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Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models. / Mitra, Koondanibha
; Peng, Qiyao; Reisch, Cordula.
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023. ed. / Adélia Sequeira; Ana Silvestre; Svilen S. Valtchev; João Janela. Vol. 2 Cham: Springer, 2025. p. 182-192 (Lecture Notes in Computational Science and Engineering; Vol. 154).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Harvard
Mitra, K
, Peng, Q & Reisch, C 2025,
Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models. in A Sequeira, A Silvestre, SS Valtchev & J Janela (eds),
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023. vol. 2, Lecture Notes in Computational Science and Engineering, vol. 154, Springer, Cham, pp. 182-192.
https://doi.org/10.1007/978-3-031-86169-7_19APA
Mitra, K.
, Peng, Q., & Reisch, C. (2025).
Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models. In A. Sequeira, A. Silvestre, S. S. Valtchev, & J. Janela (Eds.),
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023 (Vol. 2, pp. 182-192). (Lecture Notes in Computational Science and Engineering; Vol. 154). Springer.
https://doi.org/10.1007/978-3-031-86169-7_19Vancouver
Mitra K
, Peng Q, Reisch C.
Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models. In Sequeira A, Silvestre A, Valtchev SS, Janela J, editors, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023. Vol. 2. Cham: Springer. 2025. p. 182-192. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-031-86169-7_19
Author
Mitra, Koondanibha
; Peng, Qiyao ; Reisch, Cordula. /
Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023. editor / Adélia Sequeira ; Ana Silvestre ; Svilen S. Valtchev ; João Janela. Vol. 2 Cham : Springer, 2025. pp. 182-192 (Lecture Notes in Computational Science and Engineering).
Bibtex
@inproceedings{73ab18e243e94dc3aa775abc931b30c8,
title = "Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models",
abstract = "In this work, we study the propagation of wildfires using an advection–diffusion–reaction model which also includes convective and radiative heat loss. An existing model is discussed and a physically consistent modification of the model is proposed. Using this, the existence of travelling waves (TWs) in the one-dimensional case is investigated. Prior numerical studies reveal the existence of TWs. Under the travelling wave ansatz and certain approximation, the model is reduced to a semi-autonomous dynamical system with three unknowns which can be analyzed by a shooting algorithm. It is hypothesized that under mild wind speeds, TWs in both directions exist, and under strong tailwinds only TWs in the direction of wind are possible. The theoretical implications are investigated using both solvers for the PDE models and the shooting algorithm. The results match, and unveil the dependence of the fronts on the parameters consistent with the predictions.",
author = "Koondanibha Mitra and Qiyao Peng and Cordula Reisch",
year = "2025",
month = apr,
day = "28",
doi = "10.1007/978-3-031-86169-7_19",
language = "English",
isbn = "9783031861680",
volume = "2",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "182--192",
editor = "Ad{\'e}lia Sequeira and Ana Silvestre and Valtchev, {Svilen S. } and Jo{\~a}o Janela",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023",
}
RIS
TY - GEN
T1 - Studying Wildfire Fronts Using Advection–Diffusion–Reaction Models
AU - Mitra, Koondanibha
AU - Peng, Qiyao
AU - Reisch, Cordula
PY - 2025/4/28
Y1 - 2025/4/28
N2 - In this work, we study the propagation of wildfires using an advection–diffusion–reaction model which also includes convective and radiative heat loss. An existing model is discussed and a physically consistent modification of the model is proposed. Using this, the existence of travelling waves (TWs) in the one-dimensional case is investigated. Prior numerical studies reveal the existence of TWs. Under the travelling wave ansatz and certain approximation, the model is reduced to a semi-autonomous dynamical system with three unknowns which can be analyzed by a shooting algorithm. It is hypothesized that under mild wind speeds, TWs in both directions exist, and under strong tailwinds only TWs in the direction of wind are possible. The theoretical implications are investigated using both solvers for the PDE models and the shooting algorithm. The results match, and unveil the dependence of the fronts on the parameters consistent with the predictions.
AB - In this work, we study the propagation of wildfires using an advection–diffusion–reaction model which also includes convective and radiative heat loss. An existing model is discussed and a physically consistent modification of the model is proposed. Using this, the existence of travelling waves (TWs) in the one-dimensional case is investigated. Prior numerical studies reveal the existence of TWs. Under the travelling wave ansatz and certain approximation, the model is reduced to a semi-autonomous dynamical system with three unknowns which can be analyzed by a shooting algorithm. It is hypothesized that under mild wind speeds, TWs in both directions exist, and under strong tailwinds only TWs in the direction of wind are possible. The theoretical implications are investigated using both solvers for the PDE models and the shooting algorithm. The results match, and unveil the dependence of the fronts on the parameters consistent with the predictions.
U2 - 10.1007/978-3-031-86169-7_19
DO - 10.1007/978-3-031-86169-7_19
M3 - Conference contribution/Paper
SN - 9783031861680
VL - 2
T3 - Lecture Notes in Computational Science and Engineering
SP - 182
EP - 192
BT - Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023
A2 - Sequeira, Adélia
A2 - Silvestre, Ana
A2 - Valtchev, Svilen S.
A2 - Janela, João
PB - Springer
CY - Cham
ER -
