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A wildland fire model with data assimilation

Author

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

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.

Suggested Citation

  • Mandel, Jan & Bennethum, Lynn S. & Beezley, Jonathan D. & Coen, Janice L. & Douglas, Craig C. & Kim, Minjeong & Vodacek, Anthony, 2008. "A wildland fire model with data assimilation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 584-606.
    • Handle: RePEc:eee:matcom:v:79:y:2008:i:3:p:584-606
    DOI: 10.1016/j.matcom.2008.03.015
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    References listed on IDEAS

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    1. Mickens, Ronald E., 2005. "A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 69(5), pages 439-446.
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    Cited by:

    1. María Consuelo Casabán & Rafael Company & Vera N. Egorova & Lucas Jódar, 2023. "Qualitative Numerical Analysis of a Free-Boundary Diffusive Logistic Model," Mathematics, MDPI, vol. 11(6), pages 1-19, March.
    2. Asensio-Sevilla, M.I. & Santos-Martín, M.T. & Álvarez-León, D. & Ferragut-Canals, L., 2020. "Global sensitivity analysis of fuel-type-dependent input variables of a simplified physical fire spread model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 172(C), pages 33-44.

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