期刊
MATHEMATICS
卷 8, 期 6, 页码 -出版社
MDPI
DOI: 10.3390/math8061034
关键词
forest fire model; numerical solution; firebreak; convection-diffusion-reaction problem; implicit-explicit time integration; weighted essentially non-oscillatory reconstruction
类别
资金
- CRHIAM [ANID/FONDAP/15130015]
- Fondecyt [1170473, 1181511]
- CONICYT [CONICYT-PCHA/Doctorado Nacional/2014-21140362]
- Spanish MINECO [MTM2017-83942-P]
- Conicyt (Chile), project PAI-MEC [folio 80150006]
- CONICYT/PIA/Concurso Apoyo a Centros Cientificos y Tecnologicos de Excelencia con Financiamiento Basal [AFB170001]
- INRIA Associated Team Efficient numerical schemes for non-local transport phenomena (NOLOCO
- 2018-2020)
Numerical techniques for approximate solution of a system of reaction-diffusion-convection partial differential equations modeling the evolution of temperature and fuel density in a wildfire are proposed. These schemes combine linearly implicit-explicit Runge-Kutta (IMEX-RK) methods and Strang-type splitting technique to adequately handle the non-linear parabolic term and the stiffness in the reactive part. Weighted essentially non-oscillatory (WENO) reconstructions are applied to the discretization of the nonlinear convection term. Examples are focused on the applicative problem of determining the width of a firebreak to prevent the propagation of forest fires. Results illustrate that the model and numerical scheme provide an effective tool for defining that width and the parameters for control strategies of wildland fires.
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