Research Article

Multidisciplinary shape optimization in aerodynamics and electromagnetics using genetic algorithms

  1. Raino A.E. Mäkinen1,
  2. Jacques Periaux2,
  3. Jari Toivanen1,*

Article first published online: 26 MAY 1999

DOI: 10.1002/(SICI)1097-0363(19990530)30:2<149::AID-FLD829>3.0.CO;2-B

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Special Issue: ECCOMAS '96

Volume 30, Issue 2, pages 149–159, 30 May 1999

Additional Information

How to Cite

Mäkinen, R. A., Periaux, J. and Toivanen, J. (1999), Multidisciplinary shape optimization in aerodynamics and electromagnetics using genetic algorithms. International Journal for Numerical Methods in Fluids, 30: 149–159. doi: 10.1002/(SICI)1097-0363(19990530)30:2<149::AID-FLD829>3.0.CO;2-B

Author Information

  1. 1

    University of Jyväskylä, Department of Mathematics, P.O. Box 35, FIN-40351 Jyväskylä, Finland

  2. 2

    Dassault Aviation, Aerodynamics and Scientific Strategy, 78 Quai Marcel Dassault, 92214 St Cloud Cedex, France

*University of Jyväskylä, Department of Mathematics, P.O. Box 35, FIN-40351 Jyväskylä, Finland

Publication History

  1. Issue published online: 26 MAY 1999
  2. Article first published online: 26 MAY 1999

Funded by

  • The Academy of Finland. Grant Number: 34063

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Keywords:

  • shape optimization;
  • genetic algorithms;
  • fluid dynamics;
  • electromagnetics

Abstract

A multiobjective multidisciplinary design optimization (MDO) of two-dimensional airfoil is presented. In this paper, an approximation for the Pareto set of optimal solutions is obtained by using a genetic algorithm (GA). The first objective function is the drag coefficient. As a constraint it is required that the lift coefficient is above a given value. The CFD analysis solver is based on the finite volume discretization of the inviscid Euler equations. The second objective function is equivalent to the integral of the transverse magnetic radar cross section (RCS) over a given sector. The computational electromagnetics (CEM) wave field analysis requires the solution of a two-dimensional Helmholtz equation which is obtained using a fictitious domain method. Numerical experiments illustrate the above evolutionary methodology on an IBM SP2 parallel computer. Copyright © 1999 John Wiley & Sons, Ltd.

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