curvilinear coordinate systems is presented. The governing equations are implemented in a transformed space only with the contravariant velocity components, and discretized with a staggered variable arrangement. By applying the method for solving the flows in a three-dimensional cavity space, around a circular cylinder started suddenly and in 180° curved pipe, its computational accuracy is confirmed comparing with the numerial results using a pseudo spectral method, measured length of a twin vortex, measured velocity distributions and calculated results using the QUICK scheme, respectively.

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