, On the solution to the riemann problem for the compressible duct ow Modélisation de la combustion des propergols aluminisés, SIAM Journal of Applied Mathematics, vol.64878901, issue.3, 1996.
, A model of composite solid-propellant combustion based on multiple flames, AIAA Journal, vol.8, issue.12, pp.2200-2207, 1970.
DOI : 10.2514/3.6087
, The combustion of solid monopropellants and composite propellants, Thirteenth Symposium (International) on Combustion The Combustion Institute, p.10471056, 1971.
DOI : 10.1016/S0082-0784(71)80103-0
, A sequel to a Rough Godunov Scheme : Application to Real Gases, Computers and Fluids, issue.7, p.29, 1996.
, Numerical modelling of turbulent compressible ows using second order models, 1996.
, A two-phase mixture theory for the deagration to detonation (DDT) transition in reactive granular materials, Int. J. Multiphase Flow, vol.12, issue.6, p.861889, 1986.
, Modélisation numérique d'écoulements multiphasiques pour des uides compressibles, non miscibles soumis aux eets capillaires, 2007.
, Solid Propellant Combustion Response : Quas-Steady (QSHOD) Theory Development and Validation, Progress in Astronautics and Aeronautics, p.607638, 2000.
, Quasi-steady combustion modeling of homogeneous solid propellants, Combustion and Flame, vol.103, issue.1-2, p.1126, 1995.
DOI : 10.1016/0010-2180(95)00075-H
, New paradigm for simplied combustion modeling of energetics solids : Branched chain gas reaction, 33 rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, pp.97-3333, 1997.
, Simplied combustion modeling of double base propellant : gas phase chain reaction vs. Thermal decomposition, Combustion Science and Technology, vol.154, p.130, 2000.
, MOBIDIC" : a french interior ballistics code based on a two-phase ow model, 6th International Symposium on Ballistics, 1981.
, Sur l'évolution des modèles de Balistique Intérieure de Paul Vieille à nos jours, et leur validation sur diverses armes, des pistolets au canon de Jules Verne, 3èmes Journées Scientiques Paul Vieille, 2000.
, A numerical method using upwind schemes for the resolution of two-phase ows, J. Comput. Phys, vol.136, issue.2, p.272288, 1997.
, Finite Volume Algorithm to Compute Compressible Gas-Solid Flows, AIAA Journal, vol.37, issue.3, p.337345, 1999.
, Conduction of Heat in Solids, 1959.
, A wellbalanced scheme for the approximation of the shallowwater equations with topography : the resonance phenomenon, International Journal of Finite Volumes, vol.1, issue.1, p.127, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00017378
, Simulation numérique d'écoulements gaz-particules sur maillage non structuré, 1997.
, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, J. Di. Eqs, vol.14, p.202212, 1973.
, A simplied model of unstable burning in solid propellants, ARS Journal, issue.8, p.3111121122, 1961.
, Boundary conditions for nonlinear hyperbolic systems of conservation laws [Dub01] F. Dubois. Partial riemann problem, boundary conditions and gas dynamics, Absobing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations, pp.93122-1677, 1988.
, Analysis of heat and mass transfer, 1972.
, Fluid ow through packed columns, Chem. Eng. Prog, vol.48, p.8996, 1952.
, Solveur de type Godunov pour simuler les ??coulements turbulents compressibles, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.324, issue.8, p.919926, 1997.
DOI : 10.1016/S0764-4442(97)86969-8
, Existence theory for non linear hyperbolic systems in nonconservative form, Pub. Ecole Polytechnique -Centre de Mathématiques Appliquées, 1992.
, Entropy weak solutions ton non linear hyperbolic systems under nonconservative form Heat Transfer in uidized beds, Commun. Partial Di. Equations, vol.13, issue.6, p.669727, 1971.
, A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.36, issue.6, p.11331159, 2003.
DOI : 10.1051/m2an:2003009
, Numerical modeling of two-phase ows using the two-uid two-pressure approach, Math. Models Methods Appl. Sci, vol.14, issue.5, p.663700, 2004.
, Numerical Simulation of Solid Motor Ignition Transient, 5th International Symposium on Special Topics in Chemical Propulsion : Combustion of Energetic Material, 2000.
, Multiphase Flow and Fluidization, 1994.
, Multicomponent Flow Modeling Guillard and M. Labois. Numerical modelling of compressible two-phase ows, European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006, 1999.
, Un schéma de Godunov approché, C.R. Acad
, A dierence method for numerical calculation of discontinuous equations of hydrodynamics, Math. Sbornik, issue.89, p.47271300, 1959.
, Application of Integral Methods to Transient Nonlinear Heat Transfer, JR Advances in Heat Transfer, p.52122, 1964.
, Modeling of two-phase ows in guns, p.176196, 1979.
, Hyperbolic systems of conservation laws. coll, 1991.
URL : https://hal.archives-ouvertes.fr/hal-00113734
, Numerical approximation of hyperbolic systems of conservation laws, of Applied Mathematical Sciences, 1996.
DOI : 10.1007/978-1-4612-0713-9
, Mathematical and numerical modelling of two-phase compressible ows with inertia, J. Comp. Phys, vol.175, issue.1, p.326360, 2002.
, Mechanics of collisional motion of granular materials. Part 3. self similar shock wave propagation, Journal of Fluid Mechanics, vol.316, p.2951, 1996.
, Two phase ow modelling of a uid mixing layer, Journal of Fluid Mechanics, vol.378, p.119143, 1999.
, Modeling of heterogenous two-phase ow, p.1725, 1979.
, A non-strictly hyperbolic system to describe compressible turbulence, HH85] R. Heiser and D. Hensel. AMI : Ein achsensymmetrisches Modell der Innenballistik . Rapport technique 502, 1985.
, AMI : a general gasdynamic model of internal ballistics of guns, 3rd Anglo-American Meeting on International Ballistics Information Exchange, 1986.
, A Relaxation Method to Compute Two-Fluid Models, 2005.
, On upstream dierencing and godunovtype schemes for hyperbolic conservation laws, Hér95] J.M. Hérard. Solveur de Riemann approché pour pour un système hyperbolique non conservatif issu de la turbulence compressible, p.3561, 1983.
, Couplage interfacial instationnaire de modèles diphasiques, 2006.
, Fundamentals of Heat and Mass Transfer, 2002.
, Three dimensionnal ames supported by heterogeneous propellants, Proceedings of the Combustion Institute, 2000.
DOI : 10.1016/s0082-0784(00)80295-7
, Unsteady combustion modelling of energetic solids, revisited. Combustion Theory Modelling Étude de l'inuence des charges propulsives à haute densité de chargement, p.513532, 2004.
, Basic Heat Transfer, p.136191, 1959.
, Reaction kinetics in dierential thermal analysis, Analytical Chemistry, vol.29, issue.11, p.17021706, 1957.
, Two-phase modeling of deagration-to-detonation transition in granular materials : reduced equations, Physics of Fluids, issue.10, p.1330023024, 2001.
, Nichtstationäre Rohrströmungen mit Verbrennung Rapport r118, 1983.
, Van Tassel. Flame Spreading and Combustion in packed beds of propellant grains, AIAA Journal, vol.14, issue.3, p.301309, 1976.
, Two-phase modeling of DDT : Structure of the velocity-relaxation zone, Phys. Fluids, issue.12, p.938853897, 1997.
, Propellants and Explosives Modélisation, analyse mathématique et numérique des modèles biuides d'écoulements diphasiques, 1993.
, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, CBMS Regional Conf. Ser. In Appl. Math. 11, 1972.
, Allumage des propergols solides, La Recherche Aérospatiale, vol.2, p.120, 1991.
, Steady-state burning of homogeneous propellants, 1984.
, La combustion des propergols solides, AGARD Lecture Series, number 180, 1991.
, Physico-Chemical Mechanisms of Solid Propellant Combustion, 2000.
, Shock waves for nonlinear hyperbolic systems in non-conservative form [Len70] G. Lengellé. Thermal degradation kinetics and surface pyrolysis of vinyl polymers, Institute for Math. Appl. AIAA Journal, vol.8, 1970.
, Modeling and Numerical Simulation of Combustion Process Inside a Solid-Propellant Crack, Propellants, Explosives, Pyrotechnics, vol.19, p.217226, 1994.
, Modélisation numérique de la turbulence compressible, 1995.
, Numerical modeling of explosives and propellants, 1998.
, Quelques méthodes numériques pour les écoulements diphasiques bi-uides en conduites pétrolières, 1997.
, On a rough Godunov scheme, International Journal of Computational Fluid, vol.12, p.133149, 1999.
, Denition and weak stability of non conservative products, J. Math. Pures Appl, vol.74, p.483548, 1995.
, Thermal decomposition and combustion of explosives and propellants, 2003.
, Powder ignition modelling in interior ballistic problem, 21st Int. Colloquium on the Dynamics of Explosives and Reactive Systems, 2007.
, Numerical simulations of gas-particle ows with combustion, Journal of Flow, Turbulence and Combustion, vol.76, issue.4, p.403417, 2006.
, Numerical simulations of reactive two-phase gas-particle ows, 2007.
, Ignition of double-base propellant in a hot stagnation-point ow, Combustion and Flame, vol.35, p.8187, 1979.
, Theoretical study of ignition process, 2006.
, Tâche 9 : anage des modèles d'allumage et de combustion, 2007.
, A new Method of analyzing thermogravimetric data, Combustion and Flame, vol.35, p.8187, 1965.
, Ignition of Solid Propellants, p.120, 1964.
, The starting transient of solid-propellant rocket motors with high internal gas velocities, 8th Joint Propulsion Specialist Conference, p.17191727, 1973.
DOI : 10.2514/6.1972-1119
, Modélisation de la phase d'allumage d'une charge propulsive en balistique intérieure, 1988.
, Numerical investigations for modeling interior ballistics two-phase ow, European Forum on Ballistics of Projectiles, 2000.
, Approximate Riemann solvers, parameter vectors, and dierence schemes, Journal of Computational Physics, vol.43, issue.2, p.357372, 1981.
, A multiphase Godunov method for compressible multiuid and multiphase ows, J. Comp. Phys, vol.150, p.425467, 1999.
, A simple method for compressible multiuid ows Contribution à la modélisation mathématique et numérique des écoulements diphasiques constitués d'un nuage de particules dans un écoulement de gaz Traveling-wave solutions of convection-diusion systems in nonconservative form, Thèse d'habilitationSai96] L. Sainsaulieu, p.1115114512861310, 1995.
, An approximate linearized Riemann solver for a two-uid model Riemann solvers and numerical methods for uid dynamics [Tou89] I. Toumi. Etude du problème de Riemann et construction de schémas type Godunov multidimensionnels pour des modèles d'écoulements diphasiques The interaction of thermal radiation and M- 2 double base solid propellant Radiative ignition and extinction dynamics of energetic solids The numerical simulation of two-dimensionnal uid with strong shocks, Vie93] P. Vieille. Etude sur le mode de combustion des substances explosives, 1893. [WBT05, p.2863005966257265115173, 1970.
, Comparisons of internal ballistics simulations of the agard gun, 22nd International Symposium on Ballistics, 2005.
, Comparisons of internal ballistics simulations of 40mm gun rings Quasi-steady gas-phase ame theory in unsteady burning of a homogeneous solid propellant, 23rd International Symposium on Ballistics, p.13281330, 1973.
, Comustion -Physical and chemical fundamentals, modeling and simulation, experiments, pollutant formation, 2006.