A wildland fire model with data assimilation

Details A wildland fire model with data assimilation A wildland fire model with data assimilation

2007-09-02

arxiv.org/abs/0709.0086v2

Mathematics

Numerical Analysis

35 pages, 12 figures; minor revision January 2008. Original version available from http://www-math.cudenver.edu/ccm/reports

Scientific paper

10.1016/j.matcom.2008.03.015

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.

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