Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations

Kaur, Inderpreet, et al. "Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 85-99. <http://eudml.org/doc/287841>.

@inProceedings{Kaur2015,
abstract = {A novel approach to study the propagation of fronts with random motion is presented. This approach is based on the idea to consider the motion of the front, split into a drifting part and a fluctuating part; the front position is also split correspondingly. In particular, the drifting part can be related to existing methods for moving interfaces, for example, the Eulerian level set method and the Lagrangian discrete event system specification. The fluctuating part is the result of a comprehensive statistical description of the system which includes the random effects in agreement with the physical properties of the system. The resulting averaged process emerges to be governed by an evolution equation of the reaction-diffusion type. Hence, following the proposed approach, when fronts propagate with a random motion, models based on methods for moving interfaces and those based on reaction-diffusion equations can indeed be considered complementary and reconciled. This approach turns out to be useful to simulate random effects in wildland fire propagation as those due to turbulent heat convection and fire spotting phenomena.},
author = {Kaur, Inderpreet, Mentrelli, Andrea, Bosseur, Frederic, Filippi, Jean Baptiste, Pagnini, Gianni},
booktitle = {Application of Mathematics 2015},
keywords = {random front; wildland fire propagation; turbulence; fire spotting},
location = {Prague},
pages = {85-99},
publisher = {Institute of Mathematics CAS},
title = {Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations},
url = {http://eudml.org/doc/287841},
year = {2015},
}

TY - CLSWK
AU - Kaur, Inderpreet
AU - Mentrelli, Andrea
AU - Bosseur, Frederic
AU - Filippi, Jean Baptiste
AU - Pagnini, Gianni
TI - Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 85
EP - 99
AB - A novel approach to study the propagation of fronts with random motion is presented. This approach is based on the idea to consider the motion of the front, split into a drifting part and a fluctuating part; the front position is also split correspondingly. In particular, the drifting part can be related to existing methods for moving interfaces, for example, the Eulerian level set method and the Lagrangian discrete event system specification. The fluctuating part is the result of a comprehensive statistical description of the system which includes the random effects in agreement with the physical properties of the system. The resulting averaged process emerges to be governed by an evolution equation of the reaction-diffusion type. Hence, following the proposed approach, when fronts propagate with a random motion, models based on methods for moving interfaces and those based on reaction-diffusion equations can indeed be considered complementary and reconciled. This approach turns out to be useful to simulate random effects in wildland fire propagation as those due to turbulent heat convection and fire spotting phenomena.
KW - random front; wildland fire propagation; turbulence; fire spotting
UR - http://eudml.org/doc/287841
ER -