On one CA-model of the heat transfer process in a limited area of a heterogeneous underlying surface
UDC
536.2:004.94DOI:
https://doi.org/10.31429/vestnik-18-1-63-70Abstract
Analysis of studies and publications on modeling fires and their consequences demonstrates a growing interest in the use of discrete approaches -- cellular automata (CA), as well as hybrid models.
In the paper, we describe a cellular automata model of the heat transfer process in a section of a heterogeneous underlying surface as a result of local instant ignition, which can serve as a component of a comprehensive model for assessing the fire hazard of a situation to predict the consequences of accidental fires.
The flat area of the underlying surface is represented as an array of cells of the same size. As a characteristic of the state, we took the temperature difference between the cells of the area under consideration and the environment, which is called temperature in this work. We also set the initial states of the array cells (temperature distribution). A certain cell is set on fire by an instant impulse.
We consider the deterministic CA. At discrete times, the change in the states of the cells of the array occurs synchronously according to the local transition functions, which depend on the current state of the cell itself and the state of its four nearest neighbors. For boundary cells, the transition functions we determine according the selected boundary conditions. It is possible to take into account the effect of temperature on the thermophysical properties of the substrate.
The presented examples of the cellular automaton operation simulate the combustion process at the initial stage. The results of the operation of the CA model qualitatively correspond to the physical concepts of the course of the processes under consideration and make it possible to create a visual picture of the evolution of the temperature profile of the selected area of the underlying surface.
Keywords:
heterogeneous substrate, thermal conductivity, cellular automata modeling, deterministic CA, quasilinear problemAcknowledgement
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