Bibliography

Major publications by the team in recent years

1R. Abgrall, R. Saurel.

Discrete equations for physical and numerical compressible multiphase mixtures, in: Journal of Computational Physics, 2003, vol. 186, n^o 2, p. 361–396.

http://dx.doi.org/10.1016/S0021-9991(03)00011-1
2S. Gavrilyuk, N. Favrie, R. Saurel.

Modeling wave dynamics of compressible elastic materials, in: Journal of Computational Physics, 2008, vol. 227, p. 2941–2969.

http://dx.doi.org/10.1016/j.jcp.2007.11.030
3S. Gavrilyuk, R. Saurel.

Mathematical and numerical modeling of two-phase compressible flows with micro-inertia, in: Journal of Computational Physics, 2002, vol. 175, n^o 1, p. 326–360.

http://dx.doi.org/10.1006/jcph.2001.6951
4H. Guillard, F. Duval.

A Darcy law for the drift velocity in a two-phase model, in: J. Comput. Phys., 2007, vol. 224, p. 288–313.

http://dx.doi.org/10.1016/j.jcp.2007.02.025
5M.-H. Lallemand, A. Chinnayya, O. Le Métayer.

Pressure relaxation procedures for multiphase compressible flows, in: Int. J. Numer. Meth. Fluids, 2005, vol. 49, n^o 1, p. 1–56.

http://dx.doi.org/10.1002/fld.967
6O. Le Métayer, J. Massoni, R. Saurel.

Modelling evaporation fronts with reactive Riemann solvers, in: Journal of Computational Physics, 2005, vol. 205, n^o 2, p. 567–610.

http://dx.doi.org/10.1016/j.jcp.2004.11.021
7R. Saurel, R. Abgrall.

A Multiphase Godunov method for compressible Multifluid and Multiphase flows, in: Journal of Computational Physics, 1999, vol. 150, p. 425–467.

http://dx.doi.org/10.1006/jcph.1999.6187
8R. Saurel, S. Gavrilyuk, F. Renaud.

A multiphase model with internal degree of freedom : Application to shock bubble interaction, in: Journal of Fluid Mechanics, 2003, vol. 495, p. 283-321.

http://dx.doi.org/10.1017/S002211200300630X
9R. Saurel, F. Petitpas, Rémi. Abgrall.

Modeling phase transition in metastable liquids. Application to flashing and cavitating flows, in: Journal of Fluid Mechanics, 2008, vol. 607, p. 313–350.

http://dx.doi.org/10.1017/S0022112008002061

Publications of the year

Doctoral Dissertations and Habilitation Theses

10L. Munier.

Simulations expérimentales et numériques des effets retardés d'une explosion en milieu clos et en présence de produits liquides, Aix-Marseille University, December 11th 2011.
11J. Verhaegen.

Modélisation multiphasique d'écoulements et de phénomènes de dispersion issus d'explosion, Aix-Marseille University, April 15th 2011.

Articles in International Peer-Reviewed Journal

12A. Chauvin, G. Jourdan, É. Daniel, L. Houas, R. Tosello.

Experimental investigation of the propagation of a planar shock wave through a two-phase gas-liquid medium, in: Physics Of Fluids, 2011, vol. 23.

http://dx.doi.org/10.1063/1.3657083
13N. Favrie, S. Gavrilyuk.

Diffuse interface model for compressible fluid - compressible elastic-plastic solid interaction, in: Journal of Computational Physics, 2011, accepted.

http://dx.doi.org/10.1016/j.jcp.2011.11.027
14N. Favrie, S. Gavrilyuk.

Dynamics of shock waves in elastic-plastic solids, in: ESAIM Proceedings, 2011, vol. 33, p. 50–67, to appear.
15N. Favrie, S. Gavrilyuk.

Mathematical and numerical model for nonlinear viscoplasticity, in: Philosophical Transactions of the Royal Society A, 2011, vol. 369, p. 2864–2880.

http://dx.doi.org/10.1098/rsta.2011.0099
16A. Forestier, S. Gavrilyuk.

Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law, in: Mathematical Methods in the Applied Sciences, 2011, vol. 34, p. 2148–2158.

http://dx.doi.org/10.1002/mma.1512
17S. Hank, R. Saurel, O. Le Métayer.

A hyperbolic Eulerian model for dilute two-phase suspensions, in: Journal of Modern Physics, 2011, vol. 2, p. 997–1011.

http://dx.doi.org/10.4236/jmp.2011.29120
18O. Le Métayer, A. Massol, N. Favrie, S. Hank.

A discrete model for compressible flows in heterogeneous media, in: Journal of Computational Physics, 2011, vol. 230, p. 2470–2495.

http://dx.doi.org/10.1016/j.jcp.2010.12.020
19R. Menina, R. Saurel, M. Zereg, L. Houas.

Modelling gas dynamics in 1D ducts with abrupt area change, in: International Journal of Shock Waves, 2011, vol. 21, p. 451–466.

http://dx.doi.org/10.1007/s00193-011-0321-3
20F. Petitpas, R. Saurel, B.K. Ahn, S. Ko.

Modelling cavitating flow around underwater missiles, in: International Journal of Naval Architecture and Ocean Engineering, 2011, accepted.
21G. Richard, S. Gavrilyuk.

A new model of roll waves: comparison with Brock's experiments, in: Journal of Fuid Mechanics, 2011, submitted.

Scientific Books (or Scientific Book chapters)

22F. Dell'Isola, S. Gavrilyuk.

Variational Models and Methods in Solid and Fluid Mechanics, CISM Courses and Lectures, Springer, Wien, New York, 2012, vol. 535.

References in notes

23M. Baer, J. Nunziato.

A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials., in: Int. J. of Multiphase Flows, 1986, vol. 12, p. 861–889.
24A. Chinnayya, É. Daniel, R. Saurel.

Modelling detonation waves in heterogeneous energetic materials, in: Journal of Computational Physics, 2004, vol. 196, p. 490–538.

http://dx.doi.org/10.1016/j.jcp.2003.11.015
25G. Dalmaso, P. LeFloch, F. Murat.

Definition and weak stability of non-conservative products, in: Journal de Mathématiques Pures et Appliquées, 1995, vol. 74, n^o 6, p. 483–548.
26N. Favrie.

Un modèle d'interfaces diffuses pour l'interaction solide–fluide dans le cas des grandes déformations, Université de Provence, December 1rst, 2008.
27N. Favrie, S. Gavrilyuk, R. Saurel.

Solid-fluid diffuse interface model in cases of extreme deformations, in: Journal of Computational Physics, 2009, vol. 228, n^o 16, p. 6037–6077.

http://dx.doi.org/10.1016/j.jcp.2009.05.015
28R.P. Fedkiw, T. Aslam, B. Merriman, S. Osher.

A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost-Fluid Method), in: Journal of Computational Physics, 1999, vol. 152, p. 457–492(36).

http://www.ingentaconnect.com/content/ap/cp/1999/00000152/00000002/art06236
29S. Gavrilyuk, R. Saurel.

Estimation of the turbulent energy production across a shock wave, in: Journal of Fluid Mechanics, 2006, vol. 549, p. 131–139.

http://dx.doi.org/10.1017/S0022112005008062
30S. Gavrilyuk, R. Saurel.

Rankine-Hugoniot relations for shocks in heterogeneous mixtures, in: Journal of Fluid Mechanics, 2007, vol. 575, p. 495–507.

http://dx.doi.org/10.1017/S0022112006004496
31H. Guillard, M. Labois, M. Grandotto.

A five-equation dissipative model for two-phase flows, in: 5th International Symposium on Finite Volumes for Complex Applications. - Problems and Perspectives, HERMES, 2008.
32H. Guillard, A. Murrone.

On the behavior of upwind schemes in the low Mach number limit : II. Godunov type schemes, in: Computers and Fluids, 2004, vol. 33, n^o 4, p. 655–675.
33H. Guillard, C. Viozat.

On the behaviour of upwind schemes in the low Mach number limit, in: Computers and Fluids, 1999, vol. 28, n^o 1, p. 63–86.

http://dx.doi.org/10.1016/S0045-7930(98)00017-6
34T.Y. Hou, P. LeFloch.

Why non-conservative schemes converge to the wrong solution: Error analysis, in: Math. of Comput., 1994, vol. 62, p. 497–530.
35A. Kapila, R. Menikoff, J. Bdzil, S. Son, D. S. Stewart.

Two-phase modeling of DDT in granular materials : reduced equations., in: Physics of Fluids, 2001, vol. 13, n^o 10, p. 3002–3024.

http://dx.doi.org/10.1063/1.1398042
36S. Karni.

Multicomponent Flow Calculations by a Consistent Primitive Algorithm, in: Journal of Computational Physics, 1994, vol. 112, p. 31–43.

http://dx.doi.org/10.1006/jcph.1994.1080
37S. Karni.

Hybrid Multifluid Algorithms, in: SIAM Journal of Scientific Computing, 1996, vol. 17, n^o 5, p. 1019–1039.

http://dx.doi.org/10.1137/S106482759528003X
38T. Kloczko.

Concept, architecture and performance study for a parallel code in CFD, in: 20th International Conference on Parallel Computational Fluid Dynamics, Lyon (France), May 19–22 2008.
39M. Labois.

Modélisation des déséquilibres mécaniques dans les écoulements diphasiques : approches par relaxation et par modèle réduit, Université de Provence, October 31rst, 2008.

http://tel.archives-ouvertes.fr/docs/00/33/88/18/PDF/these_Mathieu_Labois_2008.pdf
40G. Perigaud, R. Saurel.

A compressible flow model with capillary effects, in: Journal of Computational Physics, 2005, vol. 209, p. 139–178.

http://dx.doi.org/10.1016/j.jcp.2005.03.018
41F. Petitpas, R. Saurel, E. Franquet, A. Chinnayya.

Modelling detonation waves in condensed energetic materials : Multiphase CJ conditions and multidimensional computations, in: Shock Waves, 2009, vol. 19, n^o 5, p. 377–401.

http://dx.doi.org/10.1007/s00193-009-0217-7
42R. Saurel, R. Abgrall.

A simple method for compressible multifluid flows, in: SIAM J. Sci. Comp., 1999, vol. 21, n^o 3, p. 1115–1145.
43R. Saurel, F. Petitpas, R. A. Berry.

Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, in: Journal of Computational Physics, 2009, vol. 228, n^o 5, p. 1678–1712.

http://dx.doi.org/10.1016/j.jcp.2008.11.002
44R. Saurel, O. Le Métayer, J. Massoni, S. Gavrilyuk.

Shock jump relations for multiphase mixtures with stiff mechanical relaxation, in: International Journal of Shock Waves, 2007, vol. 16, n^o 3, p. 209–232.

http://dx.doi.org/10.1007/s00193-006-0065-7
45L. Schwartz.

Sur l'impossibilité de la multiplication des distributions, in: C.R.A.S. Paris, 1954, vol. I-239, p. 847–848.
46D. Serre.

Sur le principe variationnel des équations de la mécanique des fluides compressibles, in: M2AN, 1993, vol. 27, n^o 6, p. 739–758.
47H. Stewart, B. Wendroff.

Two-phase flow : Models and methods, in: Journal of Computational Physics, 1984, vol. 56, p. 363–409.

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