Design optimization of unsteady airfoils with continuous adjoint method

doi:10.1007/s10483-015-2010-9

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (10): 1329-1336.doi: https://doi.org/10.1007/s10483-015-2010-9

Design optimization of unsteady airfoils with continuous adjoint method

Liang FANG, Xiaowei LI

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2015-02-20 修回日期:2015-05-15 出版日期:2015-10-01 发布日期:2015-10-01
通讯作者: Xiaowei LI E-mail:xwli@staff.shu.edu.cn
基金资助:
Project supported by the Shanghai Municipal Natural Science Foundation (No. 13ZR1415700)

Design optimization of unsteady airfoils with continuous adjoint method

Liang FANG, Xiaowei LI

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2015-02-20 Revised:2015-05-15 Online:2015-10-01 Published:2015-10-01
Contact: Xiaowei LI E-mail:xwli@staff.shu.edu.cn
Supported by:
Project supported by the Shanghai Municipal Natural Science Foundation (No. 13ZR1415700)

摘要/Abstract

摘要： In this paper, a new unsteady aerodynamic design method is presented based on the Navier-Stokes equations and a continuous adjoint approach. A basic framework of time-accurate unsteady airfoil optimization which adopts time-averaged aerodynamic coefficients as objective functions is presented. The time-accurate continuous adjoint equation and its boundary conditions are derived. The flow field and the adjoint equation are simulated numerically by the finite volume method (FVM). Feasibility and accuracy of the approach are perfectly validated by the design optimization results of the plunging NACA0012 airfoil.

关键词: unsteady flow, continuous adjoint method, airfoil optimization

Abstract: In this paper, a new unsteady aerodynamic design method is presented based on the Navier-Stokes equations and a continuous adjoint approach. A basic framework of time-accurate unsteady airfoil optimization which adopts time-averaged aerodynamic coefficients as objective functions is presented. The time-accurate continuous adjoint equation and its boundary conditions are derived. The flow field and the adjoint equation are simulated numerically by the finite volume method (FVM). Feasibility and accuracy of the approach are perfectly validated by the design optimization results of the plunging NACA0012 airfoil.

Key words: continuous adjoint method, unsteady flow, airfoil optimization

中图分类号:

O355

Liang FANG, Xiaowei LI. Design optimization of unsteady airfoils with continuous adjoint method[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1329-1336.

参考文献

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Design optimization of unsteady airfoils with continuous adjoint method

Design optimization of unsteady airfoils with continuous adjoint method

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