A Sensitivity Equation Approach to Shape Optimization in Fluid Flows

Abstract

In this paper we apply a sensitivity equation method to shape optimization problems. An algorithm is developed and tested on a problem of designing optimal forebody simulators for a 2D, inviscid supersonic flow. The algorithm uses a BFGS/Trust Region optimization scheme with sensitivities computed by numerically approximating the linear partial differential equations that determine the flow sensitivities. Numerical examples are presented to illustrate the method. Optimal design, Shape optimization, Sensitivity analysis.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA278423

Entities

People

  • Jeff Borggaard
  • John A. Burns

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of State
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Inviscid Flow
  • Mach Number
  • Partial Differential Equations
  • Simulators
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Aerodynamics/Aeronautics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Hypersonics