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Journal Articles SIAM Journal on Scientific Computing Year : 2014

Explicit coupling schemes for a fluid-fluid interaction problem arising in hemodynamics

Abstract

In this work we propose a new approach to the loosely coupled time-marching of a fluid-fluid interaction problems involving the incompressible Navier-Stokes equations. The methods combine a specific explicit Robin-Robin treatment of the interface coupling with a weakly consistent interface pressure stabilization in time. A priori energy estimates guaranteeing stability of the splitting are obtained for a total pressure formulation of the coupled problem. The performance of the proposed schemes is illustrated on several numerical experiments related to simulation of aortic blood flow.
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Dates and versions

hal-00915213 , version 1 (06-12-2013)
hal-00915213 , version 2 (01-05-2014)

Identifiers

Cite

Miguel Angel Fernández, Jean-Frédéric Gerbeau, Saverio Smaldone. Explicit coupling schemes for a fluid-fluid interaction problem arising in hemodynamics. SIAM Journal on Scientific Computing, 2014, 36 (6), pp.2557-2583. ⟨10.1137/130948653⟩. ⟨hal-00915213v2⟩
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