A Flexible Uncertainty Quantification Framework for General Multi-Physics Systems

TL;DR

This paper introduces a flexible, module-based uncertainty quantification framework for complex multi-physics systems, enabling independent stochastic module development and coupling, demonstrated on thermal cavity flow with computational efficiency gains.

Contribution

It presents a novel hybrid UQ framework supporting diverse probabilistic methods for each physics module and coupling them within a unified structure.

Findings

Framework supports non-intrusive, semi-intrusive, and intrusive UQ methods.

Demonstrated on thermal cavity flow with significant computational savings.

Validated the framework's flexibility and efficiency in multi-physics simulations.

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.