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Simulation of Free Surface Compressible Flows Via a Two Fluid Model
Frédéric Dias ( ) 1, 2, Denys Dutykh 1, 2, Jean-Michel Ghidaglia 1, 2
(2008-02-21)

The purpose of this communication is to discuss the simulation of a free surface compressible flow between two fluids, typically air and water. We use a two fluid model with the same velocity, pressure and temperature for both phases. In such a numerical model, the free surface becomes a thin three dimensional zone. The present method has at least three advantages: (i) the free-surface treatment is completely implicit; (ii) it can naturally handle wave breaking and other topological changes in the flow; (iii) one can easily vary the Equation of States (EOS) of each fluid (in principle, one can even consider tabulated EOS). Moreover, our model is unconditionally hyperbolic for reasonable EOS.
1:  Centre de Mathématiques et de Leurs Applications (CMLA)
CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan
2:  Laboratoire de recheche conventionné MESO (LRC MESO)
CEA – CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan
Physics/Mechanics/Mechanics of the fluids

Engineering Sciences/Mechanics/Fluids mechanics

Mathematics/Numerical Analysis

Physics/Physics/Fluid Dynamics

Physics/Physics/Computational Physics
Two-phase flows – finite volumes – wave impact
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