Seminario del 2013

Gennaio
22
2013
Gianni Pagnini (BCAM, Basque Center for Applied Mathematics - Bilbao)
Seminario di fisica matematica
The ordinary level-set method [1] used for tracking front contours is randomized to include the effects of turbulence.Turbulence randomly transports particle of the medium and therefore the contour gets a random character.The level-set method is randomized by considering a distribution of the contour according to theprobability density function of the turbulent displacement of the medium particles. In particular, this Lagrangian particle approach can be used to study the propagation of a reacting front in turbulent flows. A physical requirement connecting particle turbulent dispersion and the reacting front velocity is obtainedfrom equating the expansion rates of the front progression and of the reactant particles spread, so that the process follows to be fully determined by turbulence characteristics. The application of the method to turbulent premixed combustion is discussed [2]. The physical connection between particle dispersion and the front velocity compares favorably with experimental data. Moreover, in the case of a zero-curvature flame, with a non-Markovian parabolic model for turbulent dispersion, the formulation yields the classical Zimont equation extended to all elapsed times. The formulation extension to consider the acoustic noise is also addressed. The application of the method to model turbulence effects in wildland fire propagation [3] is also discussed. It emerges to be suitable, more than literature approaches based on the level-set method, to simulate the fire overcaming a fire breakzone because of the diffusion of the hot air behind it. [1] Sethian J.A. and Smereka P., Level set methods for fluid interfaces. Annu. Rev. Fluid Mech. 35, 341-372 (2003). [2] Pagnini G. and Bonomi E., Lagrangian formulation of turbulent premixed combustion. Phys. Rev. Lett. 107, 044503 (2011) [3] Pagnini G. and Massidda L., The randomized level-set method to model turbulence effects in woldland fire propagation. In D. Spano, V. Bacciu, M. Salis, C. Sirca (Eds.): Modelling Fire Behaviour and Risk, pp. 126-131. Proceedings of the International Conference on Fire Behaviour and Risk, Alghero, Italy, 4--6 October (2011)

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