A Parallel Solver for FSI Problems with Fictitious Domain Approach

Author:

Boffi Daniele12,Credali Fabio12ORCID,Gastaldi Lucia3ORCID,Scacchi Simone4

Affiliation:

1. Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia

2. Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia, Via Ferrata 5, 27100 Pavia, Italy

3. Dipartimento di Ingegneria Civile, Architettura, Territorio, Ambiente e di Matematica, Università degli Studi di Brescia, Via Branze 43, 25123 Brescia, Italy

4. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy

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.

Publisher

MDPI AG

Subject

Applied Mathematics,Computational Mathematics,General Engineering

Reference36 articles.

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3. Donea, J., Huerta, A., Ponthot, J.P., and Rodríguez-Ferran, A. (2004). Arbitrary Lagrangian–Eulerian Methods. Encycl. Comput. Mech.

4. Lagrangian–Eulerian finite element formulation for incompressible viscous flows;Hughes;Comput. Methods Appl. Mech. Eng.,1981

5. An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes;Burman;Comput. Methods Appl. Mech. Eng.,2014

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