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Simulation of Free Surface Compressible Flows Via a Two Fluid Model

Abstract

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.
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Dates and versions

hal-00258161 , version 1 (21-02-2008)
hal-00258161 , version 2 (14-03-2008)

Licence

Attribution - NonCommercial - ShareAlike

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Frédéric Dias, Denys Dutykh, Jean-Michel Ghidaglia. Simulation of Free Surface Compressible Flows Via a Two Fluid Model. ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering, Jun 2008, Estoril, Portugal. pp.43-50, ⟨10.1115/OMAE2008-57060⟩. ⟨hal-00258161v2⟩
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