224
Views
52
CrossRef citations to date
0
Altmetric
Original Articles

Numerical resolution of pulsating detonation waves

, , , , &
Pages 217-240 | Received 16 Mar 1999, Published online: 19 Aug 2006

References

  • Chapman , D L . 1899 . On the rate of explosion in gases . Philos. Mag. , 47 : 90 – 104 .
  • Jouget , E . 1905 . On the propagation of chemical reactions in gases . J. Math. Pures Appl. , 1 : 347-425 Continued in Jouget E 1906 On the propagation of chemical reactions in gases J. Math. Pures Appl. 2 5–85
  • Jouget , E . 1917 . Mecanique des Explosifs , Paris : Octave Doin et Fils .
  • Zel'dovich , Ia B . 1940 . On the theory of the propagation of detonation in gaseous systems . Zh. Eksp. Teor. Fiz. , 10 : 542 – 68 .
  • von Neumann , J. 1942 . Theory of detonation waves . John Von Neumann, Collected Works , 6
  • Doering , W . 1943 . On detonation processes in gases . Ann. Phys. , 43 : 421 – 36 .
  • Bourlioux , A and Majda , A J . 1992 . Theoretical and numerical structure for unstable two-dimensional detonations . Combust. Flame , 90 : 211 – 29 .
  • Williams , D N , Bauwens , L and Oran , E S . 1996 . Detailed structure and propagation of three-dimensional detonations . 26th Symp. Int. Combustion . 1996 . pp. 2991 – 8 .
  • Campbell , C and Woodhead , D W . 1927 . The ignition of gases by an explosion wave. Part I. carbon monoxide and hydrogen mixtures . J. Chem. Soc. , : 1572 – 8 .
  • Erpenbeck , J J . 1962 . Stability of steady-state equilibrium detonations . Phys. Fluids , 5 : 604 – 14 .
  • Erpenbeck , J J . 1964 . Stability of idealized one-reaction detonations . Phys. Fluids , 7 : 684 – 96 .
  • Erpenbeck , J J . 1967 . Nonlinear theory of unstable one-dimensional detonations . Phys. Fluids , 10 : 274 – 88 .
  • Fickett , W and Wood , W W . 1966 . Flow calculations for pulsating one-dimensional detonations . Phys. Fluids , 9 : 903 – 16 .
  • Bourlioux , A , Majda , A J and Roytburd , V . 1991 . Theoretical and numerical structure for unstable one-dimensional detonations . SIAM J. Appl. Math. , 51 : 303 – 43 .
  • Lee , H I and Stewart , D S . 1990 . Calculation of linear detonation stability: one-dimensional instability of plane detonation . J. Fluid Mech. , 216 : 103 – 32 .
  • Clavin , P and He , L . 1996 . Stability and nonlinear dynamics of one-dimensional overdriven detonations in gases . J. Fluid Mech. , 306 : 353 – 78 .
  • Papalexandris , M V , Leonard , A and Dimotakis , P E . 1997 . Unsplit schemes for hyperbolic conservation laws with source terms in one space dimension . J. Comput. Phys. , 134 : 31 – 61 .
  • Quirk , J J . 1994 . “ Godunov-type schemes applied to detonation flows ” . In Combustion in High-Speed Flows , Edited by: Buckmaster , J . 575 – 96 . Dordrecht : Kluwer .
  • Harten , A , Osher , S J , Engquist , B E and Chakravarthy , S R . 1986 . Some results on uniformly high-order accurate essentially nonoscillatory schemes . J. Appl. Numer. Math. , 2 : 347 – 77 .
  • Shu , C W and Osher , S . 1989 . Efficient implementation of essentially non-oscillatory shock capturing schemes II . J. Comput. Phys. , 83 : 32 – 78 .
  • Fedkiw , R P , Merriman , B , Donat , R and Osher , S . 1998 . “ The penultimate scheme for systems of conservation laws: finite difference ENO with Marquina's flux splitting ” . In Progress in Numerical Solutions of Partial Differential Equations (Arachon) Edited by: Hafez , M .
  • Fedkiw , R P , Merriman , B and Osher , S . 1997 . High accuracy numerical methods for thermally perfect gas flows with chemistry . J. Comput. Phys. , 132 : 175 – 90 .
  • Brown , P N , Byrne , G D and Hindmarsh , A C . 1989 . VODE: a variable coefficient ODE solver . SIAM J. Sci. Stat. Comput. , 10 : 1038 – 51 .
  • Hwang , P . 1998 . “ Simulations of one-dimensional pulsating detonations with different levels of numerical resolution ” . In UCLA Engineering Report ENG-00-212
  • Engquist , B and Sjogren , B . 1991 . “ Robust difference approximations of stiff inviscid detonation waves ” . In UCLA CAM Report Vol. 91–03 ,

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.