2MSME - Laboratoire de Modélisation et Simulation Multi Echelle (Université Paris-Est, 5 Bd Descartes, 77454 Marne-la-Vallée, Cedex 2
Université Paris-Est Créteil Val de Marne(UPEC) Faculté des Sciences et Technologie - Equipe de Biomécanique
61 avenue du général de Gaulle 94010 Créteil Cedex - France)
Abstract : A new scalar projection method presented for simulating incompressible flows with variable density is proposed. It reverses conventional projection algorithm by computing first the irrotational component of the velocity and then the pressure. The first phase of the projection is purely kine-matics. The predicted velocity field is subjected to a discrete Hodge-Helmholtz decomposition. The second phase of upgrade of pressure from the density uses Stokes' theorem to explicitly compute the pressure. If all or part of the boundary conditions is then fixed on the divergence free physical field, the system required to be solved for the scalar potential of velocity becomes a Poisson equation with constant coefficients fitted with Dirichlet conditions.
https://hal-upec-upem.archives-ouvertes.fr/hal-01172247
Contributor : Stéphane Vincent
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Submitted on : Thursday, July 9, 2015 - 9:55:35 AM
Last modification on : Thursday, July 18, 2019 - 4:36:06 PM
