A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems

Abstract

The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid-Structure Interaction (FSI) problems, namely a monolithic and a partitioned approach. We provide the details of implementation of two reduction procedures, and we then apply them to the same test case of interest. We first implement a reduction technique that is based on a monolithic procedure where we solve the fluid and the solid problems all at once. We then present another reduction technique that is based on a partitioned (or segregated) procedure: the fluid and the solid problems are solved separately and then coupled using a fixed point strategy. The toy problem that we consider is based on the Turek-Hron benchmark test case, with a fluid Reynolds number Re = 100.

References in corpus (6)

• Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
• Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
• A cut-cell finite volume - finite element coupling approach for fluid-structure interaction in compressible flow
• Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations
• The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: from Laminar to Turbulent Flows
• Reduced-order semi-implicit schemes for fluid-structure interaction problems

Cited by in corpus (7)

• Model order reduction for bifurcating phenomena in Fluid-Structure Interaction problems
• An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations
• Projection based semi--implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid--Structure Interaction problems
• An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems
• A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems
• Adjacency-based, non-intrusive model reduction for Vortex-Induced Vibrations
• Adjacency-based, Non-intrusive Reduced-order Modeling for Fluid-Structure Interactions