On the paths through which the fire progress faster
DOI:
https://doi.org/10.5540/03.2022.009.01.0289Palavras-chave:
Randers metric, strategic paths, wildfire propagation, fire frontResumo
Usually, there are some paths through which the fire spreads faster in wildfire propagation. These paths are called strategic paths here as they play an essential role in improving the fire fighting management strategies. In this work, we find the equations of such paths and the fire fronts’ equation. We also calculate the area consumed by the fire. Moreover, implementing the approach in the MATLAB environment, we provide an example to demonstrate the efficiency of our proposed results.
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Referências
D. Bao, C. Robles, and Z. Shen. “Zermelo navigation on Riemannian manifolds”. In: J. Differ. Geom. 66.3 (2004), pp. 377–435.
H. R Dehkordi. “Applications of Randers geodesics for wildfire spread modelling”. In: Appl. Math. Model (2022).
H. R. Dehkordi. “Mathematical modeling of wildfire propagation in an agricultural land”. In: Proc. Ser. Braz. Soc. Comput. Appl. Math. 8.1 (2021).
H. R. Dehkordi and A. Saa. “Huygens’ envelope principle in Finsler spaces and analogue gravity”. In: Class. Quantum Grav. 36.8 (2019), p. 085008.
G. W. Gibbons and C. M. Warnick. “The geometry of sound rays in a wind”. In: Contemporary Physics 52.3 (2011), pp. 197–209.
S. Heefer, C. Pfeifer, and A. Fuster. “Randers p p-waves”. In: Physical Review D 104.2 (2021), p. 024007.
J. M Lee. Introduction to Riemannian manifolds. Springer International Publishing, New York, 2018.
Z. Shen. Lectures on Finsler geometry. World Scientific, Singapore, 2001
