Projection based semi--implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid--Structure Interaction problems

TL;DR

This paper introduces a semi-implicit partitioned Reduced Basis Method for efficiently solving both parametrized and non-parametrized Fluid-Structure Interaction problems involving incompressible fluids and elastic structures.

Contribution

It proposes a novel projection-based reduced order model that handles coupled multiphysics FSI problems with semi-implicit coupling and Proper Orthogonal Decomposition.

Findings

Effective reduction of computational complexity for FSI problems.

Applicable to both time-dependent and parametrized scenarios.

Maintains accuracy with reduced basis approach.

Abstract

We present a partitioned Model Order Reduction method for multiphysics problems, that is based on a semi-implicit treatment of the coupling conditions, and on a projection scheme. The proposed Reduced Order Method is based on the Proper Orthogonal Decomposition and on a Galerkin projection onto the reduced basis spaces; we aim of addressing both time-dependent and time-dependent, parametrized Fluid-Structure Interaction problems, where the fluid is incompressible and the structure is linear, elastic and two dimensional.