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Article Dans Une Revue PAMM Année : 2007

New methods in fluid-structure coupling with application to biomechanics

Georges-Henri Cottet
Emmanuel Maitre
Thomas Milcent
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Résumé

An Eulerian approach is presented for generic fluid-structure coupling of an elastic body with an incompressible fluid. We consider the coupling as a multiphysics problem where fluid-solid interfaces are captured by a level-set method. The main features of the method are its simplicity, and its natural control of mass and energy. We are indeed able to prove an energy equation which ensures in particular that the regularization of the force does not involve any energy dissipation.

Dates et versions

hal-00747740 , version 1 (01-11-2012)

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Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent. New methods in fluid-structure coupling with application to biomechanics. PAMM, 2007, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, 7 (1), pp.1140301-1140302. ⟨10.1002/pamm.200700575⟩. ⟨hal-00747740⟩
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