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Three-Dimensional Simulation of Fluid–Structure Interaction Problems Using Monolithic Semi-Implicit Algorithm

Département de Mathématiques, IRIMAS, Université de Haute Alsace, 6, rue des Frères Lumière, 68093 Mulhouse CEDEX, France
Fluids 2019, 4(2), 94; https://doi.org/10.3390/fluids4020094
Received: 17 March 2019 / Revised: 27 April 2019 / Accepted: 13 May 2019 / Published: 22 May 2019
(This article belongs to the Special Issue Recent Numerical Advances in Fluid Mechanics)
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Abstract

A monolithic semi-implicit method is presented for three-dimensional simulation of fluid–structure interaction problems. The updated Lagrangian framework is used for the structure modeled by linear elasticity equation and, for the fluid governed by the Navier–Stokes equations, we employ the Arbitrary Lagrangian Eulerian method. We use a global mesh for the fluid–structure domain where the fluid–structure interface is an interior boundary. The continuity of velocity at the interface is automatically satisfied by using globally continuous finite element for the velocity in the fluid–structure mesh. The method is fast because we solve only a linear system at each time step. Three-dimensional numerical tests are presented. View Full-Text
Keywords: fluid–structure interaction; monolithic method; Updated Lagrangian; Arbitrary Lagrangian Eulerian fluid–structure interaction; monolithic method; Updated Lagrangian; Arbitrary Lagrangian Eulerian
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Murea, C.M. Three-Dimensional Simulation of Fluid–Structure Interaction Problems Using Monolithic Semi-Implicit Algorithm. Fluids 2019, 4, 94.

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