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Design optimization of unsteady airfoils with continuous adjoint method

Applied Mathematics and Mechanics(English Edition) 2015年第10期36卷 1329-1336页

作者： Liang FANG Xiaowei LI Shanghai Institute of Applied Mathematics and Mechanics Shanghai University

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： airfoil optimization continuous adjoint method unsteady flow

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Aerodynamic design optimization by using a continuous adjoint method

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Science China(Physics,Mechanics & Astronomy) 2014年第7期57卷 1363-1375页

作者： LUO JiaQi XIONG JunTao LIU Feng College of Engineering Peking University Department of Mechanical and Aerospace Engineering University of California

This paper presents the fundamentals of a continuous adjoint method and the applications of this method to the aerodynamic design optimization of both external and internal *** formulation of the continuous adjoint equations and the corresponding boundary conditions are *** the adjoint method,the complete gradient information needed in the design optimization can be obtained by solving the governing flow equations and the corresponding adjoint equations only once for each cost function,regardless of the number of design *** inverse design of airfoil is firstly performed to study the accuracy of the adjoint gradient and the effectiveness of the adjoint method as an inverse design *** the method is used to perform a series of single and multiple point design optimization problems involving the drag reduction of airfoil,wing,and wing-body configuration,and the aerodynamic performance improvement of turbine and compressor blade *** results demonstrate that the continuous adjoint method can efficiently and significantly improve the aerodynamic performance of the design in a shape optimization problem.

关键词： continuous adjoint method aerodynamic design optimization transonic flow computational fluid dynamics aerospace engineering

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