Computer model, examples of analysis of the spread of ground forest fires

D. V. Barovik ; V. B. Taranchuk

Problemy fiziki, matematiki i tehniki, no. 4 (2020), pp. 113-120.

Résumé

The problem of computer modeling of two-dimensional surface forest fire spread is considered. The initial-boundary value problem in the form of a system of partial differential equations is described. The results of numerical experiments investigating scenarios how fire zone spreads near fuelbreaks in different directions are provided. The qualitative differences in the evolution of the temperature front at different stages of the combustion process at several characteristic sizes of forest fire breaks (glades), different representative values of wind speed in the forest canopy are revealed and shown.

Détail

Keywords: surface forest fire, wildland fire, wildfires, mathematical model, fire front dynamics, fuelbreak size, wind velocity.

Bibliographie

[1] I.D. Cheshko i dr., Ekspertnoe issledovanie prirodnykh pozharov, metodicheskoe posobie, SPb universitet GPS MChS Rossii, SPb., 2019, 252 pp.

[2] A.A. Dvornik et al., “Potential threat to human health during forest fires in the Belarusian exclusion zone”, Aerosol Science and Technology, 52:8 (2018), 923–932 | DOI

[3] Statement from WWF-Australia on Australia's bushfire emergency, , 2020 (Date of access: 20.04.2020) www.wwf.org.au/news/news/2020/statement-from-wwf-australia-on-australia-s-bushfire-emergency

[4] Economic impact of Australia-s bushfires set to exceed 4.4bn cost of Black Saturday, , 2020 (Date of access: 20.04.2020) www.theguardian.com/australia-news/2020/jan/08/economic-impact-of-australias-bushfires-set-toexceed-44bn-cost-of-black-saturday

[5] A.V. Volokitina, T.M. Sofronova, M.A. Korets, “Prognozirovanie povedeniya pozharov rastitelnosti”, Lesnoi zhurnal, 2020, no. 1, 9–25

[6] N. Frangieh et al., “Wildfires front dynamics: 3D structures and intensity at small and large scales”, Combustion and Flame, 211 (2020), 54–67 | DOI

[7] I.B. Gladskoi, A.V. Pavlova, S.E. Rubtsov, “K modelirovaniyu rasprostraneniya prirodnykh pozharov s ispolzovaniem GIS-tekhnologii”, Ekologicheskii vestnik tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva, 16:4 (2019), 13–21 | DOI

[8] D. Antonov et al., “Experimental and Numerical Studies of Suppression of Forest Combustible Material Pyrolysis under Influence of Steam-Water Curtain”, MATEC Web of Conferences: Heat and mass transfer in the thermal control system of technical and technological energy equipment, HMTTSC 2018, EDP Sciences, 2018, 01003 | MR

[9] V. Perminov, A. Goudov, “Mathematical modeling of forest fires initiation, spread and impact on environment”, International Journal of GEOMATE, 13:35 (2017), 93–99 | DOI

[10] N.V. Baranovskii, A.V. Zakharevich, “Fizicheskoe modelirovanie protsessov zazhiganiya elovoi khvoi uglerodistoi nagretoi do vysokikh temperatur chastitsei”, Voprosy lesnoi nauki, 2:1 (2019), 1–15 | DOI

[11] G.F. Lasuta, P.N. Goman, “Modelirovanie protsessov vozniknoveniya i rasprostraneniya lesnogo nizovogo pozhara s otsenkoi urovnya teplovoi nagruzki ot fronta plameni”, Vestnik Universiteta grazhdanskoi zaschity MChS Belarusi, 3:2 (2019), 138–154 | DOI | Zbl

[12] S.V. Syrodoi, G.V. Kuznetsov, “Vliyanie kineticheskoi modeli opisaniya protsessov termicheskogo razlozheniya na rezultaty matematicheskogo modelirovaniya zazhiganiya chastits drevesnoi biomassy”, Trudy sedmoi Rossiiskoi natsionalnoi konferentsii po teploobmenu, V 3 t., v. 1, Izdatelskii dom MEI, M., 2018, 457–460

[13] D.V. Barovik, V.B. Taranchuk, “Algoritmicheskie osnovy postroeniya kompyuternoi modeli prognoza rasprostraneniya lesnykh pozharov”, Vestnik PGU. Seriya C: Fundamentalnye nauki, 2011, no. 12, 51–56

[14] E. Pastor et al., “Mathematical models and calculation systems for the study of wildland fire behaviour”, Progress in Energy and Combustion Science, 29 (2003), 139–153 | DOI

[15] D.V. Barovik, V.B. Taranchuk, “Sostoyanie problemy i rezultaty kompyuternogo prognozirovaniya rasprostraneniya lesnykh pozharov”, Vestnik BGU. Seriya 1. Fizika. Matematika. Informatika, 2011, no. 3, 78–84

[16] A.A. Kuleshov, E.E. Myshetskaya, S.E. Yakush, “Modelirovanie rasprostraneniya lesnykh pozharov na osnove modifitsirovannoi dvumernoi modeli”, Matematicheskoe modelirovanie, 28:12 (2016), 20–32

[17] P.N. Goman i dr., “Eksperimentalno-chislennoe modelirovanie protsessa goreniya i rasprostraneniya ognya v usloviyakh lesnogo nizovogo pozhara”, Tekhnologii tekhnosfernoi bezopasnosti, 2011, no. 3 (37), 8 pp.

[18] D.V. Barovik, V.B. Taranchuk, “O razvitii metodiki Rotermela i realizatsii dvumernoi kompyuternoi modeli prognoza rasprostraneniya lesnykh pozharov”, Vesnik Vitsebskaga dzyarzhaŭnaga universiteta, 2011, no. 6 (66), 5–11

[19] D.V. Barovik, V.B. Taranchuk, “Adaptatsiya modeli Rotermela dlya realizatsii v programmnom komplekse prognoza rasprostraneniya lesnykh pozharov”, Tekhnologii tekhnosfernoi bezopasnosti, 2011, no. 6 (40), 6

[20] A.M. Grishin, Matematicheskoe modelirovanie lesnykh pozharov i novye sposoby borby s nimi, Nauka, Sibirskoe otdelenie, Novosibirsk, 1992, 408 pp.

[21] V.I. Marzaeva, “Matematicheskoe modelirovanie rasprostraneniya verkhovykh lesnykh pozharov pri nalichii protivopozharnykh razryvov i zaslonov”, Zhurnal tekhnicheskoi fiziki, 89:8 (2019), 1141–1149 | DOI

[22] A.A. Kuleshov, E.E. Myshetskaya, “Rezultaty raschetov rasprostraneniya fronta lesnykh pozharov po dvumernoi trekhfaznoi modeli”, Preprinty IPM im. M.V. Keldysha, 2019, 115, 9 pp. | DOI

[23] D.V. Barovik, V.B. Taranchuk, “Ob osobennostyakh adaptatsii matematicheskikh modelei vershinnykh verkhovykh lesnykh pozharov”, Vestnik BGU. Seriya 1. Fizika. Matematika. Informatika, 2010, no. 1, 138–143

[24] D. Barovik, V. Taranchuk, “Mathematical modelling of running crown forest fires”, Mathematical Modelling and Analysis, 15:2 (2010), 161–174 | DOI | MR | Zbl

[25] D.V. Barovik, V.B. Taranchuk, “Chislennaya realizatsiya matematicheskoi modeli verkhovykh lesnykh pozharov”, Vestsi BDPU. Seryya 3, 2010, no. 2 (64), 40–44

[26] D.V. Barovik, “Bazy dannykh rezultatov chislennogo modelirovaniya (na primere zadachi rasprostraneniya lesnykh pozharov)”, Vestnik BGU. Seriya 1. Fizika. Matematika. Informatika, 2010, no. 2, 170–174

[27] G.V. Kuznetsov et al., “Heat transfer and phase transformations in the localization of forest fuel combustion”, Interfacial Phenomena and Heat Transfer, 7:2 (2019), 167–195 | DOI

[28] D.V. Barovik, V.I. Korzyuk, V.B. Taranchuk, “K obosnovaniyu matematicheskikh modelei nizovykh lesnykh pozharov”, Trudy instituta matematiki, 21:1 (2013), 3–15

[29] D.V. Barovik, V.I. Korzyuk, V.B. Taranchuk, “O korrektnosti odnoi matematicheskoi modeli nizovykh lesnykh pozharov”, Doklady Natsionalnoi akademii nauk Belarusi, 57:4 (2013), 5–9

[30] V.B. Taranchuk, D.V. Barovik, “O sredstvakh Wolfram Mathematica dlya rasparallelivaniya vychislenii v kompyuternykh modelyakh lesnykh pozharov”, Veb-programmirovanie i internet-tekhnologii WebConf 2015, Belorusskii gosudarstvennyi universitet, Minsk, 2015, 108–109

[31] D.V. Barovik, V.B. Taranchuk, “Crown Forest Fire Mathematical Model Realization in Wolfram Mathematica”, Mathematical Modeling in Physics, Civil Engineering, Economics and Finance, Computer Algebra Systems in Teaching and Research, 2011, 5–15 | MR

[32] D.V. Barovik, V.B. Taranchuk, “Results of Crown Forest Fires Mathematical Modelling”, Mathematical Modeling in Physics, Civil Engineering, Economics and Finance, Computer Algebra Systems in Teaching and Research, 2011, 16–22 | MR

[33] R. Burger et al., “Implicit-Explicit Methods for a ConvectionDiffusion-Reaction Model of the Propagation of Forest Fires”, Mathematics, 2020, no. 8 (6), 1034 | DOI

[34] D.V. Barovik, V.B. Taranchuk, “Modelirovanie protsessov rasprostraneniya nizovykh lesnykh pozharov pri nalichii polyan na puti ognya”, Matematicheskie metody v tekhnike i tekhnologiyakh (MMTT), 12:1 (2017), 109–113

[35] V. Taranchuk, D. Barovik, “Numerical Modelling of Surface Forest Fire Spread in Nonuniform Woodland”, Computer Algebra Systems in Teaching and Research (CASTR), VIII (2019), 159–168

[36] V.B. Taranchuk, D.V. Barovik, “Metody, sredstva, otdelnye rezultaty kompyuternogo modelirovaniya nizovykh lesnykh pozharov”, Informatsionnye tekhnologii i sistemy 2017, ITS 2017, materialy mezhdunarodnoi nauchnoi konferentsii, BGUIR, Minsk, 2017, 178–179 | Zbl

[37] V.B. Taranchuk, D.V. Barovik, “Kompyuternoe modelirovanie lesnykh pozharov”, Nauka, innovatsii, investitsii, sbornik materialov 2-go Belorussko-Latviiskogo foruma, Belorusskii natsionalnyi tekhnicheskii universitet, Minsk, 2014, 73–75

[38] V.B. Taranchuk, “Sredstva i primery intellektualnoi obrabotki dannykh dlya geologicheskikh modelei”, Problemy fiziki, matematiki i tekhniki, 2019, no. 3 (40), 117–122

[39] D.V. Barovik, V.B. Taranchuk, L.V. Shkolnikov, “Struktura i funktsional modulya «operativno-analiticheskii blok» programmnogo kompleksa registratsii i obrabotki soobschenii o chrezvychainykh situatsiyakh”, Chrezvychainye situatsii: preduprezhdenie i likvidatsiya, 2013, no. 2 (34), 84–94

[40] D.V. Barovik, V.I. Korzyuk, V.B. Taranchuk, “Metodicheskie i algoritmicheskie osnovy programmnogo kompleksa «Raschet i vizualizatsiya dinamiki lesnogo pozhara»”, Chrezvychainye situatsii: preduprezhdenie i likvidatsiya, 2011, no. 2 (30), 22–33