Contribution to the Optimal Shape Design of Two-Dimensional Internal Flows With Embedded Shocks.

Abstract

We explore the practicability of optimal shape design for flows modeled by the Euler equations. We define a functional whose minimum represents the optimality condition. The gradient of the functional with respect to the geometry is calculated with the Lagrange multipliers, which are determined by solving a costate equation. The optimization problem is then examined by comparing the performance of several gradient-based optimization algorithms. In this formulation, the flow field can be computed to an arbitrary order of accuracy. Finally, some results for internal flows with embedded shocks are presented, including a case for which the solution to the inverse problem does not belong to the design space. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1995
Accession Number
ADA294296

Entities

People

  • Angelo Iollo
  • Manuel D. Salas

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Central Processing Units
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Euler Equations
  • Flow
  • Flow Fields
  • Fluid Dynamics
  • Geometry
  • Inverse Problems
  • Mach Number
  • Optimization
  • Pressure Distribution
  • Static Pressure
  • Topology
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Computational Modeling and Simulation
  • Operations Research

Technology Areas

  • Space