On the Numerical Approach to Two Dimensional Problem of Steady and Unsteady Planing Surface

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  • 2次元動揺滑走板問題の数値解法について
  • 2ジゲン ドウヨウ カッソウバン モンダイ ノ スウチカイホウ ニ ツイテ

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Abstract

In the present paper the two-dimensional steady and unsteady problem of a hydro-planing are studied based on the linear water-wave theory. Although the usual numerical procedure is due to the boundary integral method using unknown pressure distribution on the body surface, the directmethod of the boundary element method is introduced here. The bydrodynamic problem is solved in the time-domain, where the Kutta condition at the trailing edge of a flat plate is taken into account. The wave field generated by an oscillating flat plate with a forward speed can be simulated in a wide range for a speed and an oscillating frequency by using the present method. The computed lift coefficients of a flat plate in a steady run show good results with another prediction method. The simulated wave amplitude in the unsteady wave field show the good agreements with the experimental ones. Moreover, the heave added mass and damping coefficients are computed, including the influence of the gravity. These results tend to the prediction based on the existing theory in case of the high Froude nimber, where the gravity is neglected approximately.

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