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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/10153
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dc.contributor.advisorProtas, Bartoszen_US
dc.contributor.advisorDavid Lozinski and Nicholas Kevlahanen_US
dc.contributor.advisorDavid Lozinski and Nicholas Kevlahanen_US
dc.contributor.authorPeng, Xiaohuien_US
dc.date.accessioned2014-06-18T16:50:08Z-
dc.date.available2014-06-18T16:50:08Z-
dc.date.created2011-07-06en_US
dc.date.issued2011-10en_US
dc.identifier.otheropendissertations/5212en_US
dc.identifier.other6176en_US
dc.identifier.other2089606en_US
dc.identifier.urihttp://hdl.handle.net/11375/10153-
dc.description.abstract<p>This investigation is motivated by the problem of optimal design of cooling elements in modern battery systems used in hybrid/electric vehicles. We consider a simple model of two-dimensional steady-state heat conduction generated by a prescribed distribution of heat sources and involving a one-dimensional cooling element represented by a closed contour. The problem consists in finding an optimal shape of the cooling element which will ensure that the temperature in a given region is close (in the least squares sense) to some prescribed distribution. We formulate this problem as PDE-constrained optimization and use methods of the shape-differential calculus to obtain the first-order optimality conditions characterizing the locally optimal shapes of the contour. These optimal shapes are then found numerically using the conjugate gradient method where the shape gradients are conveniently computed based on adjoint equations. A number of computational aspects of the proposed approach is discussed and optimization results obtained in several test problems are presented.</p>en_US
dc.subjectShape Differentiationen_US
dc.subjectCost Functionalen_US
dc.subjectAdjoint Systemen_US
dc.subjectSpectral Methoden_US
dc.subjectBoundary Integral Equationen_US
dc.subjectShape Gradienten_US
dc.subjectNumerical Analysis and Computationen_US
dc.subjectNumerical Analysis and Computationen_US
dc.titleOPTIMAL GEOMETRY IN A SIMPLE MODEL OF TWO-DIMENSIONAL HEAT TRANSFERen_US
dc.typethesisen_US
dc.contributor.departmentMathematics and Statisticsen_US
dc.description.degreeMaster of Science (MSc)en_US
Appears in Collections:Open Access Dissertations and Theses

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