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The scope of this work is to present and discuss the results obtained from simulating three-dimensional plunging breaking waves by solving the Navier-Stokes equations, in air and water, coupled with a dynamic subgrid scale turbulence model (Large Preprint submitted to Coastal Engineering 23 January 2006 ha l-0 02 94 09 2, v er si on 1 8 Ju l 2 00 8 Author… (More)

- Philippe Helluy, Frédéric Golay, +10 authors Olivier Allain
- 2005

This paper is devoted to the numerical simulation of wave breaking. It presents the results of a numerical workshop that was held during the conference LOMA04. The objective is to compare several mathematical models (compressible or incompressible) and associated numerical methods to compute the flow field during a wave breaking over a reef. The methods… (More)

- Philippe Angot, Jean-Paul Caltagirone, Pierre Fabrie
- Appl. Math. Lett.
- 2012

We present a new fast vector penalty-projection method (VPPε) to efficiently compute the solution of unsteady NavierStokes problems governing incompressible multiphase viscous flows with variable density and/or viscosity. The key idea of the method is to compute at each time step an accurate and curl-free approximation of the pressure gradient increment in… (More)

- Stéphane Vincent, Guillaume Balmigère, Jean-Paul Caltagirone, Erick Meillot
- J. Comput. Physics
- 2010

- Philippe Angot, Jean-Paul Caltagirone, Pierre Fabrie
- Appl. Math. Lett.
- 2012

- Stéphane Vincent, Arthur Sarthou, +4 authors Grégoire Pianet
- J. Comput. Physics
- 2011

The numerical simulation of the interaction between a free surface flow and a moving obstacle is considered for the analysis of hydroplaning flows. A new augmented Lagrangian method, coupled to fictitious domains and penalty methods, is proposed for the simulation of multiphase flows. The augmented Lagrangian parameter is estimated by an automatic analysis… (More)

We present a new fast vector penalty-projection method (VPPε ), issued from noticeable improvements of previous works [7, 3, 4], to efficiently compute the solution of unsteady Navier-Stokes/Brinkman problems governing incompressible multiphase viscous flows. The method is also efficient to solve anisotropic Darcy problems. The key idea of the method is to… (More)

- Etienne Ahusborde, Mejdi Azaïez, Jean-Paul Caltagirone
- J. Comput. Physics
- 2007

In 1999, Jean-Paul Caltagirone and Jérôme Breil have developed in their paper [Caltagirone, J. Breil, Sur une méthode de projection vectorielle pour la résolution des équations de Navier–Stokes, C.R. Acad. Sci. Paris 327(Série II b) (1999) 1179–1184] a new method to compute a divergence-free velocity. They have used the grad(div) operator to extract the… (More)

- Antoine Lemoine, Jean-Paul Caltagirone, Mejdi Azaïez, Stéphane Vincent
- J. Sci. Comput.
- 2015

- P. Trontin, Stéphane Vincent, Jean-Luc Estivalezes, Jean-Paul Caltagirone
- J. Comput. Physics
- 2012