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Uncertainty Quantification of Nonlinear Stochastic Phenomena

Title: Uncertainty Quantification of Nonlinear Stochastic Phenomena.
Name(s): Jimenez, Edwin, 1976-, author
Hussaini, M. Y., professor directing dissertation
Srivastava, Anuj, university representative
Sussman, Mark, committee member
Kopriva, David, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2009
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-3511 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Fall Semester, 2009.
Date of Defense: October 6, 2009.
Keywords: Wildland Fire, Aeroacoustics, Polynomial Chaos, Monte Carlo Methods, Variance Reduction, Uncertainty Quantification
Bibliography Note: Includes bibliographical references.
Advisory Committee: M. Y. Hussaini, Professor Directing Dissertation; Anuj Srivastava, University Representative; Mark Sussman, Committee Member; David Kopriva, Committee Member.
Subject(s): Mathematics
Persistent Link to This Record:
Owner Institution: FSU

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Jimenez, E. (2009). Uncertainty Quantification of Nonlinear Stochastic Phenomena. Retrieved from