Distributed Parameter Control of Thermal Fluids

We consider the problem of controlling a thermal convection flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear control and a non-linear quadratic control and apply them to the full non-linear model. First, we test these controllers on a one-mode approximation. The convergence of the numerical scheme is analyzed. We also consider LQR control for a two-dimensional heat equation.

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

1997

Author dc:creator

• Rubio, Diana

Chair dc:contributor.committeechair

• Burns, John A.

Committee members dc:contributor.committeemember

• Herdman, Terry L.
• Borggaard, Jeffrey T.
• Lin, Tao
• Cliff, Eugene M.

• semigroups
• dynamical systems
• boundary control
• boussinesq approximation

Statement dc:rights

• In Copyright

Licence dc:rights.uri

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

Dc Identifier Other

etd-1938102939721181

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/30330