Three-dimensional aerodynamic shape optimization using genetic and gradient search algorithms

Norman F. Foster, George S. Dulikravich

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

Two hybrid optimization methods used for preliminary aerodynamic design are introduced. The first is a gradient method based on Rosen's projection method and the method of feasible directions. The second technique is a genetic algorithm that uses elements of the Nelder-Mead simplex method to aid in search direction determination, as well as gradient methods to handle constrained problems. These methods are applied to three-dimensional shape optimization of ogive-shaped, star-shaped, spiked projectiles and lifting bodies in a hypersonic flow. Flowfield analyses are performed using Newtonian flow theory and, in one case, verified using a parabolized Navier-Stokes flow analysis algorithm. Three-dimensional geometrical rendering is achieved using a variety of techniques including beta splines from the computer graphics industry. In a comparison to the gradient-based method, the hybrid genetic algorithm is shown to be able to achieve impressive convergence on highly constrained problems while avoiding local minima.

Original languageEnglish (US)
Pages (from-to)36-42
Number of pages7
JournalJournal of Spacecraft and Rockets
Volume34
Issue number1
DOIs
StatePublished - Jan 1 1997

Fingerprint

shape optimization
Gradient methods
Shape optimization
aerodynamics
Aerodynamics
Genetic algorithms
Newtonian flow
genetic algorithms
Hypersonic flow
gradients
lifting bodies
Computer graphics
Projectiles
simplex method
Splines
Stars
flow theory
hypersonic flow
computer graphics
Stokes flow

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

@article{a9f3fea44707490ab1de7e046e57958f,
title = "Three-dimensional aerodynamic shape optimization using genetic and gradient search algorithms",
abstract = "Two hybrid optimization methods used for preliminary aerodynamic design are introduced. The first is a gradient method based on Rosen's projection method and the method of feasible directions. The second technique is a genetic algorithm that uses elements of the Nelder-Mead simplex method to aid in search direction determination, as well as gradient methods to handle constrained problems. These methods are applied to three-dimensional shape optimization of ogive-shaped, star-shaped, spiked projectiles and lifting bodies in a hypersonic flow. Flowfield analyses are performed using Newtonian flow theory and, in one case, verified using a parabolized Navier-Stokes flow analysis algorithm. Three-dimensional geometrical rendering is achieved using a variety of techniques including beta splines from the computer graphics industry. In a comparison to the gradient-based method, the hybrid genetic algorithm is shown to be able to achieve impressive convergence on highly constrained problems while avoiding local minima.",
author = "Foster, {Norman F.} and Dulikravich, {George S.}",
year = "1997",
month = "1",
day = "1",
doi = "10.2514/2.3189",
language = "English (US)",
volume = "34",
pages = "36--42",
journal = "Journal of Spacecraft and Rockets",
issn = "0022-4650",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
number = "1",

}

Three-dimensional aerodynamic shape optimization using genetic and gradient search algorithms. / Foster, Norman F.; Dulikravich, George S.

In: Journal of Spacecraft and Rockets, Vol. 34, No. 1, 01.01.1997, p. 36-42.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Three-dimensional aerodynamic shape optimization using genetic and gradient search algorithms

AU - Foster, Norman F.

AU - Dulikravich, George S.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Two hybrid optimization methods used for preliminary aerodynamic design are introduced. The first is a gradient method based on Rosen's projection method and the method of feasible directions. The second technique is a genetic algorithm that uses elements of the Nelder-Mead simplex method to aid in search direction determination, as well as gradient methods to handle constrained problems. These methods are applied to three-dimensional shape optimization of ogive-shaped, star-shaped, spiked projectiles and lifting bodies in a hypersonic flow. Flowfield analyses are performed using Newtonian flow theory and, in one case, verified using a parabolized Navier-Stokes flow analysis algorithm. Three-dimensional geometrical rendering is achieved using a variety of techniques including beta splines from the computer graphics industry. In a comparison to the gradient-based method, the hybrid genetic algorithm is shown to be able to achieve impressive convergence on highly constrained problems while avoiding local minima.

AB - Two hybrid optimization methods used for preliminary aerodynamic design are introduced. The first is a gradient method based on Rosen's projection method and the method of feasible directions. The second technique is a genetic algorithm that uses elements of the Nelder-Mead simplex method to aid in search direction determination, as well as gradient methods to handle constrained problems. These methods are applied to three-dimensional shape optimization of ogive-shaped, star-shaped, spiked projectiles and lifting bodies in a hypersonic flow. Flowfield analyses are performed using Newtonian flow theory and, in one case, verified using a parabolized Navier-Stokes flow analysis algorithm. Three-dimensional geometrical rendering is achieved using a variety of techniques including beta splines from the computer graphics industry. In a comparison to the gradient-based method, the hybrid genetic algorithm is shown to be able to achieve impressive convergence on highly constrained problems while avoiding local minima.

UR - http://www.scopus.com/inward/record.url?scp=0030833525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030833525&partnerID=8YFLogxK

U2 - 10.2514/2.3189

DO - 10.2514/2.3189

M3 - Article

AN - SCOPUS:0030833525

VL - 34

SP - 36

EP - 42

JO - Journal of Spacecraft and Rockets

JF - Journal of Spacecraft and Rockets

SN - 0022-4650

IS - 1

ER -