A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equations, Monthly Weather Review, vol.109, issue.1, pp.18-36, 1981. ,
DOI : 10.1175/1520-0493(1981)109<0018:APEAEC>2.0.CO;2
Multidimensional Hyperbolic Partial Differential Equations . First-order Systems and Applications, 2007. ,
Multifluid Flows: A Kinetic Approach, Journal of Scientific Computing, vol.33, issue.1 ,
DOI : 10.1007/s10915-015-0044-1
URL : https://hal.archives-ouvertes.fr/hal-01158016
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws, Journal of Statistical Physics, vol.95, issue.1/2, pp.113-170, 1999. ,
DOI : 10.1023/A:1004525427365
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Frontiers in Mathematics. Birkhauser, 2000. ,
Relaxation approximation of the Euler equations, Journal of Mathematical Analysis and Applications, vol.348, issue.2, pp.872-893, 2008. ,
DOI : 10.1016/j.jmaa.2008.07.034
Numerical Passage from Kinetic to Fluid Equations, SIAM Journal on Numerical Analysis, vol.28, issue.1, pp.26-42, 1991. ,
DOI : 10.1137/0728002
Kinetic theory based new upwind methods for inviscid compressible flows, 24th Aerospace Sciences Meeting, pp.86-0275, 1986. ,
DOI : 10.2514/6.1986-275
On the Maxwellian distribution, symmetric form and entropy conservation for the Euler equations, 1986. ,
Convergence of approximate solutions to conservation laws, Arch. Rat. Mech. Anal, vol.82, pp.27-70, 1983. ,
Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics, Commun. Math. Phys, vol.121, pp.63-84, 1989. ,
Boundary conditions for nonlinear hyperbolic systems of conservation laws, Journal of Differential Equations, vol.71, issue.1, pp.93-122, 1988. ,
DOI : 10.1016/0022-0396(88)90040-X
Short notes: Kinetic energy control in explicit finite volume discretizations of the incompressible and compressible Navier?Stokes equations, Int. J. Finite, vol.7, issue.2, p.2010 ,
Staggered discretizations, pressure correction schemes and all speed barotropic flows, Finite Volumes for Complex Applications VI, Problems and Perspectives, pp.839-855, 2011. ,
DOI : 10.1007/978-3-642-20671-9_86
URL : https://hal.archives-ouvertes.fr/hal-00576246
Abstract, Communications in Computational Physics, vol.209, issue.04, pp.955-980, 2012. ,
DOI : 10.1016/S0021-9991(95)90034-9
Staggered schemes for all speed flows, Actes du Congrès National de Mathématiques Appliquées et Industrielles, pp.122-150, 2012. ,
DOI : 10.1051/proc/201235008
URL : https://hal.archives-ouvertes.fr/hal-00636173
Consistent explicit staggered schemes for compressible flows; part I: the barotropic Euler equations, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00821069
Dissipative issue of high-order shock capturing schemes with non-convex equations of state, Journal of Computational Physics, vol.228, issue.3, pp.833-860, 2009. ,
DOI : 10.1016/j.jcp.2008.10.005
Self-similar shocks in a dusty gas, International Journal of Non-Linear Mechanics, vol.34, issue.2, pp.313-327, 1999. ,
DOI : 10.1016/S0020-7462(98)00035-3
Approximation of the hydrodynamic equations by a transport process, Proceedings of IUTAM Symposium on Approximation Methods for Navier-Stokes Problems, 1980. ,
DOI : 10.1007/BFb0086912
Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws, SIAM Journal on Scientific Computing, vol.29, issue.6, pp.2381-2401, 2007. ,
DOI : 10.1137/040614189
Numerical Stability for Some Equations of Gas Dynamics, Mathematics of Computation, vol.37, issue.156, pp.307-320, 1981. ,
DOI : 10.2307/2007428
A Sequel to AUSM: AUSM+, Journal of Computational Physics, vol.129, issue.2, pp.364-382, 1996. ,
DOI : 10.1006/jcph.1996.0256
A New Flux Splitting Scheme, Journal of Computational Physics, vol.107, issue.1, pp.23-39, 1993. ,
DOI : 10.1006/jcph.1993.1122
Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions, SIAM Journal on Numerical Analysis, vol.29, issue.1, pp.1-19, 1992. ,
DOI : 10.1137/0729001
Kinetic formulation of conservation laws. Oxford Lecture Series in Math. and its Appl, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01146188
Direct simulation methods for compressible inviscid ideal-gas flow, Journal of Computational Physics, vol.34, issue.2, pp.231-244, 1980. ,
DOI : 10.1016/0021-9991(80)90107-2
Hydrodynamic limits of the Boltzmann equation, Lect. Notes in Math, 1971. ,
The Possible Relation of the 3-KILOPARSEC Arm to Explosions in the Galactic Nucleus, The Astrophysical Journal, vol.188, pp.489-500, 1974. ,
DOI : 10.1086/152739
Systèmes de lois de conservation, 1996. ,
Riemann solvers and numerical methods for fluid dynamics. A practical introduction, 2009. ,
A method for the numerical calculation of hydrodynamic shocks, J. Appl. Phys, vol.21, pp.232-237, 1950. ,
The Riemann problem for materials with nonconvex equations of state I: Isentropic flow, Journal of Mathematical Analysis and Applications, vol.38, issue.2, pp.454-466, 1972. ,
DOI : 10.1016/0022-247X(72)90103-5
The numerical simulation of two-dimensional fluid flow with strong shocks, Journal of Computational Physics, vol.54, issue.1, pp.115-173, 1984. ,
DOI : 10.1016/0021-9991(84)90142-6