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New methods in fluid‐structure coupling with application to biomechanics
Author(s) -
Cottet GeorgesHenri,
Maitre Emmanuel,
Milcent Thomas
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700575
Subject(s) - multiphysics , coupling (piping) , eulerian path , fluid–structure interaction , compressibility , dissipation , fluid coupling , regularization (linguistics) , biomechanics , computer science , simplicity , mechanics , classical mechanics , finite element method , physics , mathematics , mechanical engineering , engineering , thermodynamics , lagrangian , artificial intelligence , quantum mechanics
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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)