A reduced-order model for segregated fluid-structure interaction solvers based on an ALE approach

TL;DR

This paper introduces a stable and accurate reduced-order model for fluid-structure interaction problems using an ALE framework, combining Galerkin projection, POD, and RBF networks, validated on a vortex-induced vibration benchmark.

Contribution

It develops a novel hybrid ROM approach that integrates classical Galerkin projection with RBF networks within an ALE framework for FSI problems, ensuring stability and accuracy.

Findings

Successfully captures transient flow fields and forces

Maintains stability without unphysical divergence

Validated on vortex-induced vibration benchmark

Abstract

This article presents a Galerkin projection-based reduced-order modelling (ROM) approach for segregated fluid-structure interaction (FSI) problems, formulated within an Arbitrary Lagrangian Eulerian (ALE) framework at low Reynolds numbers using the Finite Volume Method (FVM). The ROM is constructed using Proper Orthogonal Decomposition (POD) and incorporates a data-driven technique that combines classical Galerkin projection with radial basis function (RBF) networks. The results demonstrate the numerical stability and accuracy of the proposed method relative to the high-fidelity model. The ROM successfully captures transient flow fields and, importantly, the forces acting on the moving structure without exhibiting unphysical growth or divergence over time. This is further supported by the bounded evolution of error metrics and physical observables, which remain consistent with the full-order simulations throughout the prediction horizon. The method's effectiveness is validated through a benchmark vortex-induced vibration (VIV) case involving a circular cylinder at Reynolds number Re=200. The hybrid ROM approach yields an accurate and efficient tool for solving FSI problems involving mesh motion.