On a wildland fire model with radiation

DOI10.1002/nme.420zbMath1098.76644OpenAlexW2085232250WikidataQ56505700 ScholiaQ56505700MaRDI QIDQ4785115

M. I. Asensio, L. Ferragut

Publication date: 17 December 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.420

zbMATH Keywords

mixed finite element methodsnon-linear reaction diffusion convection problemswildland fires simulation

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Reaction effects in flows (76V05) Diffusion and convection (76R99)

Related Items (9)

A Simplified Wildland Fire Model Applied to a Real Case ⋮ Fire Spotting Effects in Wildland Fire Propagation ⋮ Modelling and simulation of wildland fire in the framework of the level set method ⋮ A Luenberger observer for reaction-diffusion models with front position data ⋮ Analytical and numerical insights into wildfire dynamics: exploring the advection-diffusion-reaction model ⋮ A wildland fire model with data assimilation ⋮ A convection model for fire spread simulation ⋮ Traveling wave solutions for the combustion model of a shear flow in a cylinder ⋮ PhyFire: An Online GIS-Integrated Wildfire Spread Simulation Tool Based on a Semiphysical Model

Cites Work

• Numerical solution of a nonlinear reaction-diffusion equation
• Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
• Existence for reaction diffusion systems. A compactness method approach
• Mathematical problems from combustion theory
• Combustion waves in two dimensions and their one-dimensional approximation
• Radiation enhanced combustion wave speeds
• Application of a nonlinear evolution model to fire propagation
• A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
• Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh

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