Numerical Methods for Accurate Computation of Design Sensitivities

Abstract

This work is concerned with the development of computational methods for approximating sensitivities of solutions to boundary value problems. We focus on the continuous sensitivity equation method and investigate the application of adaptive meshing and smoothing projection techniques to enhance the basic scheme. The fundamental ideas are first developed for a one dimensional problem and then extended to 2-D flow problems governed by the incompressible Navier-Stokes equations. Numerical experiments are conducted to test the algorithms and to investigate the benefits of adaptivity and smoothing.

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Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1998
Accession Number
ADA348625

Entities

People

  • Dawn L. Stewart

Tags

Communities of Interest

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

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Equations Of State
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Mathematics
  • Mechanical Properties
  • Navier Stokes Equations
  • Partial Differential Equations
  • Reynolds Number
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design