PhD Dissertation Defense: Graham Alldredge

Wednesday, November 7, 2012
10:30 a.m.
Room 1146, AVW Bldg.
Maria Hoo
301 405 3681
mch@umd.edu

ANNOUNCEMENT: PhD Dissertation Defense

Name: Graham Alldredge

Committee:

Professor André, Chair/Advisor

Doctor Cory Hauck, Co-Advisor

Professor Dianne O'Leary

Professor Isaak Mayergoyz

Professor C. David Levermore, Dean's Representative

Date/Time: Wednesday, November 7, 2012 at 10:30am

Location: Room 1146, AVW Building

Title: Optimization Techniques for Entropy-Based Moment Closures in Linear Transport

Abstract: The kinetic equation is used to model many physical phenomena, ranging from gas dynamics to semiconductors to radiative transport and more, but the large state space of the system can make simulation difficult. The entropy-based moment closure model of the

kinetic equation reduces the size of the state space and has attractive theoretical and practical properties, but most implementations have avoided the defining optimization problem. We use the linear one-dimensional slab-geometry model to expose the main challenges to the use of numerical optimization and propose anisotropic regularization, fixed quadrature, and an adaptive-basis

optimization algorithm can be used to numerically solve the entropy-based moment closure model practically. We develop manufactured solutions to test our algorithm and also present its performance ontwo standard test problems.

Audience: Graduate  Faculty 

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