A discrete geometry model of fire propagation in urban areas

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• Daniel Jones (INRIA and Ecole Polytechnique, France)
• Wednesday 15 November 2017, 13:45-14:30
• LTB Watson.

If you have a question about this talk, please contact Sergey Sergeev.

part of: LMS Workshop on Tropical Mathematics and its Applications

We explore the phenomenon of fire propagation in urban areas using a discrete geometry model. Fires of this kind are fundamentally different to, say, wildland fires. In the latter, Hamilton-Jacobi PDEs have been used and the fire-front is found to be elliptical according to some parameters. Fire propagation in cities, however, is inherently discrete and we discuss the geometry of the cellular automata model here. The main theoretical result states that the long term fire front is a polyhedral ball. The theory can be viewed as an extension of tropical spectral theory to lattices. We finally give some suggestions for incorporating the theory into a working model for fire simulation and show some videos demonstrating the early stages of such a model. It is also interesting to look at famous fires from history to see the theory in action.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

This talk is included in these lists:

• LTB Watson
• Optimisation and Numerical Analysis Seminars
• School of Mathematics events

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