References
- Davis, S.F., 1988. Simplified second order Godunov type methods. SIAM Journal on Scientific and Statistical Computing, 9, 445-473 https://doi.org/10.1137/0909030
- Favrie, N. Gavrilyuk, S. and Saurel, R., 2008. Solid-fluid diffuse interface model in cases of extreme deformations. Journal of Computational Physics, 228(16), pp. 6037-6077.
- Fedkiw, R. Aslam, T. Merriman, B. and Osher, S., 1999. A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method). Journal of Computational Physics, 152(2) , pp 457-492. https://doi.org/10.1006/jcph.1999.6236
- Glimm, J. Grove, J.W. Li, X.L. Shyue, K.M. Zhang, Q. and Zeng, Y., 1998. Three dimensional front tracking. SIAM Journal on Scientific and Statistical Computing, 19, pp. 703-727. https://doi.org/10.1137/S1064827595293600
- Hirt, C.W. and Nichols, B.D., 1981. Volume Of Fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39, pp. 201-255. https://doi.org/10.1016/0021-9991(81)90145-5
- Hou, T.Y. and Le Floch, P., 1994. Why non-conservative schemes converge to the wrong solution: error analysis, Mathematics of Computation, 62, pp. 497-530. https://doi.org/10.1090/S0025-5718-1994-1201068-0
- Kapila A.K. Menikoff R. Bdzil J.B. Son S.F. and Stewart D.S., 2001. Two-phase modeling of deflagration-todetonation transition in granular materials : Reduced equations. Physics of Fluids, 13 (10), pp. 3002-3024. https://doi.org/10.1063/1.1398042
- Le Metayer, O. Massoni, J. and Saurel, R., 2004. Elaboration des lois d'etat d'un liquide et de sa vapeur pour les modeles d'ecoulements diphasiques. Int. J. Thermal Sciences, 43 (3), pp. 265-276. https://doi.org/10.1016/j.ijthermalsci.2003.09.002
- Le Metayer, O. Massoni, J. and Saurel, R., 2005. Modeling evaporation fronts with reactive Riemann solvers. Journal of Computational Physics, 205, pp 567-610. https://doi.org/10.1016/j.jcp.2004.11.021
- Miller, G.H. and Puckett, E.G., 1996. A High-Order Godunov Method for Multiple Condensed Phases. Journal of Computational Physics, 128(1), pp 134-164 https://doi.org/10.1006/jcph.1996.0200
- Noh, W.F. and Woodward, P., 1976. Simple line interface calculation. Proceedings of the fifth international conference on numerical methods in fluid dynamics, Vol. 59, pp. 330-340.
- Perigaud, G. and Saurel, R., 2005. A compressible flow model with capillary effects. Journal of Computational Physics, Vol. 209, pp 139-178. https://doi.org/10.1016/j.jcp.2005.03.018
- Petitpas, F. Massoni, J. Saurel, R. Lapebie, E. and Munier, L., 2009a. Diffuse interface model for high speed cavitating underwater systems. International Journal of Multiphase Flow, 35(8), pp. 747-759. https://doi.org/10.1016/j.ijmultiphaseflow.2009.03.011
- Petitpas, F. Saurel, R. Franquet, E. and Chinnayya, A., 2009b. Modelling detonation waves in condensed materials: Multiphase CJ conditions and multidimensional computations. Shock Waves, 19(5), pp. 377-401. https://doi.org/10.1007/s00193-009-0217-7
- Saurel, R. Cocchi, J.P. and Butler, P.B., 1999. Numerical study of cavitation in the wake of a hypervelocity underwater projectile. Journal of Propulsion and Power, 15(4), pp. 513 - 522. https://doi.org/10.2514/2.5473
- Saurel, R. and Abgrall, R., 1999. A multiphase Godunov method for multifluid and multiphase flows. Journal of Computational Physics, 150, pp 425-467 https://doi.org/10.1006/jcph.1999.6187
- Saurel, R. and Le Metayer, O., 2001. A multiphase model for interfaces, shocks, detonation waves and cavitation. Journal of Fluid Mechanics, Vol. 431, pp 239-271 https://doi.org/10.1017/S0022112000003098
- Saurel, R. Le Metayer, O. Massoni, J. and Gavrilyuk, S., 2007. Shock jump relations for multiphase mixtures with stiff mechanical relaxation . Shock Waves, 16(3), pp 209-232 https://doi.org/10.1007/s00193-006-0065-7
- Saurel, R. Petitpas, F. and Abgrall, R., 2008. Modeling phase transition in metastable liquids. Application to cavitating and flashing flows. Journal of Fluid Mechanics, 607:313-350
- Saurel, R. Petitpas, F. and Berry, R.A., 2009. Simple and efficient relaxation for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures. Journal of Computational Physics, 228, pp 1678-1712 https://doi.org/10.1016/j.jcp.2008.11.002
- Saurel, R. Favrie, N. Petitpas, F. Lallemand, M.H. and Gavrilyuk, S., 2010. Modeling dynamic and irreversible powder compaction. Journal of Fluid Mechanics, Vol. 664, pp. 348-396. https://doi.org/10.1017/S0022112010003794
- Toro, E.F. Spruce, M. and Spears, W., 1994. Restoration of the contact surface in the HLL-Riemann solver. Shock Waves, Vol. 4, pp. 25-34 https://doi.org/10.1007/BF01414629
- Von Neuman, J. and Richtmyer, R., 1950. A method for the numerical calculation of hydrodynamic shocks. Journal of Appl. Phys., Vol. 21, pp. 232-237 https://doi.org/10.1063/1.1699639
- Wood, A.B. (1930) A textbook of sound. Bell and Sons Ltd, London
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