A REGULARIZED STIFFENED-GAS EQUATION OF STATE

Jean-Michel Ghidaglia; Ahmed Amine Mrabet

doi:10.11948/2018.675

2018 Volume 8 Issue 3

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Jean-Michel Ghidaglia, Ahmed Amine Mrabet. A REGULARIZED STIFFENED-GAS EQUATION OF STATE[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 675-689. doi: 10.11948/2018.675

Citation:

Jean-Michel Ghidaglia, Ahmed Amine Mrabet. A REGULARIZED STIFFENED-GAS EQUATION OF STATE[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 675-689. doi: 10.11948/2018.675

A REGULARIZED STIFFENED-GAS EQUATION OF STATE

CMLA, ENS Cachan, CNRS, Université Paris-Saclay, 94235, Cachan, France

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Abstract

Abstract

An alternative to the stiffened-gas equation of state is proposed that corrects for unphysical behavior, namely the returning of negative pressure values for densities lower than the reference density. The question of generalizing a given isentropic equation of state is first addressed. Then, a regularized stiffened-gas equation of state is derived, which is the main goal of this work. Finally, the use of the new equation of state is briefly illustrated for a classical computational fluid dynamics benchmark concerning the evaluation of liquid impact on a wall.
- Stiffened-gas /
- equation of state /
- computational fluid dynamics /
- slightly compressible fluid
MSC: 76Nxx;80A17;35Q79

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References

[1]	ANSYS, ANSYS Fluent User's Guide:Release 15.0, Canonsburg, 2013. Google Scholar
[2]	M. Bernard, S. Dellacherie, G. Faccanoni, B. Grec, Y. Penel, Study of a low Mach nuclear core model for two-phase flows with phase transition I:stiffened gas law, ESAIM:Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48, 1639-1679. Google Scholar
[3]	J. P. Braeunig, L. Brosset, F. Dias and J. M. Ghidaglia, Phenomenological study of liquid impacts through 2D compressible two-fluid numerical simulations, in Proceedings of the 19th (2009) International Offshore and Polar Engineering Conference, 2009, 21-29. Google Scholar
[4]	J. P. Braeunig, B. Desjardins et J. M. Ghidaglia, A totally Eulerian finite volume solver for multi-material fluid flows, European Journal of MechanicsB/Fluids, 2009, 28(4), 475-485. Google Scholar
[5]	J. P. Cocchi and R. Saurel, A Riemann problem based method for the resolution of compressible multimaterial flows, J. Comput. Phys., 1997, 137, 265-298. Google Scholar
[6]	J. Costes, J. M. Ghidaglia, A. A. Mrabet, On the simulation of liquid impacts on a flat rigid wall by a 2D parallel finite volume solver, Twenty-fourth International Ocean and Polar Engineering Conference, 2014, 246-56. Google Scholar
[7]	R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Springer, New-York, 1976. Google Scholar
[8]	F. Dias, J. M. Ghidaglia, Slamming:Recent progress in the evaluation of impact pressures, Annual Review of Fluid Mechanics, 50:1, doi:10.1146/annurev-fluid-010816-060121, in press, 2018. Google Scholar
[9]	F. Harlow and A. Amsden, Fluid Dynamics, Monograph LA-4700, Los Alamos National Laboratory, Los Alamos, NM, 1971. Google Scholar
[10]	C. Labourdette, J. M. Ghidaglia, J. A. Redford, S. Faure, Accurate state variables for fluid flow simulation using Quicksteam and Quickmethane, Eur. J. Mech. B-Fluid, 2017, 65, 132-140. Google Scholar
[11]	A. A. Mrabet, Accélérations algorithmiques pour la simulation numérique d'impacts de vagues. Modèles de type "roofline" pour la performance des processeurs, application à la CFD, PhD Thesis, ENS Paris-Saclay, France, 2018. Google Scholar
[12]	G. Oger, L. Brosset, P. M. Guilcher, E. Jacquin, J. B. Deuff, D. Le Touzé, Simulations of hydro-elastic impacts using a parallel SPH model, International Offshore and Polar Engineering Conference, 2009, 21-29. Google Scholar
[13]	OpenFOAM, Open Foam User Guide:Version 3.0.1, Reading, 2015. Google Scholar
[14]	R. Saurel and R. Abgrall, A simple method for compressible multifluid flows, SIAM J. Sci. Comput., 1999, 21(3), 1115-1145. Google Scholar