Pseudo-Time Method for Optimal Shape Design Using the Euler Equations.

Abstract

In this paper we exploit a novel idea for the optimization of flows governed by the Euler equations. The algorithm consists of marching on the design hypersurface while improving the distance to the state and costate hypersurfaces. We consider the problem of matching the pressure distribution to a desired one, subject to the Euler equations, both for subsonic and supersonic flows. The rate of convergence to the minimum for the cases considered is 3 to 4 times slower than that of the analysis problem. Results are given for Ringleb flow and a shockless recompression case.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1995
Accession Number
ADA299900

Entities

People

  • Angelo Iollo
  • Geojoe Kuruvila
  • Shlomo Ta'asan

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Convergence
  • Differential Equations
  • Equations
  • Equations Of State
  • Euler Equations
  • Flow
  • Flow Fields
  • Fluid Dynamics
  • Fluid Mechanics
  • Mach Number
  • Navier Stokes Equations
  • Partial Differential Equations
  • Pressure Distribution

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics