Open Access

ARTICLE

Investigation of Multi Geometric Uncertainties by Different Polynomial Chaos Methodologies Using a Fictitious Domain Solver

L. Parussini¹, V. Pediroda²
1 Researcher, Department of Mechanical Engineering, University of Trieste, Via Valerio 10, 34127 - Trieste, Italy, E-mail: lparussini@units.it
2 Assistant Professor, Department of Mechanical Engineering, University of Trieste, Via Valerio 10, 34127 - Trieste, Italy, E-mail: pediroda@units.it

Computer Modeling in Engineering & Sciences 2008, 23(1), 29-52. https://doi.org/10.3970/cmes.2008.023.029

Abstract

In this paper different Polynomial Chaos methods coupled to Fictitious Domain approach have been applied to one- and two- dimensional elliptic problems with multi uncertain variables in order to compare the accuracy and convergence of the methodologies. Both intrusive and non-intrusive methods have been considered, with particular attention to their employment for quantification of geometric uncertainties. A Fictitious Domain approach with Least-Squares Spectral Element approximation has been employed for the analysis of differential problems with uncertain boundary domains. Its main advantage lies in the fact that only a Cartesian mesh, that represents the enclosure, needs to be generated. Excellent accuracy properties of considered methods are demonstrated by numerical experiments.

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Keywords

Chaos Polynomial, Chaos Collocation, Tensorial-expanded Chaos Collocation, multi geometric uncertainties, Fictitious Domain, Least-Squares Spectral Element Method

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