Abstract
In this paper the Tensorial-expanded Chaos Collocation method has been applied to fluid dynamic problems with geometric tolerances and aleatoric boundary conditions. The main advantage of the Tensorial-expanded Chaos Collocation method is its non-intrusive formulation, so existing deterministic solvers can be used. A Least-Squares Spectral Element method has been employed for the analysis of deterministic differential problems obtained by Tensorial-expanded Chaos Collocation. This algorithm exploits a Fictitious Domain approach, so it is particularly suitable to solve differential problems defined on stochastic domains. The great capabilities of the Tensorial-expanded Chaos Collocation method combined to Fictitious Domain-Least-Squares Spectral Element method are demonstrated by numerical experiments.
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