Natural laminar flow shape optimization in transonic regime with competitive Nash game strategy

Affiliation of Author(s):航空学院

Journal:APPLIED MATHEMATICAL MODELLING

Key Words:Multi-level parallel computing Nash evolutionary algorithms Natural laminar flow airfoil Active shock control bump Multi-objective optimization

Abstract:The Natural Laminar Flow (NLF) airfoil/wing design optimization is an efficient method which can reduce significantly turbulence skin friction by delaying transition location at high Reynolds numbers. However, the reduction of the friction drag is competitively balanced with the increase of shock wave induced drag in transonic regime. In this paper, a distributed Nash Evolutionary Algorithms (EAs) is presented and extended to multi-level parallel computing, namely multi-level parallel Nash EAs. The proposed improved methodology is used to solve NLF airfoil shape design optimization problem. It turns out that the optimization method developed in this paper can easily capture a Nash Equilibrium (NE) between transition delaying and wave drag increasing. Results of numerical experiments demonstrate that both wave drag and friction drag performances of a NE are greatly improved. Moreover, performance of the NE is equivalent to that of cooperative Paretooptimum solutions, but it is more efficient in terms of CPU time. The successful application validates efficiency of algorithms in solving complex aerodynamic optimization problem. (C) 2017 Elsevier Inc. All rights reserved.

ISSN No.:0307-904X

Translation or Not:no

Date of Publication:2017-08-01

Co-author:Chen, Yongbin,Zhang, Lianhe

Correspondence Author:Tang Zhili

Date of Publication:2017-08-01