Modelling and numerical approximation for the nonconservative bitemperature Euler model, 2017. ,
The Physics of Intertial Fusion, 2004. ,
Classical Transport, volume 1 of Transport Processes in Plasmas, 1988. ,
Classical Transport, volume 2 of Transport Processes in Plasmas, 1988. ,
A Staggered Mesh Algorithm Using High Order Godunov Fluxes to Ensure Solenoidal Magnetic Fields in Magnetohydrodynamic Simulations, Journal of Computational Physics, vol.149, issue.2, pp.270-292, 1999. ,
DOI : 10.1006/jcph.1998.6153
On the Choice of Wavespeeds for the HLLC Riemann Solver, SIAM Journal on Scientific Computing, vol.18, issue.6, pp.1553-1570, 1997. ,
DOI : 10.1137/S1064827593260140
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.142, issue.01, pp.1-37, 2012. ,
DOI : 10.1017/S0308210510001009
A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes, SIAM Journal on Numerical Analysis, vol.50, issue.2, pp.468-491, 2012. ,
DOI : 10.1137/100814445
URL : https://hal.archives-ouvertes.fr/hal-01280691
An entropy preserving relaxation scheme for ten-moments equations with source terms, Communications in Mathematical Sciences, vol.13, issue.8, pp.2119-2154, 2015. ,
DOI : 10.4310/CMS.2015.v13.n8.a7
URL : https://hal.archives-ouvertes.fr/hal-01255069
Laser megajoule project and impact on the inertial fusion program, Fusion Engineering and Design, vol.46, issue.2-4, pp.457-460, 1999. ,
DOI : 10.1016/S0920-3796(99)00037-X
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems, Physical Review, vol.22, issue.3, pp.511-524, 1954. ,
DOI : 10.1121/1.1906652
A 3D finite volume scheme for the simulation of edge plasma in Tokamaks, ESAIM: Proceedings, pp.164-179, 2013. ,
DOI : 10.1051/proc/201343011
URL : https://hal.archives-ouvertes.fr/hal-01306960
Numerical Simulation and Optimal Control in Plasma Physics, Series in Applied Mathematics. Wiley and Gauthier-Villars, 1989. ,
Modélisation numérique par approximation fluide du plasma de bord des tokamaks (projet ITER), Ecole Doctorale en Sciences Fondamentales et Appliquées, 2012. ,
Finite volume method in curvilinear coordinates for hyperbolic conservation laws, ESAIM: Proceedings, pp.163-176, 2011. ,
DOI : 10.1051/proc/2011019
URL : https://hal.archives-ouvertes.fr/hal-00914822
Nonlinear Stability of Finite Volume Methods for hyperbolic Conservation Laws and Well-Balanced Schemes for Sources, Birkhäuser, 2004. ,
The Effect of Nonzero ??? ?? B on the numerical solution of the magnetohydrodynamic equations, Journal of Computational Physics, vol.35, issue.3, pp.426-430, 1980. ,
DOI : 10.1016/0021-9991(80)90079-0
Transport processes in a plasma, Reviews of Plasma Physics, vol.1, pp.205-311, 1965. ,
An upwind differencing scheme for the equations of ideal magnetohydrodynamics, Journal of Computational Physics, vol.75, issue.2, pp.400-422, 1988. ,
DOI : 10.1016/0021-9991(88)90120-9
Numerical methods for weakly ionized gas, Astrophysics and Space Science, vol.260, issue.1/2, pp.15-27, 1998. ,
DOI : 10.1023/A:1001870802972
La Fusion Thermonucléaire Inertielle par Laser, Partie 2, les Techniques Expérimentales et Numériques, 1993. ,
Node-pair finite volume/finite element schemes for the Euler equation in cylindrical and spherical coordinates, Journal of Computational and Applied Mathematics, vol.236, issue.18, pp.4827-4839, 2012. ,
DOI : 10.1016/j.cam.2012.02.006
Fluid equations and transport coefficients of plasmas, Modelling of collisions. Masson, 1997. ,
Hyperbolic Divergence Cleaning for the MHD Equations, Journal of Computational Physics, vol.175, issue.2, pp.645-673, 2002. ,
DOI : 10.1006/jcph.2001.6961
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.458.630
On Godunov-type methods near low densities, Hervé Guillard, and Afeintou Sangam. Bi-temperature Euler Equations Modeling for Fusion Plasma. Research Report RR-9026, pp.273-295, 1991. ,
DOI : 10.1016/0021-9991(91)90211-3
Simulation of magnetohydrodynamic flows - A constrained transport method, The Astrophysical Journal, vol.332, pp.659-677, 1988. ,
DOI : 10.1086/166684
Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states, Journal of Computational Physics, vol.228, issue.20, pp.7742-7770, 2009. ,
DOI : 10.1016/j.jcp.2009.07.015
A Constrained Transport Upwind Scheme for Divergencefree Advection, pp.529-538, 2003. ,
DOI : 10.1007/978-3-642-55711-8_49
Plasma physics: an introduction, 2014. ,
Plasma Physics and Fusion, 2007. ,
A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows, Computers & Fluids, vol.111, pp.159-178, 2015. ,
DOI : 10.1016/j.compfluid.2015.01.016
URL : https://hal.archives-ouvertes.fr/hal-01278892
A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction, Journal of Computational Physics, vol.229, issue.16, pp.5755-5787, 2010. ,
DOI : 10.1016/j.jcp.2010.04.019
URL : https://hal.archives-ouvertes.fr/inria-00453534
Numerical Approximation of Hyperbolic System of Conservation Laws, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
Advanced Magnetohydrodynamics: With Applications to Laboratory and Astrophysical Plasmas, 2010. ,
DOI : 10.1017/CBO9781139195560
Principles of Magnetohydrodynamics: With Applications to Laboratory and Astrophysical Plasmas, 2004. ,
DOI : 10.1017/CBO9780511616945
A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation, Journal of Computational Physics, vol.217, issue.2, pp.395-423, 2006. ,
DOI : 10.1016/j.jcp.2006.01.023
URL : https://hal.archives-ouvertes.fr/hal-00594856
Modélisation Numérique des Fluides Compressibles, Series in Applied Mathematics, 2001. ,
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, p.35, 1983. ,
DOI : 10.1137/1025002
The National Ignition Facility, Nuclear Fusion, vol.41, issue.5, pp.565-573, 2001. ,
DOI : 10.1088/0029-5515/41/5/309
NRL plasma formulary, Naval Research Laboratory, 2013. ,
DOI : 10.21236/ada469421
The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Communications on Pure and Applied Mathematics, vol.54, issue.3, pp.235-276, 1995. ,
DOI : 10.1007/978-3-0348-8629-1
Tokamak plasma, a complex physical system, 1993. ,
Mathematical Aspects of Numerical Solution of Hyperbolic Systems, 2001. ,
DOI : 10.1007/978-3-0348-8724-3_10
Some Criteria for a Power Producing Thermonuclear Reactor, Proceedings of the Physical Society. Section B, vol.70, issue.1, p.6, 1957. ,
DOI : 10.1088/0370-1301/70/1/303
Finite-Volume Methods for Hyperbolic Problems, 2004. ,
DOI : 10.1017/CBO9780511791253
Moment closure hierarchies for kinetic theories, Journal of Statistical Physics, vol.23, issue.5-6, pp.1021-1065, 1996. ,
DOI : 10.1007/978-1-4684-0447-0
The Gaussian Moment Closure for Gas Dynamics, SIAM Journal on Applied Mathematics, vol.59, issue.1, pp.72-96, 1996. ,
DOI : 10.1137/S0036139996299236
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.7696
A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry, Journal of Computational Physics, vol.228, issue.18, pp.6882-6915, 2009. ,
DOI : 10.1016/j.jcp.2009.06.018
URL : https://hal.archives-ouvertes.fr/inria-00372105
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems, SIAM Journal on Scientific Computing, vol.29, issue.4, pp.1781-1824, 2007. ,
DOI : 10.1137/050633019
URL : https://hal.archives-ouvertes.fr/inria-00113542
High-order conservative fonite difference GLM-MHD schemes for cell-centered MHD, Journal of Computational Physics, vol.229, issue.17, pp.5869-5920, 2010. ,
DOI : 10.1016/j.jcp.2010.04.013
URL : http://arxiv.org/pdf/1001.2832
Simulation of Kelvin Helmholtz Instability in resistive plasmas, Geophysical Research Letters, vol.91, issue.24, pp.3667-3670, 1996. ,
DOI : 10.1029/JA091iA03p03042
A multi-state HLL approximate Riemann solver for ideal magneto-hydrodynamics, Journal of Computational Physics, vol.208, issue.1, pp.314-344, 2005. ,
DOI : 10.1016/j.jcp.2005.02.017
Ultrahigh???Intensity Lasers: Physics of the Extreme on a Tabletop, Physics Today, vol.76, issue.1, p.22, 1998. ,
DOI : 10.1103/PhysRevLett.76.3116
Divergence Correction Techniques for Maxwell Solvers Based on a Hyperbolic Model, Journal of Computational Physics, vol.161, issue.2, pp.484-511, 2000. ,
DOI : 10.1006/jcph.2000.6507
Plasma Physics, Basic Theory with Fusion Applications . Springer Series on Atoms And Plasmas, 2000. ,
An Introduction to Inertial Confinement Fusion. Taylor and Francis Group, 2006. ,
DOI : 10.1201/9781420011845
An Approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), Centrum voor Wiskunde en Informatica (CWI). Amsterdam (NL), 1994. ,
DOI : 10.1007/978-3-642-60543-7_23
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.211.5157
A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics, 68] P. Savioni. M2 Plasmas : de l'Espace au Laboratoire : IntroductionàIntroductionà la physique des plasmas, pp.284-309, 1999. ,
DOI : 10.1006/jcph.1999.6299
Mathematical Models and Methods for Plasma Physics, 2014. ,
DOI : 10.1007/978-3-319-03804-9
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws, Journal of Computational Physics, vol.27, issue.1, pp.1-31, 1978. ,
DOI : 10.1016/0021-9991(78)90023-2
Euler Potentials, American Journal of Physics, vol.38, issue.4, pp.494-501, 1970. ,
DOI : 10.1119/1.1976373
Ignition and high gain with ultrapowerful lasers*, Physics of Plasmas, vol.2, issue.5, p.1626, 1994. ,
DOI : 10.1016/0030-4018(85)90120-8
Riemann Solvers and Numerical Methods for Fluids Dynamics, A Practical Introduction, 1999. ,
DOI : 10.1007/978-3-662-03915-1
Restoration of the contact surface in the HLL-Riemann solver, Shock Waves, vol.54, issue.1, pp.25-34, 1994. ,
DOI : 10.1007/BF01414629
The ?????B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes, Journal of Computational Physics, vol.161, issue.2, pp.605-652, 2000. ,
DOI : 10.1006/jcph.2000.6519
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, Journal of Computational Physics, vol.32, issue.1, p.101, 1979. ,
DOI : 10.1016/0021-9991(79)90145-1
Godunov-type schemes for hydrodynamic and magnetohydrodynamic modeling, Ecole Doctorale en Sciences Fondamentales et Appliquées, 2014. ,
URL : https://hal.archives-ouvertes.fr/tel-01120876
On vertex-centered unstructured finite-volume methods for stretched anisotropic triangulations, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.35-36, pp.4733-4766, 2001. ,
DOI : 10.1016/S0045-7825(00)00345-5
URL : https://hal.archives-ouvertes.fr/inria-00073226
On the physics guidelines for a tokamak DEMO, Nuclear Fusion, vol.53, issue.7, p.53073019, 2013. ,
DOI : 10.1088/0029-5515/53/7/073019