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Original Articles

Numerical simulations of pulsating detonations: II. Piston initiated detonations

Pages 623-638 | Received 18 Jan 2001, Published online: 15 May 2007

References

  • Abouseif, G E, and Toong, T-Y, 1982. Theory of unstable one-dimensional detonations, Combust. Flame 45 (1982), pp. 67–94.
  • Alpert, R L, and Toong, T-Y, 1972. Periodicity in exothermic hypersonic flows about blunt projectiles, Astron. Acta. 17 (1972), pp. 539–60.
  • Bdzil, J B, and Kapila, A K, 1992. Shock-to-detonation transition: a model problem, Phys. Fluids A 4 (1992), pp. 409–18.
  • Blythe, P A, and Crighton, D G, 1989. Shock generated ignition: the induction zone, Proc. R. Soc. A 426 (1989), pp. 189–209.
  • Bourlioux, A, Majda, A J, and Roytburd, V, 1991. Theoretical and numerical structure for unstable one-dimensional detonations, SIAM J. Appl. Math. 51 (1991), pp. 303–43.
  • Clarke, J F, and Cant, R S, 1985. Unsteady gasdynamic effects in the induction domain behind a strong shock wave, Prog. Astron. Aero. 95 (1985), pp. 142–63.
  • Dold, J W, and Kapila, A K, 1991. Comparison between shock initiations of detonation using thermally-sensitive and chain-branching chemical models, Combust. Flame 85 (1991), pp. 185–94.
  • Falle, S A E G, and Giddings, J R, 1993. Morton, K W, and Baines, M J, eds. Numerical Methods for Fluid Dynamics. Oxford: Clarendon; 1993. pp. 337–43.
  • Fickett, W, and Davis, W C, 1979. Detonation. Berkeley, CA: University of California Press; 1979.
  • Fickett, W, and Wood, W W, 1966. Flow calculation for pulsating one-dimensional detonations, Phys. Fluids 9 (1966), pp. 903–16.
  • Haloua, F, Brouillette, M, Lienhart, V, and Dupreé, G, 2000. Characteristics of unstable detonations near extinction limits, Combust. Flame 122 (2000), pp. 422–38.
  • He, L, and Lee, J H S, 1995. The dynamical limit of one-dimensional detonations, Phys. Fluids 7 (1995), pp. 1151–8.
  • Jackson, T L, and Kapila, A K, 1985. Shock-induced thermal runaway, SIAM J. Appl. Math. 45 (1985), pp. 130–7.
  • Kaneshige, M, and Shepherd, J E, 1997. Detonation database, Technical Report FM97-8, GALCIT (1997).
  • Lee, H I, and Stewart, D S, 1990. Calculation of linear detonation stability: one-dimensional instability of plane detonation, J. Fluid Mech. 216 (1990), pp. 103–32.
  • Lehr, H F, 1972. Experiments on shock induced combustion, Astron. Acta 17 (1972), pp. 549–97.
  • Meyer, J W, and Oppenheim, A K, 1971. On the shock induced ignition of explosive gases. Presented at 13th Int. Symp. on Combustion.
  • Nikiforakis, N, and Clarke, J F, 1996a. Quasi-steady structures in the two-dimensional initiation of detonations, Proc. R. Soc. A 452 (1996a), pp. 2023–42.
  • Nikiforakis, N, and Clarke, J F, 1996b. Numerical studies of the evolution of detonations, Math. Comput. Model. 24 (1996b), pp. 149–64.
  • Oran, E S, and Boris, J P, 1982. Weak and strong ignition. II: Sensitivity of the hydrogen - oxygen system, Combust. Flame 48 (1982), pp. 149–61.
  • Oran, E S, Young, T R, Boris, J P, and Cohen, A, 1982. Weak and strong ignition. I: numerical simulations of shock tube experiments, Combust. Flame 48 (1982), pp. 135–48.
  • Quirk, J J, 1994. "Godunov-type schemes applied to detonation flows". In: Buckmaster, J, Jackson, J L, and Kumar, A, eds. Combustion in High-Speed Flows. Dordrecht: Kluwer; 1994. pp. 575–96.
  • Saint-Cloud, J P, Guerraud, C, Brochet, C, and Manson, N, 1972. Some properties of very unstable detonations in gaseous mixtures, Astron. Acta. 17 (1972), pp. 487–98.
  • Sharpe, G J, 1997. Linear stability of idealized detonations, Proc. R. Soc. A 453 (1997), pp. 2603–25.
  • Sharpe, G J, 2000. Piston and reflected shock initiation of plane detonation waves.
  • Sharpe, G J, 2001. Transverse waves in numerical simulations of cellular detonations, J. Fluid Mech. 447 (2001), pp. 31–51.
  • Sharpe, G J, and Falle, S A E G, 1999. One-dimensional numerical simulations of idealized detonations, Proc. R. Soc. A 455 (1999), pp. 1203–14.
  • Sharpe, G J, and Falle, S A E G, 2000a. One-dimensional nonlinear stability of pathological detonations, J. Fluid Mech. 414 (2000a), pp. 339–66.
  • Sharpe, G J, and Falle, S A E G, 2000b. Two-dimensional numerical simulations of idealized detonations, Proc. R. Soc. A 456 (2000b), pp. 2081–100.
  • Sharpe, G J, and Falle, S A E G, 2000c. Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations, Combust. Theory Modelling 4 (2000c), pp. 557–74.
  • Short, M, Kapila, A K, and Quirk, J J, 1999. The chemical - gas dynamic mechanisms of pulsating detonation wave instability, Phil. Trans. R. Soc. A 357 (1999), pp. 3621–37.
  • Short, M, and Quirk, J J, 1997. On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction, J. Fluid Mech. 339 (1997), pp. 89–119.
  • Short, M, and Stewart, D S, 1998. Cellular detonation stability. Part I. A normal-mode linear analysis, J. Fluid Mech. 368 (1998), pp. 229–62.
  • Singh, G, and Clarke, J F, 1992. Transient phenomena in the initiation of a mechanically driven plane detonation, Proc. R. Soc. A 438 (1992), pp. 23–46.
  • Stewart, D S, 1986. Plane shock initiation of homogeneous and heterogeneous condensed phase explosives with a sensitive rate, Combust. Sci. Technol. 48 (1986), pp. 309–30.
  • Von Neumann, J, 1942. Taub, A H, ed. John von Neumann, collected works. Vol. 6. Oxford: Permagon; 1942. pp. 203–18.
  • Williams, D N, Bauwens, L, and Oran, E S, 1996. A numerical study of the mechanisms of self-reignition in low-overdrive detonations, Shock Waves 6 (1996), pp. 93–110.

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