Sensitivity analysis and computational shape optimization for incompressible flows

We consider the optimization of a cost functional defined for a fluid flowing through a channeL Parameters control the shape of an obstruction in the flow, and the strength of the inflow. The problem is discretized using finite elements. Optimization algorithms are considered which use either finite differences or sensitivities to estimate the gradient of the cost functional. Problems of scaling, local minimization, and cost functional regularization are considered. Methods of improving the efficiency of the algorithm are proposed.

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

1995

Author dc:creator

• Burkhardt, John

Chair dc:contributor.committeechair

• Gunzburger, Max D.

Committee members dc:contributor.committeemember

• Burns, John A.
• Cliff, Eugene M.
• Herdman, Terry L.
• Peterson, Janet S.

• flow obstructions

Statement dc:rights

• In Copyright

Licence dc:rights.uri

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

Language dc:language.iso

en

Dc Identifier Other

etd-06062008-162228

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/38170