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.
- Ocean, Offshore and Arctic Engineering Division
Simulation of Free Surface Compressible Flows via a Two Fluid Model
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Dias, F, Dutykh, D, & Ghidaglia, J. "Simulation of Free Surface Compressible Flows via a Two Fluid Model." Proceedings of the ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. Volume 6: Nick Newman Symposium on Marine Hydrodynamics; Yoshida and Maeda Special Symposium on Ocean Space Utilization; Special Symposium on Offshore Renewable Energy. Estoril, Portugal. June 15–20, 2008. pp. 43-50. ASME. https://doi.org/10.1115/OMAE2008-57060
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