Title page for ETD etd-1938102939721181


Type of Document Dissertation
Author Rubio, Diana
URN etd-1938102939721181
Title Distributed Parameter Control of Thermal Fluids
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Borggaard, Jeffrey T.
Cliff, Eugene M.
Herdman, Terry L.
Lin, Tao
Burns, John A. Committee Chair
Keywords
  • semigroups
  • dynamical systems
  • boundary control
  • boussinesq approximation
Date of Defense 1997-04-21
Availability unrestricted
Abstract
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.

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