Uncertainty quantification of nonlinear stochastic phenomena
by Jimenez, Edwin, Ph.D., THE FLORIDA STATE UNIVERSITY, 2009, 125 pages; 3399201

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.

 
AdviserM. Y. Hussaini
SchoolTHE FLORIDA STATE UNIVERSITY
SourceDAI/B 71-03, p. , Apr 2010
Source TypeDissertation
SubjectsApplied mathematics
Publication Number3399201
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