C. W. Hirt, A. A. Amsden, and J. L. Cook, An arbitrary Lagrangian-Eulerian computing method for all flow speeds, J. Comput. Phys, vol.14, pp.227-253, 1974.

D. Benson, Computational methods in Lagrangian and Eulerian hydrocodes, Comput. Methods Appl. Mech. Eng, vol.99, pp.235-394, 1992.

D. Youngs, The Lagrange-remap method, Implicit large Eddy simulation: Computing turbulent flow dynamics, 2007.

R. Poncet, M. Peybernes, T. Gasc, D. Vuyst, F. Joubert et al., Performance modeling of a compressible hydrodynamics solver on multicore CPUs, IOS Ebook: Parallel Computing: on the road to Exascale, Series "Advances in parallel computing, pp.449-458, 2016.

S. Williams, A. Waterman, and D. Patterson-roofline, An insightful visual performance model for multicore architectures, Commun. ACM, vol.52, pp.65-76, 2009.

J. Treibig and G. Hager, Introducing a performance model for bandwidth-limited loop kernels, Proceedings of the Workshop "Memory issues on Multi-and Manycore Platform, vol.6067, pp.615-624, 2009.

H. Stengel, J. Treibig, G. Hager, and G. Wellein, Quantifying performance bottlenecks of stencil computations using the Execution-Cache-Memory model, Proc. ICS'15, Proc. of the 29th ACM on Int. Conf. on Supercomputing, pp.978-979, 2015.

P. Colella and P. R. Woodward, The numerical simulation of two-dimensional fluid flow with strong shocks, J. Comput. Phys, vol.54, pp.115-173, 1984.

B. Després and C. Mazeran, Lagrangian gas dynamics in two dimensions and Lagrangian systems, Arch. Rational Mech. Anal, vol.178, pp.327-372, 2005.

M. Abgrall, R. Breil, J. Ovadia, and J. , A cellcentered Lagrangian scheme for compressible flow problems, SIAM J. Sci. Comput, vol.29, pp.1781-1824, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00334022

M. , A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes, J. Comput. Phys, vol.228, pp.2391-2425, 2009.

J. K. Dukowicz and J. R. Baumgardner, Incremental remapping as a transport/advection algorithm, J. Comput. Phys, vol.160, pp.318-335, 2000.

W. E. Schiesser, The Numerical Method of Lines, 1991.

E. F. Toro, Riemann solvers and numerical methods for fluid dynamics. A practical introduction, 2009.

M. S. Liou, A sequel to AUSM: AUSM+, J. Comput. Phys, vol.129, pp.364-382, 1996.

P. K. Sweby, High resolution schemes using flux-limiters for hyperbolic conservation laws, SIAM J. Numer. Anal, vol.21, pp.995-1011, 1984.

G. A. Sod, A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws, J. Comput. Phys, vol.27, pp.1-31, 1971.
URL : https://hal.archives-ouvertes.fr/hal-01635155

B. Després and F. Lagoutière, Contact discontinuity capturing schemes for linear advection and compressible gas dynamics, J. Sci. Comput, vol.16, pp.479-524, 2001.

B. Després, F. Lagoutière, E. Labourasse, and I. Marmajou, An antidissipative transport scheme on unstructured meshes for multicomponent flows, vol.7, pp.30-65, 2010.

D. Vuyst, F. Béchereau, M. Gasc, T. Motte, R. Peybernes et al., Stable and accurate low-diffusive interface capturing advection schemes, Proc. of the MULTIMAT 2015 Conference Würsburg, 2016.

J. S. Park and C. Kim, Multi-dimensional limiting process for discontinuous Galerkin methods on unstructured grids, Computational Fluid Dynamics, pp.978-981, 2010.

A. J. Rider and D. B. Kothe, Reconstructing volume tracking, J. Comput. Phys, vol.141, pp.112-152, 1998.

A. Bernard-champmartin, D. Vuyst, and F. , A low diffusive Lagrange-remap scheme for the simulation of violent air-water free-surface flows, J. Comput. Phys, vol.274, pp.19-49, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00798783

R. Abgrall, How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach, J. Comput. Phys, vol.125, pp.150-160, 1996.
URL : https://hal.archives-ouvertes.fr/inria-00074304

R. Saurel and R. Abgrall, A simple method for compressible multifluid flows, SIAM J. Sci. Comput, vol.21, pp.1115-1145, 1999.

C. Farhat, A. Rallu, and S. Shankaran, A higherorder generalized ghost fluid method for the poor for the three-dimensional two-phase flow computation of underwater implosions, J. Comput. Phys, vol.227, pp.7640-7700, 2008.

M. Bachmann, P. Helluy, J. Jung, H. Mathis, and S. Müller, Random sampling remap for compressible two-phase flows, Comput. Fluids, vol.86, pp.275-283, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00546919

R. Loubère, P. Maire, M. Shashkov, J. Breil, and S. Galera, ReALE: A reconnection-based arbitrary-LagrangianEulerian method, J. Comput. Phys, vol.229, pp.4724-4761, 2010.

F. D. Vuyst, T. Gasc, R. Motte, M. Peybernes, and R. Poncet, Lagrange-Flux Schemes: Reformulating Second-Order Accurate Lagrange-Remap Schemes for Better Node-Based HPC Performance, Oil Gas Sci. Technol, vol.71, p.64, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01958905