非圧縮性粘性流体‐剛体連成に対する中間変数を用いた圧力ベース解法の増分型定式化とその検証

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タイトル別名
  • Incremental Formulation of Pressure Based Method for Fluid-rigid Body Interaction Using Intermediate Variable and Its Verification
  • ヒアッシュクセイ ネンセイ リュウタイ ゴウタイ レンセイ ニ タイスル チュウカン ヘンスウ オ モチイタ アツリョク ベース カイホウ ノ ゾウブンガタ テイシキカ ト ソノ ケンショウ

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説明

In this paper, an incremental formulation of pressure based method for fluid-rigid body interaction using intermediate variable is presented. The present method is based on the method proposed by Matsumoto and Kawahara in previous studies. In their method, the pressure Poisson equation equivalent to the incompressibility constraint is derived by using the intermediate fluid velocity and the approximation of enough small error between the intermediate fluid velocity and the fluid velocity. In the present method, all terms appear in the coupled equation system are evaluated in the same time instant, and unknown variables are solved incrementally by iterative solution procedure in each time step so as to satisfy the coupled equation system defined in the time instant. The present formulation is required when structural nonlinearity such as large deformation should be considered. The present method is applied for the free vibration of a rigid circular cylinder in a quiescent fluid to verify its performance.

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