Aerodynamic Shape Optimization Techniques Based on Control Theory

Abstract

This document serves as a final technical report for the AFOSR award F49620-95-1-0259. It reviews the formulation and application of optimization techniques based on control theory for aerodynamic shape design in viscous compressible flow. The theory is applied to a system defined by the partial differential equations of the flow, with the boundary shape acting as the control. The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. Each design cycle requires the numerical solution of both the flow and the adjoint equations, leading to a computational cost roughly equal to the cost of two flow solutions. Representative results are presented for viscous optimization of transonic wing-body combinations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 25, 2000
Accession Number
ADA385586

Entities

People

  • Antony Jameson
  • Luigi Martinelli

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Cargo Aircraft
  • Computational Fluid Dynamics
  • Computational Science
  • Control Theory
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Navier Stokes Equations
  • Partial Differential Equations
  • Pressure Distribution
  • Three Dimensional
  • Transport Aircraft
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.