A High-Resolution Numerical Method for a Two-Phase Model of Deflagration-to-Detonation Transition

Journal of Computational Physics

Volumn 163, Issue 2, 2000, Pages 376-433

  Gonthier, Keith A ^a   Powers, Joseph M ^b  

^a Lamar University   (United States)

^b University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMBUSTION; CONVERGENCE OF NUMERICAL METHODS; DETONATION; EQUATIONS OF STATE; GRANULAR MATERIALS; PISTONS; SHOCK TUBES;

APPROXIMATE SOLUTION; CONVERGENCE RATES; DEFLAGRATION TO DETONATION TRANSITION; ENERGETIC SOLIDS; GAS MODELS; HIGH RESOLUTION; TEST CASE; TRANSITION MODEL; TWO PHASE; TWO-PHASE MODEL;

INERT GASES;

EID: 0001424539     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6569     Document Type: Article

References (66)

1. Asay B. W., Son S. F., Bdzil J. B. Int. J. Multiphase Flow. 22:1996;923.
2. Baer M. R. J. Appl. Mech. 55:1988;36.
3. Baer M. R., Nunziato J. W. Int. J. Multiphase Flow. 12:1986;861.
4. Baer M. R., Gross R. J., Nunziato J. W., Igel E. A. Combust. Flame. 65:1986;15.
5. Baer M. R., Nunziato J. W. Compressive combustion of granular materials induced by low-velocity impact. Proceedings of the 9th (International) Detonation Symposium, Portland, Oregon. 1989;744.
6. Bdzil J. B., Menikoff R., Son S. F., Kapila A. K., Stewart D. S. Phys. Fluids. 11:1999;378.
7. Bell J. B., Colella P., Trangenstein J. A. J. Comput. Phys. 82:1989;362.
8. Butler P. B., Krier H. Combust. Flame. 63:1986;31.
9. A. W. Campbell, Deflagration-to-Detonation Transition in Granular HMX, Technical Report LA-UR 80-2016, Los Alamos National Laboratory, Los Alamos, NM, 1980.
10. Chakravarthy S. R., Osher S. Lect. Appl. Math. 22:1985;57.
11. Colella P., Majda A. J., Roytburd V. SIAM J. Sci. Stat. Comput. 7:1986;1059.
12. Courant R., Friedrichs K. O. Supersonic Flow and Shock Waves. 1948.
13. Dimitrienko I. Int. J. Eng. Sci. 36:1998;1215.
14. Drew D. A. Annu. Rev. Fluid Mech. 15:1983;261.
15. Embid P., Baer M. Continuum Mech. Thermodyn. 4:1992;279.
16. Embid P., Hunter J., Majda A. SIAM J. Appl. Math. 52:1992;1199.
17. Embid P., Majda A. Combust. Flame. 89:1992;17.
18. Glaister P. J. Comput. Phys. 74:1988;382.
19. Glaister P. J. Comput. Phys. 77:1988;361.
20. Glaister P. Comput. Math. Appl. 24:1992;77.
21. Gonthier K. A., Powers J. M. Shock Waves. 6:1996;183.
22. Gonthier K. A. A Numerical Investigation of the Evolution of Self-Propagating Detonation in Energetic Granular Solids. 1996.
23. Gonthier K. A., Son S. F. Modeling compaction induced energy localization in granular HMX. Shock Compression of Condensed Matter. 1999;393.
24. Grismer M. J. A Numerical Investigation of Oblique Detonations with Applications to Propulsion. 1994.
25. Harten A., Hyman J. M. J. Comput. Phys. 50:1983;235.
26. Harten A., Lax P. D., van Leer B. SIAM Rev. 25:1983;33.
27. Hindmarsh A. C. ODEPACK, a systematized collection of ODE solvers. Scientific Computing. 1983;55.
28. Hirsch C. Numerical Computation of Internal and External Flows. 1:1990.
29. Isaacson E., Temple B. SIAM J. Appl. Math. 52:1992;1260.
30. Kapila A. K., Son S. F., Bdzil J. B., Menikoff R., Stewart D. S. Phys. Fluids. 9:1997;3885.
31. Keyfitz B. L., Kranzer H. C. J. Differential Equations. 47:1983;35.
32. LeVeque R. J., Yee H. C. J. Comput. Phys. 86:1990;187.
33. LeVeque R. J. Numerical Methods for Conservation Laws. 1992.
34. Luebcke P. E., Dickson P. M., Field J. E. J. Appl. Phys. 79:1996;3499.
35. Massoni J., Saurel R., Baudin G., Demol G. Phys. Fluids. 11:1999;710.
36. McAfee J. M., Asay B. W, Campbell W., Ramsay J. B. Deflagration to detonation transition in granular HMX. Proceedings of the 9th (International) Detonation Symposium. 1989;265.
37. J. M. McAfee, B. W, Asay, and, J. B. Bdzil, Deflagration-to-Detonation in Granular HMX: Ignition, Kinetics, and Shock Formation, Technical Report LA-UR 93-1754, Los Alamos National Laboratory, Los Alamos, NM, 1993.
38. Menikoff R. SIAM J. Sci. Comput. 15:1994;1227.
39. R. Menikoff, Numerical Anomalies Mimicking Physical Effects, Technical Report LA-UR 95-2628, Los Alamos National Laboratory, Los Alamos, NM, 1995.
40. R. Menikoff, and, K. S. Lackner, Anomalous Physical Effects from Artificial Numerical Length Scales, Technical Report LA-UR 95-2135, Los Alamos National Laboratory, Los Alamos, NM, 1995.
41. Pape R., Gidaspow D. AICHE J. 44:1998;294.
42. Powers J. M. Theory of Detonation Structure for Two-Phase Materials. 1988.
43. Powers J. M., Stewart D. S., Krier H. J. Appl. Mech. 56:1989;15.
44. Powers J. M., Stewart D. S., Krier H. Combust. Flame. 80:1990;264.
45. Powers J. M., Stewart D. S., Krier H. Combust. Flame. 80:1990;280.
46. E. M. Kober, J. B. Bdzil, and, S. F. Son, Modeling DDT in Granular Explosives with a Multi-Dimensional Hydrocode, Technical Report LA-UR 95-2812, Los Alamos National Laboratory, Los Alamos, NM, 1995.
47. Ramshaw J. D., Trapp J. A. Nucl. Sci. Eng. 66:1978;93.
48. Roe P. L., Pike J. Efficient construction and utilization of approximate Riemann solutions. Computing Methods in Applied Sciences and Engineering VI. 1984;499.
49. Roe P. L. J. Comput. Phys. 43:1981;357.
50. Rogue X., Rodriguez G., Haas J. F., Saurel R. Shock Waves. 8:1998;29.
51. Rusanov V. V. J. Comput. Math. Phys. USSR. 1:1961;267.
52. H. W. Sandusky, and, T. P. Liddiard, Dynamic Compaction of Porous Beds, Technical Report NSWC TR 83-246, Naval Surface Warfare Center, Indian Head, MD, 1985.
53. Sandusky H. W., Bernecker R. R. Compressive reaction in porous beds of energetic material. Proceedings of the 8th (International) Detonation Symposium. 1985;881.
54. Saurel R., Larini M., Loraud J. C. J. Comput. Fluid Dyn. 1:1992;155.
55. Saurel R., Daniel E., Loraud J. C. AIAA J. 32:1994;1214.
56. Saurel R., Forestier A., Veyret D., Loraud J. C. Int. J. Numerical Methods Fluids. 18:1994;803.
57. Saurel R. J. Propul. Power. 12:1996;708.
58. Saurel R., Abgrall R. J. Comput. Phys. 150:1999;425.
59. S. F. Son, B. W, Asay, and, J. B. Bdzil, Inert Plug Formation in the DDT of Granular Energetic Materials, Technical Report LA-UR 95-2872, Los Alamos National Laboratory, Los Alamos, NM, 1995.
60. Son S. F., Asay B. W, Bdzil J. B., Kober E. M. Reaction rate modeling in the deflagration to detonation transition of granular energetic materials. Proceedings of the Materials Research Society Meeting, Boston, Massachusetts. 1995.
61. Stewart D. S., Asay B., Prasad K. Phys. Fluids. 6:1994;2515.
62. Strang G. SIAM J. Num. Anal. 5:1968;506.
63. Sweby P. K. SIAM J. Num. Anal. 21:1984;995.
64. Woodward P., Collela P. J. Comput. Phys. 54:1984;115.
65. Zauderer E. Partial Differential Equations of Applied Mathematics. 1989.
66. Zeldovich Y. B., Raizer Y. P. Elements of Gasdynamics and the Classical Theory of Shock Waves. 1968.