Scholarly
    Communications Project


Document Type:Dissertation
Name:Dawn L. Stewart
Email address:stewartd@icam.vt.edu
URN:1998/00712
Title:Numerical Methods for Accurate Computation of Design Sensitivities
Degree:Doctor of Philosophy
Department:Mathematics
Committee Chair: John Burns
Chair's email:burns@icam.vt.edu
Committee Members:Jeff Borggaard
Gene Cliff
Terry Herdman
John Rossi
Keywords:Fluid Flow, Finite Element Method, Navier-Stokes, Partial Differential Equations, Local and Global Projections, Sensitivity Analysis
Date of defense:June 10, 1998
Availability:Release the entire work immediately worldwide.

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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