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.
Cite
@article{arxiv.0802.3013,
title = {Simulation of Free Surface Compressible Flows Via a Two Fluid Model},
author = {Frederic Dias and Denys Dutykh and Jean-Michel Ghidaglia},
journal= {arXiv preprint arXiv:0802.3013},
year = {2020}
}
Comments
8 pages, 10 figures; OMAE2008, 27th International Conference on Offshore Mechanics and Arctic Engineering. Other authors papers and animations related to this work can be downloaded from: http://www.cmla.ens-cachan.fr/fileadmin/Membres/dutykh/ The paper was slightly modified according to referees comments