A parallel solver for FSI problems with fictitious domain approach

TL;DR

This paper introduces a parallel computational solver for fluid-structure interaction problems using a fictitious domain approach, combining Navier-Stokes and elasticity equations, and demonstrates its robustness and scalability on a Linux cluster.

Contribution

It develops a novel parallel solver based on PETSc for FSI problems with a fictitious domain method, validated through scalability and robustness tests.

Findings

Robustness with respect to mesh refinement

Weak scalability demonstrated on Linux cluster

Effective coupling of fluid and solid models

Abstract

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier-Stokes equations, while the solid evolution is represented by the elasticity equations. The parallel implementation is based on the PETSc library and the solver has been tested in terms of robustness with respect to mesh refinement and weak scalability by running simulations on a Linux cluster.