Numerical Methods for Accurate Computation of Design Sensitivities

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1998

Author dc:creator

• Stewart, Dawn L.

Chair dc:contributor.committeechair

• Burns, John A.

Committee members dc:contributor.committeemember

• Rossi, John F.
• Herdman, Terry L.
• Cliff, Eugene M.
• Borggaard, Jeffrey T.

• Fluid Flow
• Finite element method
• Navier-Stokes
• Partial Differential Equations
• Local and Global Projections
• Sensitivity Analysis

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-51198-141950

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/30561