Numerical Determination of Minimum Drag Profile in STOKES Flow

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  • ストークス流中における最小抗力物体形状の数値的決定　　二次元有限領域で断面積一定の場合
  • 二次元有限領域で断面積一定の場合

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Numerical determination of the minimum drag profile in the STOKES flow was attempted in accordance with PIRONNEAU's algorithm. Finite element method was used in the numerical calculation for solving the flow field because it was easy to change the body shape. It is the purpose that the minimum drag profile in the two-dimensional finite region is numerically obtained by calculating the minimum energy-dissipationrate profile. If the operation of changing the body shape was begun from the circle as the initial body shape and the iteration was continued, a series of the body shapes that satisfied the PIRONNEAU's necessary condition was obtained. In the process of changing the body shape, the energy dissipation rate, the norm distribution, the pressure distribution along the body surface, the flow field around the body and the drag were calculated.

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