Effects of geometric tolerance in Fluid Dynamics

In this work an approach is presented for the analysis of the effects of geomet-ric tolerances in fluid dynamic behaviour of manufactured components. The Tensorial-expanded Chaos Collocation method coupled to Fictitious Domain Method has been used to solve Fluid Dynamic problems with geometric uncertainties. The main advantage of the Tensorial-expanded Chaos Collocation method is its non-intrusive formulation, so existing deterministic solvers can be used. The Least-Squares Spectral Element Method has been employed for the analysis of the 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 capabilities of the Tensorial-expanded Chaos Collocation method combined to the Ficti-tious Domain-Least- Squares Spectral Element Method are demonstrated by a numerical experiment.