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This chapter describes the interactions between three-dimensional fuel metrics, intrinsic fuel properties, plant functional traits, and physical characteristics of fuels that inform a new understanding of fire and vegetation feedbacks. The integration of these themes introduces a new synthetic model of fire–vegetation feedbacks. Interrelated concepts of fire, fluid flow, functional traits, and computational fluid dynamics fire behavior models are discussed within the synthetic model framework.
To “spread like wildfire” is a phrase used to describe something that propagates unexpectedly, rapidly, and incessantly. Much of the unpredictable behavior of a wildfire stems from processes including the heat released from the combustion zone (flames), the structure and condition of fuels, the wind field and turbulence driving the fire, and terrain. However, the chemical make-up of the biomass fuel that powers a wildfire also provides a source for the capricious nature of combustion and the behavior of wildfires. This chapter provides a brief overview of the chemistry of biomass fuels and the chemical processes by which such fuels combust and release the energy that enables the fire to become self-sustaining. It then looks in some detail at the mechanisms through which the combustion chemistry driving the heat release from the fuels is influenced by the environment surrounding the combustion zone. In the worst instances these mechanisms can result in fire behavior that causes widespread death and destruction often over a very short period of time. In the best instances they enable fire to be used as a reliable tool for reducing the hazard present in the wild landscapes of our countryside and surrounding our homes.
We present a discussion of the structure of line fires, a canonical configuration in wildland fire research. This configuration allows detailed studies of the effects of wind and sloped terrain on heat transfer and fire spread mechanisms at flame scale. We emphasize in the discussion the existence of two limiting flame regimes in line fires: the plume-dominated regime, in which the flame is detached from the ground, and the wind or slope-driven regime, in which the flame is attached to that surface. These two regimes correspond to dramatically different flame structures, flow patterns, modes of heat transfer, and flame spread mechanisms. The transition between the two flame regimes is discussed in terms of critical values of Byram's convection number or slope angle. We limit our discussion to a simplified configuration corresponding to gas-fueled flames. Hence the heat release rate of the flame is controlled and the flame is non-spreading; difficulties associated with real wildland fuel are left out of the discussion. The structure of the line fires is discussed through results from high-resolution simulations of laboratory-scale flames based on a large eddy simulation (LES) approach. Additional insight is also obtained through a scaling analysis based on an integral model.
This chapter reviews the current state of knowledge on steps in the process of generating a spot fire. Firebrand formation and data on the size and shape of firebrands generated from wildfires are described. Various elements of firebrand lofting and transport modeling, including firebrand aerodynamics, the fire plume characteristics, models for the ambient wind field, model coupling, experimental results, and a discussion on the sensitivity of the model predictions to the inevitable uncertainty in the model input parameters, are examined. Recent work on the physics of firebrand deposition and spot fire generation is noted.
This chapter presents a synopsis of some of the latest developments in our understanding of pyroconvective interactions, their links to fire geometrym and their role in driving dynamic fire behavior and extreme wildfire development. We highlight the need to augment traditional quasi-steady wildfire modeling paradigms with more sophisticated approaches that combine highly-instrumented, larger-scale experimental studies with state-of-the-art computational modeling. We identify the need to take maximum advantage of technical advances in remote sensing technology to provide new ways of observing extreme fire events.
This chapter describes the fundamental mechanisms of energy transport in and near the flaming front. Convective and radiative processes that generate ignition and subsequent fire spread, the transport of heat in different forms, through and around fuels, both horizontally and vertically, as well as energy measurement considerations are discussed.
This paper looks at adapting the method of Medvedev and Scaillet for pricing short-term American options to evaluate short-term convertible bonds. However unlike their method, we provide explicit formulae for the coefficients of our series solution. This means that we do not need to solve complicated recursive systems, and can efficiently provide fast solutions. We also compare the method with numerical solutions, and find that it performs extremely well, giving accurate bond prices as well as accurate optimal conversion prices.
Wildland fires are among the most complicated environmental phenomena to model. Fire behavior models are commonly used to predict the direction and rate of spread of wildland fires based on fire history, fuel, and environmental conditions; however, more sophisticated computational fluid dynamic models are now being developed. This quantitative analysis of fire as a fluid dynamic phenomenon embedded in a highly turbulent flow is beginning to reveal the combined interactions of the vegetative structure, combustion-driven convective effects, and atmospheric boundary layer processes. This book provides an overview of the developments in modeling wildland fire dynamics and the key dynamical processes involved. Mathematical and dynamical principles are presented, and the complex phenomena that arise in wildland fire are discussed. Providing a state-of-the-art survey, it is a useful reference for scientists, researchers, and graduate students interested in wildland fire behavior from a broad range of fields.