Abstract
This paper presents an application of a general Monte Carlo integration method, coupled with an explicit euler time discretization to the numerical solution of an integro-differential forest fire propagation model. In this model, the time variation of the enthalpy of the fuel bed is given in terms of radiative heat transfer and radiative and convective heat loss terms. The radiative heat exchange is given by a local flame model This approach results in a convolution integral between the heat generated by combustion and an empirical shape function.
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Macedo, A.P., Brasil, A.C.P. (1995). A Coupled Monte Carlo/Explicit Euler Method for the Numerical Simulation of a Forest Fire Spreading Model. In: Niederreiter, H., Shiue, P.JS. (eds) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing. Lecture Notes in Statistics, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2552-2_21
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DOI: https://doi.org/10.1007/978-1-4612-2552-2_21
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