General mathematical model for forest fires and its applications

Combustion, Explosion and Shock Waves

Volumn 32, Issue 5, 1996, Pages 503-519

  Grishin, A M ^a  

^a TOMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030335747     PISSN: 00105082     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01998573     Document Type: Article

References (73)

1. A. M. Grishin, "Mathematical modeling of forest fires," in: Numerical Methods of Continuum Mechanics [in Russian], Inst. of Theor. and Appl. Mech., Sib. Div., Acad. of Sci. of the USSR (1978), pp. 30-56.
2. A. M. Grishin, Mathematical Models of Forest Fires [in Russian], Izd. Tomsk Univ., Tomsk (1981).
3. A. M. Grishin, Mathematical Modeling of Forest Fires and New Methods of Fire Fighting [in Russian], Nauka, Novosibirsk (1992).
4. A. M. Grishin, N. A. Alekseev, A. N. Golovanov, et al., "Physical modeling of forest fire spread and interaction of shock waves with the fire front," Moscow (1989), Deposited at VINITI 05.04.89, No. 2883-B89.
5. A. M. Grishin, N. A. Alekseev, N. P. Baidin, et al., "Experimental investigation of the mechanism of spread of crown fires and heat and mass exchange between the fire front and surrounding medium," Moscow (1987), Deposited at VINITI 12.08.87, No. 226-B87.
6. A. M. Grishin, V. E. Abaltusov, A. D. Gruzin, and V. G. Zverev, "Experimental investigation of the mechanism of propagation of crown forest fires and of heat and mass exchange between the fire front and surrounding medium," Moscow (1982), Deposited at VINITI 09.03.82, No. 4873-82.
7. A. M. Grishin, V. E. Abaltusov, V. M. Babaev, et al., "Experimental investigation of heat and mass exchange in the near-ground atmospheric layer in forest fires," Moscow (1981), Deposited at VINITI 06.30.81, No. 4224-81.
8. A. M. Grishin and V. V. Plyukhin, "Experimental investigation of structure of the crown forest fire front," Fiz. Goreniya Vzryva, 21, No. 1, 21-26 (1985).
9. A. N. Spirin and A. A. Fomin, "Investigation of heat and mass transfer in the vicinity of a fire site," Moscow (1989), Deposited at VINITI 04.22.87, No. 28122-387.
10. A. M. Grishin, A. N. Golovanov, and V. G. Smirnov, "A method of experimental determination of parameters in the forest zone," Fiz. Goreniya Vzryva, 31, No. 3, 3-9 (1995).
11. A. M. Grishin, Physics of Forest Fires [in Russian], Izd. Tomsk Univ., Tomsk (1994).
12. A. A. Zhukauskas, Convective Transfer in Heat Exchangers [in Russian], Nauka, Moscow (1982).
13. G. I. Marchuk, Mathematical Modeling for Environmental Problems [in Russian], Nauka, Novosibirsk (1982).
14. Yu. V. Lapin, Turbulent Boundary Layer in Supersonic Gas Flows [in Russian], Nauka, Moscow (1982).
15. P. A. Libby and F. A. Williams (eds.), Turbulent Reacting Flows, Springer-Verlag, Berlin-Heidelberg-New York (1980).
16. J. Lumley, J. Mathieu, W. Rodi, et al., Prediction Methods for Turbulent Flows, Hemispere Publ. (1980).
17. P. N. Romanenko, Hydrodynamics and Heat and Mass Transfer in a Boundary Layer [in Russian], Energiya, Moscow (1974).
18. G. N. Abramovich, S. P. Krashennikov, and A. N. Sekundov, Turbulent Flows under the Action of Volume Non-Self-Similar Forces [in Russian], Mashinostroenie, Moscow (1975).
19. L. E. Penner, L. C. Haselman, and L. L. Edwards, "Buoyant plume calculation," AIAA Paper No. 459, 1-9 (1985).
20. A. A. Fomin, Flow Structure and Heating of the Environment above a Local Forest Fire Site, Candidate's dissertation in phys.-math. sci., Tomsk State Univ., Tomsk (1989).
21. S. Kumar, "Mathematical modelling of natural convection in fire. A state of the art review of the field modelling of variable density turbulent flow," Fire Mater., 7, No. 1, 1-24 (1983).
22. G. N. Abramovich, T. A. Girshovich, S. Yu. Krashennikov, et al., Theory of Turbulent Jets [in Russian], Nauka, Moscow (1984).
23. E. P. Mednikov, Turbulent Transfer and Sedimentation of Aerosols [in Russian], Nauka, Moscow (1981).
24. A. M. Grishin, A. Ya. Kuzin, V. L. Mikov, et al., Solution of Some Inverse Problems of the Mechanics of Reacting Media [in Russian], Izd. Tomsk Univ., Tomsk (1987).
25. B. N. Chetvertushkin, Mathematical Modeling of Problems of Radiating Gas [in Russian], Nauka, Moscow (1985).
26. A. V. Lykov, Heat- and Mass-Transfer: Handbook [in Russian], Energiya, Moscow (1978).
27. A. M. Grishin, V. N. Bertsun, and V. I. Zinchenko, Iterative-Interpolation Method and Its Applications [in Russian], Izd. Tomsk Univ., Tomsk (1981).
28. V. A. Perminov and O. V. Shipulina, "On numerical simulation of some problems of mathematical theory of forest fires," in: Physical Gas Dynamics of Reacting Media [in Russian], Nauka, Novosibirsk (1990), pp. 158-169.
29. S. V. Patankar, Numerical Methods of Heat Transfer and Fluid Dynamics [Russian translation], Energoatomizdat, Moscow (1984).
30. A. D. Gruzin, Aerodynamics and Conjugate Heat and Mass Transfer in a Near-Ground Atmospheric Layer in Spread of Forest Fires, Candidate's dissertation in phys.-math. sci., Tomsk State Univ., Tomsk (1983).
31. V. G. Zverev, Mathematical Modelling of Aerodynamics and Heat and Mass Transfer in Spread of Forest Crown Fires, Candidate's dissertation in phys.-math. sci., Tomsk State Univ., Tomsk (1985).
32. V. A. Perminov, Mathematical Modeling of Initiation of Large-Scale Forest Crown Fires with Allowance for Heat Exchange and Two-Temperature Nature of Medium, Candidate's dissertation in phys.-math. sci., Tomsk State Univ., Tomsk (1995).
33. A. M. Grishin, A. D. Gruzin, and É. É. Gruzina, "Aerodynamics and heat and mass exchange between the front of a forest fire and the surface layer of the atmosphere," Prikl. Mekh. Tekh. Fiz., No. 6, 91-96 (1984).
34. A. M. Grishin and A. D. Gruzin, "Convective heat and mass transfer and spread of burning particles in the near-ground atmospheric layer in crown fires," Dokl. Akad. Nauk SSSR, 253, No. 3, 549-553 (1980).
35. A. M. Grishin, V. G. Zverev, and A. D. Gruzin, "Mathematical modeling of the spread of crown fires," Dokl. Akad. Nauk SSSR, 269, No. 4, 822-826 (1983).
36. A. M. Grishin, A. D. Gruzin, and V. G. Zverev, Mathematical Theory of Crown Fires [in Russian], Inst. of Thermal Phys., Sib. Div., Acad. of Sci. of the USSR (1984), pp. 38-75.
37. A. M. Grishin, A. D. Gruzin, and V. G. Zverev "Heat and mass transport and the propagation of burning particles in the surface layer of the atmosphere during upstream forest fires," Fiz. Goreniya Vzryva, 17, No. 4, 78-84 (1981).
38. A. M. Grishin, N. A. Alekseev, O. P. Brabander, and V. F. Zal'mezh, Propagation of Thermics Occurring in Forest Fires in a Near-Ground Atmospheric Layer. Thermal Physics of Forest Fires [in Russian], Inst. Thermal Phys., Sib. Div., Acad. of Sci. of the USSR (1984), pp. 76-85.
39. A. M. Grishin, N. A. Alekseev, O. P. Brabander, and V. F. Zalmezh, "Propagation of thermic developing fire in the near-earth atmospheric layer," Scr. Tech. USA, 16, 28-38 (1984).
40. A. M. Grishin, V. G. Zverev, and A. D. Gruzin, "Mathematical theory of crown forest fire," Scr. Tech. USA, 17, No. 6, 41-49 (1986).
41. A. M. Grishin, E. E. Zelenskii, and S. V. Shevelev, "Two-dimensional instability of an upper forest fire front," Fiz. Goreniya Vzryva, 26, No. 3, 7-17 (1990).
42. A. M. Grishin, A. D. Gruzin, and V. G. Zverev "Study of the structure and limits of propagation of the front of an upstream forest fire," Fiz. Goreniya Vzryva, 21, No. 1, 11-21 (1985).
43. A. M. Grishin, E. E. Zelenskii, and S. V. Shevelev, "Stability of propagation of a forest fire front," in: Mechanics of Reacting Media and Its Applications [in Russian], Nauka, Novosibirsk (1989), pp. 5-21.
44. A. M. Grishin and E. E. Zelenskii, "Stability of propagation of a crown fire front at a finite rate of interphase heat exchange," in: Physical Gas Dynamics of Reacting Media [in Russian], Nauka, Novosibirsk (1990), pp. 47-60.
45. A. M. Grishin, "Steady propagation of a crown fire front," Dokl. Akad. Nauk SSSR, 279, No. 3, 550-554 (1984).
46. A. M. Grishin, V. G. Zverev, and S. V. Shevelev, "Steady-state propagation of top crown forest fires," Fiz. Goreniya Vzryva, 22, No. 6, 101-108 (1986).
47. A. M. Grishin and V. G. Zverev, "Ignition of the forest canopy in the case of top-growth fires and calculation of the width of firebreaks,$ Fiz. Goreniya Vzryva, 18, No. 4, 3-11 (1982).
48. A. M. Grishin and V. A. Perminov, $Transition of forest ground fire to crown fire,$ Fiz. Goreniya Vzryva, 26, No. 6, 3-10 (1990).
49. A. M. Grishin, K. N. Efimov, and V. A. Perminov, $Ignition of forest tracts as a result of cosmic or technogenic catastrophes,$ Fiz. Goreniya Vzryva, 32, No. 2, 18-30 (1996).
50. A. M. Grishin and V. A. Perminov, $Ignition of forest tracts by a high-altitude source of radiant energy,$ Fiz. Goreniya Vzryva, 32, No. 5, 107-115 (1996).
51. A. M. Grishin and Yu. M. Kovalev, $Investigation of the interaction of blast waves with vegetation and forest fire front,$ in: Physical Gas Dynamics of Reacting Media [in Russian], Nauka, Novosibirsk (1990), pp. 60-68.
52. A. M. Grishin and Yu. M. Kovalev, $On amplification of blast waves under interaction with forest fire front,$ Dokl. Akad. Nauk SSSR, 313, No. 1, 50-54 (1990).
53. A. M. Grishin and Yu. M. Kovalev, $Experimental and theoretical investigation of the effect of an explosion on the front of crown forest fires,$ Fiz. Goreniya Vzryva, 25, No. 6, 72-79 (1989).
54. A. M. Grishin and Yu. M. Kovalev, $Experimental investigation of the effect of an explosion of condensed explosives on the crown fire front,$ Dokl. Akad. Nauk SSSR, 308, No. 5, 77-78 (1989).
55. A. M. Grishin and S. P. Sinitsyn, "Effect of the forest crown fire front on glass-reinforced plastic," Fiz. Goreniya Vzryva, 26, No. 6, 35-42 (1990).
56. É. V. Konev, "Analysis of the spread of forest fires and burns," in: Thermal Physics of Forest Fires [in Russian], Inst. Therm. Phys., Sib. Div., Acad. of Sci. of the USSR (1984), pp. 99-125.
57. R. O. Veber, "Modeling fire spread through fuel beds," Prog. Energ. Combust. Sci., 17, 65-82 (1990).
58. Ya. B. Zel'dovich et al., Mathematical Theory of Combustion and Explosion [in Russian], Nauka, Moscow (1980).
59. Inventor's Certificate No. 1134202 SSSR, MKI A 62 S 3/02, "Method for confining forest fire spread (A. M. Grishin, V. M. Babaev, V. E. Abaltusov, A. D. Gruzin, V. G. Zverev, and V. V. Plukhin)," No. 3515538. Applied for on 10.25.82. Published 01.10.85. Byul. No. 2.
60. Inventor's Certificate No. 1405848 SSSR, MKI A 62 S 1/22, "Method for forest-fire localization and extinguishing (A. M. Grishin, A. N. Golovanov, I. P. Baidin, and A. S. Chekerenda)," No 4171019. Applied for on 10.19.86. Published 06.30.88. Byul. No. 24.
61. Inventor's Certificate No. 1147413 SSSR, MKI A 62 S 1/00, "Method for localization of forest fires (A. M. Grishin, V. M. Babaev, V. E. Abaltusov, A. D. Gruzin, and V. G. Zverev)," No. 3359093. Applied for on 12.01.81. Published 03.30.85. Byul. No. 12.
62. Inventor's Certificate No. 1644976 A 1 SSSR, MKI A 62 S 3/02, "Method of forest-fire extinguishing," No. 4644603. Applied for on 06.02.88. Published 04.30.91. Byul. No. 16.
63. Inventor's Certificate No. 1556687 A 1 SSSR, MKI A 62 S 3/02, "Method for forest-fire localization (A. M. Grishin, A. N. Golovanov, V. I. Ziatinin, A. N. Spirin, R. V. Isakov, and G. S. Loskutov)," No. 4358906. Applied for on 01.05.88. Published 04.15.90. Byul. No. 14.
64. Inventor's Certificate No. 1657199 A 1 SSSR, MKI A 62 S 3/02, "Method for forest-fire extinguishing," No. 4661231/31. Applied for on 01.03.89. Published 06.23.91. Byul. No. 23.
65. Inventor's Certificate No. 1400619 A 1 SSSR, MKI A 62 S 1/22, "Method for forest-fire extinguishing (A. M. Grishin, N. A. Alekseev, and N. A. Andreev)," No. 4160481/31. Applied for on 12.08.86. Published 06.07.88. Byul. No. 21.
66. Inventor's Certificate No. 1657198 A 1 SSSR, MKI A 62 S 3/02, "Device for forest-fire extinguishing (A. M. Grishin, A. N. Golovanov, N. A. Andreev, and P. N. Pryakhin)," No. 4661158. Applied for on 01.03.88. Published 06.23.91. Byul. No. 23.
67. Inventor's Certificate No. 1697855 SSSR, MKI A 62 S 3/02, "Method for preventing transition from surface fire to crown fire (A. M. Grishin, N. A. Alekseev, A. V. Orlov, and Yu. V. Kustov)," No. 4771930. Applied for on 12.19.89. Published 12.15.91. Byul. No. 46.
68. Inventor's Certificate No. 1644976 SSSR, MKI A 62 S 3/02, "Method for forest-fire extinguishing (A. M. Grishin, N. A. Alekseev, and A. N. Golovanov)," No. 4644603. Applied for on 12.26.88. Published 04.30.92. Byul. No. 16.
69. Inventor's Certificate No. 1657199 A 1 SSSR, MKI A 62 S 3/02, "Method for forest-fire extinguishing (A. M. Grishin, A. N. Golovanov, and B. I. Kulakov)," No. 4661231. Applied for on 01.03.89. Published 06.23.91. Byul. No. 23.
70. Inventor's Certificate No. 1400619 A 1 SSSR, MKI A 62 S 1/22, "Method for forest-fire localization and extinguishing (A. M. Grishin, V. A. Antonov, L. Yu. Naimushina, and A. N. Golovanov)," No. 4883879. Applied for on 10.08.90. Published 02.23.93. Byul. No. 7.
71. A. M. Grishin, A. N. Golovanov, and V. F. Shleptsov, "Method for forest-fire extinguishing," USSR Patent No. 1834667, A3 from 10.13.92, MKI A 62 S2/00, declaration No. 4938111 with priority from 05.23.1991. Published 08.15.93. Byul. No. 30.
72. A. M. Grishin, V. A. Antonov, L. Yu. Naimushina, and A. N. Golovanov, "Method for forest-fire localization and extinguishing," Russian Federation Patent No. 1796204 A1 SSSR, MKI A 62 2/00, declaration No. 4883879 with priority from 10.08.90. Published 02.23.93. Byul. No. 7.
73. A. M. Grsihin, V. A. Antonov, L. Yu. Naimushina, and A. N. Golovanov "Device for forest-fire localization and extinguishing," Russian Federation Patent No. 2033826 S1 SSSR, MKI S 62 3/02, declaration with priority from 07.20.90. Published 04.30.95. Byul. No. 12.