A Flexible Uncertainty Quantification Framework for General Multi-Physics Systems

Abstract: We present a "module-based hybrid" Uncertainty Quantification (UQ) framework for general nonlinear multi-physics simulation. The proposed methodology, introduced in [\hyperlink{ref1}{1}], supports the independent development of each \emph{stochastic} linear or nonlinear physics module equipped with the most suitable probabilistic UQ method: non-intrusive, semi-intrusive or intrusive; and provides a generic framework to couple these stochastic simulation components. Moreover, the methodology is illustrated using a common "global" uncertainty representation scheme based on generalized polynomial chaos (gPC) expansions of inputs and outputs. By using thermally-driven cavity flow as the multi-physics model problem, we demonstrate the utility of our framework and report the computational gains achieved.