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Uncertainty characterization for advection/diffusion equations.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Uncertainty characterization for advection/diffusion equations./
Author:	Rech, Max.
Description:	73 p.
Notes:	Source: Masters Abstracts International, Volume: 49-04, page: 2693.
Contained By:	Masters Abstracts International49-04.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1488944
ISBN:	9781124475684

Uncertainty characterization for advection/diffusion equations.
Rech, Max.

Uncertainty characterization for advection/diffusion equations. - 73 p.

Source: Masters Abstracts International, Volume: 49-04, page: 2693.

Thesis (M.S.)--State University of New York at Buffalo, 2011.

The focus of this work is on characterization of uncertainties in distributed parameter systems. Two specific problem which represent the advection problem and the second which represents the diffusion problem are considered and analyzed. Closed form solutions for the deterministic problem are first developed for both the advection and diffusion problem. Following this, the evolution of uncertain initial conditions is studied. Dynamic models for the propagation of the mean and covariance of the advection and diffusion problem are derived and numerical simulations of the equations for the dynamics of the mean and variance are verified by comparing the results generated by Monte Carlo simulations. In the penultimate chapter, the effect of model parameter uncertainties is presented. A novel technique called Polynomial Chaos is used to parameterize the time-invariant uncertain model parameters. Galerkin projections are used to arrive at a set of coupled partial differential equations. Numerical simulation of this set of deterministic equations can be post-processed to determine the evolution of the statistics of the variable of interest. The advection and diffusion equations are again used to illustrate the polynomial chaos approach.

ISBN: 9781124475684Subjects--Topical Terms:

845387
Engineering, Mechanical.

Uncertainty characterization for advection/diffusion equations.
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100 1 $a Rech, Max. $3 845599
245 1 0 $a Uncertainty characterization for advection/diffusion equations.
300 $a 73 p.
500 $a Source: Masters Abstracts International, Volume: 49-04, page: 2693.
500 $a Adviser: Tarunraj Singh.
502 $a Thesis (M.S.)--State University of New York at Buffalo, 2011.
520 $a The focus of this work is on characterization of uncertainties in distributed parameter systems. Two specific problem which represent the advection problem and the second which represents the diffusion problem are considered and analyzed. Closed form solutions for the deterministic problem are first developed for both the advection and diffusion problem. Following this, the evolution of uncertain initial conditions is studied. Dynamic models for the propagation of the mean and covariance of the advection and diffusion problem are derived and numerical simulations of the equations for the dynamics of the mean and variance are verified by comparing the results generated by Monte Carlo simulations. In the penultimate chapter, the effect of model parameter uncertainties is presented. A novel technique called Polynomial Chaos is used to parameterize the time-invariant uncertain model parameters. Galerkin projections are used to arrive at a set of coupled partial differential equations. Numerical simulation of this set of deterministic equations can be post-processed to determine the evolution of the statistics of the variable of interest. The advection and diffusion equations are again used to illustrate the polynomial chaos approach.
590 $a School code: 0656.
650 4 $a Engineering, Mechanical. $3 845387
690 $a 0548
710 2 $a State University of New York at Buffalo. $b Mechanical and Aerospace Engineering. $3 845600
773 0 $t Masters Abstracts International $g 49-04.
790 1 0 $a Singh, Tarunraj, $e advisor
790 1 0 $a Singla, Puneet $e committee member
790 1 0 $a Crassidis, John L. $e committee member
790 $a 0656
791 $a M.S.
792 $a 2011
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1488944