Mathematical modeling of wildfire propagation in an agricultural land

Hengameh R. Dehkordi

Resumo


Every year, the wildfires cause significantly financial damages to the agricultural sector  and farmers. Therefore, presenting reliable models which quickly predict the behavior of fire is of great  importance to manage and control the progress of wildfire in time. In the present work, by using Randers  metric and Huygens’ principie, we provide a model for the propagation of wildfire in some agricultural  land in the dimension 3, while some wind is blowing across the space. Some example is provided to  illustrate the results.  


Palavras-chave


Randers metric; Huygens’ Principie; Wavefront; Causal structure; Analogue gravity.

Texto completo:

PDF (English)

Referências


Alexandrino, M. M., Alves, B. O., and Dehkordi, H. R. On finsler transnormal functions. Differential Geometry and its Applications 65 (2019), 93-107.

Anderson, D. H., Catchpole, E. A., De Mestre, N. J., and Parkes, T. Modelling the spread of grass fires. Anziam J. 23, 4 (1982), 451-466.

Arnold, V. I. Mathematical methods of classical mechanics, vol. 60. Springer Science & Business Media, New York, Springer, 2013.

Dehkordi, H. R. Mathematical modeling the wildfire propagation in a Randers space. arXiv preprint arXiv:2012.06692 (2020).

Dehkordi, H. R., and Saa, A. Huygens’ envelope principie in Finsler spaces and analogue gravity. Classical Quant. Grav. 36, 8 (2019), 085008.

Fuster, A., and Pabst, C. Finsler p p-waves. Phys. Rev. D 94, 10 (2016), 104072.

GiambÒ, R., Giannoni, F., and Piccione, P. Genericity of nondegeneracy for light rays in stationary spacetimes. Comm. Math. Phys. 287, 3 (2009), 903-923.

Glasa, J., and Halada, L. On mathematical foundations of elliptical forest fire spread model. Chapter 12 (2009), 315-333.

Guelpa, E., Sciacovelli, A., Verda, V., and Ascoli, D. Faster prediction of wildfire behaviour by physical models through application of proper orthogonal decomposition. IJWF 25, 11 (2016), 1181-1192.

Markvorsen, S. A Finsler geodesic spray paradigm for wildfire spread modelling. Nonlinear Anal. Real World Appl. 28 (2016), 208-228.

Papadopoulos, G. D., and Pavlidou, F. N. A comparative review on wildfire simulators. IEEE Syst J. 5, 2 (2011), 233-243.

Wiedinmyer, C., and Neff, J. C. Estimates of CO2 from fires in the united states: implications for carbon management. Carbon Balance Manag. 2, 1 (2007), 10.




DOI: https://doi.org/10.5540/03.2021.008.01.0431

Apontamentos

  • Não há apontamentos.


SBMAC - Sociedade de Matemática Aplicada e Computacional
Edifício Medical Center - Rua Maestro João Seppe, nº. 900, 16º. andar - Sala 163 | São Carlos/SP - CEP: 13561-120
 


Normas para publicação | Contato