Deterministic-stochastic approach to compartment fire modelling

V. Bertola, E. Cafaro

Research output: Contribution to journalArticlepeer-review

Abstract

A generalized Semenov model is proposed to describe the dynamics of compartment. res. It is shown that the transitions to flashover or to extinction can be described in the context of the catastrophe theory (or the theory of dynamical systems) by introducing a suitable potential function of the smoke layer temperature. The effect on the. re dynamics of random perturbations is then studied by introducing a random noise term accounting for internal and external perturbations with an arbitrary degree of correlation. While purely Gaussian perturbations (white noise) do not change the behaviour of the. re with respect to the deterministic model, perturbations depending on the model variable ('coloured' noise) may drive the system to different states. This suggests that the compartment. res can be controlled or driven to extinction by introducing appropriate external perturbations.

Original languageEnglish
Pages (from-to)1029-1041
Number of pages13
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume465
Issue number2104
DOIs
Publication statusPublished - 8 Apr 2009

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