Bayesian Calibration for Large-Scale Fluid Structure Interaction Problems Under Embedded/Immersed Boundary Framework

TL;DR

This paper introduces a derivative-free Bayesian calibration framework using unscented Kalman filtering for large-scale fluid-structure interaction problems with noisy data, demonstrated on piston and airfoil models.

Contribution

It presents a novel, non-intrusive calibration method suitable for complex, computationally expensive models with large deformations and non-differentiable numerical schemes.

Findings

Successfully calibrated piston model parameters.

Identified damage field of airfoil under buffeting.

Framework is effective for large-scale, non-differentiable systems.

Abstract

Bayesian calibration is widely used for inverse analysis and uncertainty analysis for complex systems in the presence of both computer models and observation data. In the present work, we focus on large-scale fluid-structure interaction systems characterized by large structural deformations. Numerical methods to solve these problems, including embedded/immersed boundary methods, are typically not differentiable and lack smoothness. We propose a framework that is built on unscented Kalman filter/inversion to efficiently calibrate and provide uncertainty estimations of such complicated models with noisy observation data. The approach is derivative-free and non-intrusive, and is of particular value for the forward model that is computationally expensive and provided as a black box which is impractical to differentiate. The framework is demonstrated and validated by successfully calibrating the model parameters of a piston problem and identifying the damage field of an airfoil under transonic buffeting.