IEEE Control Systems · 2009 · 124 citations · 35 references
Natural SciencesEarth SciencesMeteorologyAtmospheric DynamicsNumerical Weather PredictionWeather ForecastingData AssimilationEnsemble ForecastingFire DynamicsFire ModelingFire SimulationFire Spread ProcessesEnsemble Kalman FilterFire SpreadFire Spread ModelsFire Spread PredictionFiresReaction-diffusion EquationsSemi-empirical Fire Spread ModelsWildland Fire Modeling
Two wildland fire models and methods for assimilating data in those models are presented. The EnKF is implemented ina distributed-memory high-performance computing environment. Data assimilation methods are developed combining EnKF with Tikhonov regularization to avoid nonphysical states and with the ideas of registration and morphing from image processing to allow large position corrections. The data assimilation methods can track the data even in the presence of large corrections, while avoiding divergence. The methods can assimilate gridded data, but the assimilation of station data and steering of data acquisition is left to future developments. A semi-empirical fire spread model is implemented by the level-set method and coupled with the WRF model.
35
Analysis Scheme in the Ensemble Kalman Filter
Gerrit Burgers, Peter Jan van Leeuwen, Geir Evensen · Monthly Weather Review · 1998 · 1.9K citations · Full text
Level Set Methods and Dynamic Implicit Surfaces
S Osher, Ronald Fedkiw, K. Piechór · Applied Mechanics Reviews · 2004 · 1.2K citations
Updating the Inverse of a Matrix
William W. Hager · SIAM Review · 1989 · 1.1K citations