Free access
Issue
ESAIM: M2AN
Volume 44, Number 2, March-April 2010
Page(s) 371 - 400
DOI http://dx.doi.org/10.1051/m2an/2010006
Published online 27 January 2010
  1. M.R. Baer and J.W. Nunziato, A two phase mixture theory for the deflagration to detonation transition (ddt) in reactive granular materials. Int. J. Multiph. Flow 16 (1986) 861–889. [CrossRef]
  2. F. Coquel, K. El Amine, E. Godlewski, B. Perthame and P. Rascle, A numerical method using upwind schemes for the resolution of two-phase flows. J. Comput. Phys. 136 (1997) 272–288. [CrossRef] [MathSciNet]
  3. F. Coquel, T. Gallouët, J.-M. Hérard and N. Seguin, Closure laws for a two-fluid two-pressure model. C. R. Math. Acad. Sci. Paris 334 (2002) 927–932. [CrossRef] [MathSciNet]
  4. T. Gallouët, J.-M. Hérard and N. Seguin, Numerical modeling of two-phase flows using the two-fluid two-pressure approach. Math. Models Methods Appl. Sci. 14 (2004) 663–700. [CrossRef] [MathSciNet]
  5. D. Gidaspow, Multiphase flow and fluidization – Continuum and kinetic theory descriptions. Academic Press Inc., Boston, USA (1994).
  6. E. Godlewski and P.-A. Raviart, Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences 118. Springer-Verlag, New York, USA (1996).
  7. A. Goldshtein, M. Shapiro and C. Gutfinger, Mechanics of colisional motion of granular materials. Part 3: Self similar shock wave propagation. J. Fluid Mech. 316 (1996) 29–51. [CrossRef]
  8. P.S. Gough, Modeling of two-phase flows in guns. AIAA 66 (1979) 176–196.
  9. V. Guillemaud, Modélisation et simulation numérique des écoulements diphasiques par une approche bifluide à deux pressions. Ph.D. Thesis, Université Aix-Marseille I, France (2007).
  10. A. Harten, P.D. Lax and B. Van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 35–61. [CrossRef] [MathSciNet]
  11. J.-M. Hérard and O. Hurisse, A simple method to compute standard two-fluid models. Int. J. Comput. Fluid Dyn. 19 (2005) 475–482. [CrossRef] [MathSciNet]
  12. A.K. Kapila, R. Menikoff, J.B. Bdzil, S.F. Son and D.S. Stewart, Two-phase modeling of deflagration-to-detonation transition in granular materials: reduced equations. Phys. Fluids 13 (2001) 3002–3024. [CrossRef]
  13. K.K. Kuo, V. Yang and B.B. Moore, Intragranular stress, particle-wall friction and speed of sound in granular propellant beds. J. Ballistics 4 (1980) 697–730.
  14. J. Nussbaum, Modélisation et simulation numérique d'un écoulement diphasique de la balistique intérieure. Ph.D. Thesis, Université de Strasbourg, France (2007).
  15. J. Nussbaum, P. Helluy, J.-M. Hérard and A. Carriére, Numerical simulations of gas-particle flows with combustion. Flow Turbulence Combust. 76 (2006) 403–417. [CrossRef]
  16. V.V. Rusanov, The calculation of the interaction of non-stationary shock waves with barriers. Ž. Vyčisl. Mat. i Mat. Fiz. 1 (1961) 267–279.
  17. R. Saurel and R. Abgrall, A multiphase Godunov method for compressible multifluid and multiphase flows. J. Comput. Phys. 150 (1999) 425–467. [CrossRef] [MathSciNet]
  18. E.F. Toro, Riemann-problem based techniques for computing reactive two-phase flows, in Proc. Third Intl. Conf. on Numerical Combustion, A. Dervieux and B. Larrouturou Eds., Lecture Notes in Physics 351, Springer, Berlin, Germany (1989) 472–481.

Recommended for you