A wildland fire model with data assimilation

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

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 3, 584-606

Abstract: A wildfire model is formulated based on balance equations for energy and fuel, where the fuel loss due to combustion corresponds to the fuel reaction rate. The resulting coupled partial differential equations have coefficients that can be approximated from prior measurements of wildfires. An ensemble Kalman filter technique with regularization is then used to assimilate temperatures measured at selected points into running wildfire simulations. The assimilation technique is able to modify the simulations to track the measurements correctly even if the simulations were started with an erroneous ignition location that is quite far away from the correct one.

Keywords: Ensemble Kalman filter; Parameter identification; Reaction-diffusion equations; Partial differential equations; Sensors (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:3:p:584-606

DOI: 10.1016/j.matcom.2008.03.015

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