Type of Document	Dissertation
Author	Jimenez, Edwin N
Author's Email Address	ejimenez@fsu.edu
URN	etd-11092009-161351
Title	Uncertainty Quantification of Nonlinear Stochastic Phenomena
Degree	Doctor of Philosophy
Department	Mathematics, Department of
Advisory Committee	Advisor Name Title M.Y. Hussaini Committee Chair David Kopriva Committee Member Mark Sussman Committee Member Anuj Srivastava University Representative
Keywords	Wildland Fire Aeroacoustics Polynomial Chaos Monte Carlo Methods Variance Reduction Uncertainty Quantification
Date of Defense	2009-10-06
Availability	unrestricted
Abstract The present work quantifies uncertainty in two nonlinear problems using efficient sampling methods and polynomial chaos expansions. The first application is to the Rothermel wildland fire spread model. This model consists of a nonlinear system of algebraic and transcendental equations that relates environmental variables (input parameter groups) such as fuel type, fuel moisture, terrain, and wind to describe the fire environment. The second application quantifies aeroacoustic uncertainty of a Joukowski airfoil in stochastic vortical gusts. The stochastic gusts are described by random variables that model the gust amplitudes and frequency. The quantification of uncertainty is measured in terms of statistical moments. We construct moment estimates using a variance reduction procedure as well as an efficient stochastic collocation method.
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