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Simulation of Free Surface Compressible Flows Via a Two Fluid Model (0802.3013v2)
Published 21 Feb 2008 in physics.comp-ph, cs.NA, math.NA, physics.ao-ph, and physics.flu-dyn
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.