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

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Design optimization of unsteady airfoils with continuous adjoint method

Liang FANG, Xiaowei LI   

  1. 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)

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

2010 MSC Number: 

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