ナビエ・ストークス方程式の数値解を用いた非線形計画法による物体形状の最適化 (第3法) : 抵抗に対する感度係数の直接解法

概要

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The present paper proposes a method of obtaining sensitivity coefficients of the viscous resistance of a body in two-dimensional uniform flow due to a slight deformation of the body shape. The sensitivity coefficients for the unit change of the variables in the shape function are directly solved by using a deformed Navier-Stokes equation and a prescribed body-shape function. The authors apply the method to a viscous resistance optimiazation problem in two-dimensional viscous flow by using a gradient method in nonlinear programming. It is found that the present method of computing directly the gradient of the resistance works fairly well compared with the one which obtains the gradient using a finite difference of the resistances. The method is applicable further to optimization problems of other hydordynamic forces, and to three-dimensional case.
社団法人日本船舶海洋工学会の論文
1992-09-25