A wildland fire model with data assimilation

DOI10.1016/j.matcom.2008.03.015zbMath1155.80005arXiv0709.0086OpenAlexW2105056323WikidataQ56505702 ScholiaQ56505702MaRDI QIDQ960358

Janice L. Coen, Anthony Vodacek, Jonathan D. Beezley, Minjeong Kim, Jan Mandel, Lynn S. Bennethum, Craig C. Douglas

Publication date: 17 December 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0086

zbMATH Keywords

parameter identificationreaction-diffusion equationnumerical simulationdata assimilationensemble Kalman filterWildfire model

Mathematics Subject Classification ID

Related Items (13)

Parameter estimation of fire propagation models using level set methods ⋮ 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 ⋮ Data-driven surrogate model with latent data assimilation: application to wildfire forecasting ⋮ An adjoint-free four-dimensional variational data assimilation method via a modified Cholesky decomposition and an iterative Woodbury matrix formula ⋮ Analytical and numerical insights into wildfire dynamics: exploring the advection-diffusion-reaction model ⋮ Combined state and parameter estimation in level-set methods ⋮ Global sensitivity analysis of fuel-type-dependent input variables of a simplified physical fire spread model ⋮ Traveling wave solutions for the combustion model of a shear flow in a cylinder ⋮ Mixed Integer PDE Constrained Optimization for the Control of a Wildfire Hazard ⋮ A solution framework for linear PDE-constrained mixed-integer problems ⋮ Affine-mapping based variational ensemble Kalman filter

Uses Software

• EnKF
• DDDAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multiphase formulation for fire propagation in heterogeneous combustible media
• A level set approach for computing solutions to incompressible two-phase flow
• Combustion pseudo-waves in a system with reactant consumption and heat loss
• Numerical solution of the \(1+2\) dimensional Fisher's equation by finite elements and the Galerkin method
• Travelling waves in nonlinear diffusion-convection reaction
• Computational science -- ICCS 2004. 4th international conference, Kraków, Poland, June 6--9, 2004. Proceedings, Part III.
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
• A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion
• Evans function stability of non-adiabatic combustion waves
• Reaction–diffusion pulses: a combustion model
• Enriched finite element methods for unsteady reaction-diffusion problems
• Travelling Combustion Waves in a Porous Medium. Part II—Stability
• Travelling Combustion Waves in a Porous Medium. Part I—Existence
• Updating the Inverse of a Matrix
• Generation and Propagation of Interfaces in Reaction-Diffusion Systems
• On the transition from initial data to travelling waves in the fisher-kpp equation
• Combustion waves in two dimensions and their one-dimensional approximation
• Least‐squares finite element approximation of Fisher's reaction–diffusion equation
• Combustion waves for gases ( Le = 1) and solids ( Le →∞)
• Evans Function Stability of Combustion Waves
• Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation
• A unified model of flames as gasdynamic discontinuities
• “Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example
• Numerical solution of Fisher's equation
• On a wildland fire model with radiation
• Combustion wave speed
• THE RESIDUAL-FREE BUBBLE NUMERICAL METHOD WITH QUADRATIC ELEMENTS
• High order effects in one step reaction sheet jump conditions for premixed flames
• A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions
• Numerical simulation of flames as gas-dynamic discontinuities
• Nonlinear Galerkin method for reaction-diffusion systems admitting invariant regions

This page was built for publication: A wildland fire model with data assimilation