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1報) : 2次元物体の粘性抵抗の最小化

概要

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A new method is developed for obtaining an optimum body profile with minimum drag in two-dimensional viscous incompressible flows. The method consists of a combination of a numerical Navier-Stokes solver, an application of nonlinear mathematical programming technique, and a grid generation / deformation method. The pressure and friction drag components of a steadily advancing body of arbitrary configuration are evaluated from the finite - difference solution of the Navier - Stokes equations. The third - order accurate upwind differencing is used for the nonlinear terms and the time is advanced by the implicit Euler method to obtain a steady solution. Body profile is represented by a series of polynomials including determinate variables as coefficients. The feasible direction algorithm is applied for the nonlinear constrained optimization problem. Numerical tests are conducted to demonstrate the validity of this method.
社団法人日本船舶海洋工学会の論文
1990-09-25