Stochastic flow-structure interactions

We present a fast Generalized Polynomial Chaos algorithm to model the input uncertainty and its propagation in simulating flow-structure interactions. The stochastic input is represented spectrally by the Polynomial Chaos functionals, and the governing equations are formulated by employing Galerkin projections. The algorithm is applied to flow-structure interaction problems. We present 2D results of a random laminar inflow past a free cylinder with random structural parameters. We also describe an ongoing effort in developing a stochastic 3D versin with a Fourier expansion along the spanwise direction.