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Permanent link (DOI): https://doi.org/10.7939/R3P55DT3V

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Derivation and investigation of mathematical models for spotting in wildland fire Open Access

Descriptions

Other title
Subject/Keyword
fire
spotting
model
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Martin, Jonathan Michael
Supervisor and department
Hillen, Thomas (Mathematical and Statistical Sciences)
Examining committee member and department
Reuter, Gerhard (Earth and Atmospheric Sciences)
Soung-Ryoul, Ryu (Renewable Resources)
DeVries, Gerda (Mathematical and Statistical Sciences)
Lewis, Mark (Mathematical and Statistical Sciences)
Minev, Peter (Mathematical and Statistical Sciences)
Department
Department of Mathematical and Statistical Sciences
Specialization
Applied Mathematics
Date accepted
2013-09-20T09:59:27Z
Graduation date
2013-11
Degree
Doctor of Philosophy
Degree level
Doctoral
Abstract
Spotting in the context of wildland fire refers to the creation of new fires, downwind from an existing fire front, where the new fires result due to the launch, and subsequent fuel bed ignition upon landing, of burning plant ma- terial released from the main front. We will present a new integro-partial differential equation (i-PDE) model which includes both local spread, com- bustion/extinguishment, and non-local spread due to spotting. We will also present a new model for firebrand transport in the atmosphere, which allows us to incorporate existing physical or empirically-based submodels existing in the literature to obtain the spotting distribution. We will use the spottting distri- bution to investigate the problem of fire fronts breaching obstacles to local fire spread, such as a highway or river, and the spotfire distribution appears as a kernel for the integral term in our i-PDE model. We then investigate travelling wave solutions to the i-PDE model, demonstrating that spotting can increase the rate of spread, or cause acceleration of a fire front’s advance.
Language
English
DOI
doi:10.7939/R3P55DT3V
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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