In order to simulate numerically the physical behaviour of a free surface between two fluids, we have developped a compressible model, able to correctly reproduce sloshing at high Bond number (capillary forces neglectible). We will first present the model. It is composed of four equations in two space dimensions : two for each fluid mass conservation, and two for momemtum conservation. The gas and liquid phases are supposed to be compressible fluids following an isothermal linearized equation of state. A mechanical equilibrium relation closes the model (the equilibrium model). Relaxing this relation, we obtain a new model (the relaxation model) that is more adapted for numerical treatment. The second part of the paper is dedicated to the presentation of the numerical method that we used. We explain why it does not need a scheme for the volume fraction. In particular, there is no specific algorithm to localize the interface, as in VOF, Level-Set or Front Tracking methods. The last part of the paper is devoted to some validation results, compared to analytical solution or experimental data.
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ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
July 14–18, 2002
Montreal, Quebec, Canada
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3615-0
PROCEEDINGS PAPER
A Compressible Model for Separated Two-Phase Flows Computations
Guilhem Chanteperdrix,
Guilhem Chanteperdrix
ONERA, Toulouse, France
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Philippe Villedieu,
Philippe Villedieu
ONERA, Toulouse, France
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Jean-Paul Vila
Jean-Paul Vila
MIP, Toulouse, France
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Guilhem Chanteperdrix
ONERA, Toulouse, France
Philippe Villedieu
ONERA, Toulouse, France
Jean-Paul Vila
MIP, Toulouse, France
Paper No:
FEDSM2002-31141, pp. 809-816; 8 pages
Published Online:
February 24, 2009
Citation
Chanteperdrix, G, Villedieu, P, & Vila, J. "A Compressible Model for Separated Two-Phase Flows Computations." Proceedings of the ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. Volume 1: Fora, Parts A and B. Montreal, Quebec, Canada. July 14–18, 2002. pp. 809-816. ASME. https://doi.org/10.1115/FEDSM2002-31141
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