Approximation methods for boundary control of the Boussinesq equations

John A. Burns, Weiwei Hu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations

Abstract

In this paper we discuss an approximation method for dealing with Dirichlet boundary control of thermal-fluid systems. The physics of displacement ventilation and buoyancy-driven flows are described by the Bonssinesq equations. We first develop a computational algorithm for solving the corresponding LQR control problem for the Boussinesq equations with general Robin boundary conditions. This scheme is combined with a finite element method that generalizes Nitsche's perturbation theory for approximating Dirichlet boundary conditions. Using this approach we are able to avoid imposing the "compatibility condition" that is required for Dirichlet boundary control in 3D problems. Numerical examples are presented to illustrate the computational algorithm.

Original languageEnglish (US)
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages454-459
Number of pages6
ISBN (Print)9781467357173
DOIs
StatePublished - Jan 1 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

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