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基于非结构网格离散型伴随方法的翼型优化

高宜胜 伍贻兆 夏健

空气动力学学报2013,Vol.31Issue(2):244-249,265,7.
空气动力学学报2013,Vol.31Issue(2):244-249,265,7.

基于非结构网格离散型伴随方法的翼型优化

A discrete adjoint-based approach for airfoil optimization on unstructured meshes

高宜胜 1伍贻兆 1夏健1

作者信息

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摘要

Abstract

A technique for developing and implementing discrete adjoint methods for airfoil aerodynamic optimization problems on unstructured meshes is presented. Two issues in previous discrete adjoint methods are discussed; the total computational cost is still dependent on the number of design variables in previous discrete adjoint formulation based on flow adjoint equations; and the lengthy and error-prone implementation is usually required to develop adjoint codes. For the first question, the adjoint of the object function is constructed by linearizing each procedure of the entire optimization problem and transposing the total linearization so the computational time required to evaluate the gradient is independent of the number of design variables. For the second question, an automatic differentiation tool is applied selectively to the development of the adjoint code so that a "black-box" application of automatic differentiation tool is avoided and the complexity involved in the development and implementation of discrete adjoint methods is reduced. The inverse design and the constrained optimization results demonstrate the efficiency of the present approach.

关键词

非结构网格/离散型伴随方法/气动力优化/自动微分/反设计

Key words

unstructured meshes/ discrete adjoint method/ aerodynamic optimization/ automatic differentiation/ inverse design

分类

航空航天

引用本文复制引用

高宜胜,伍贻兆,夏健..基于非结构网格离散型伴随方法的翼型优化[J].空气动力学学报,2013,31(2):244-249,265,7.

空气动力学学报

OA北大核心CSCDCSTPCD

0258-1825

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