渦システムによる造波グリーン関数を導入した定常揚力面の数値解析

概要

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In this paper, Green function considering wave generation caused by vortex system is proposed. The Green functions of an isolated point vortex for the various image systems present an appearance of different wave-making properties. However, composed Green function of vortex ring has uniqueness for the different image system. Accordingly, Green function with image system satisfying rigid wall conditions is applied to numerical analysis of steady lifting surface problems. Then, waves are created only by transverse component of vortex system but longitudinal one doesnt create wave system.The lift forces acting on hydrofoils, for example, some rectangular wings and delta wings are calculated considering the free surface effects by means of present method. Numerical results present the free surface effects remarkably for the rectangular wings rather than delta wings. And the effects appear strongly as aspect ratio increases. Present analysis method is practically useful because the ordinary computational program for the Green function of a point doublet with x-directional axis can be applied to the present case by slight modification.