Calculation of Spotting Particles Maximum Distance in Idealised Forest Fire Scenarios

Large eddy simulation of the wind surface layer above and within vegetation was conducted in the presence of an idealised forest fire by using an equivalent volumetric heat source. Firebrand’s particles are represented as spherical particles with a wide range of sizes, which were located into the combustion volume in a random fashion and are convected in the ascending plume as Lagrangian points. The thermally thin particles undergo drag relative to the flow and moisture loss as they are dried and pyrolysis, char-combustion, and mass loss as they burn. The particle momentum, heat and mass transfer, and combustion governing equations were computed along particle trajectories in the unsteady 3D wind field until their deposition on the ground. The spotting distances are compared with the maximum spotting distance obtained with Albini model for several idealised line grass or torching trees fires scenarios. The prediction of the particle maximum spotting distance for a 2000 kW/m short grass fire compared satisfactorily with results from Albini model and underpredicted by 40% the results for a high intensity 50000 kW/m fire. For the cases of single and four torching trees the model predicts the maximum distances consistently but for slightly different particle diameter.

[1]  F. Albini,et al.  A model for the wind-blown flame from a line fire , 1981 .

[2]  Kenneth Häggkvist,et al.  A two-equation turbulence model for canopy flows , 1990 .

[3]  Lisa M. Elenz,et al.  Developing the US Wildland Fire Decision Support System , 2011 .

[4]  Dennis D. Baldocchi,et al.  Turbulence structure in a deciduous forest , 1988 .

[5]  V. Schilling A parameterization for modelling the meteorological effects of tall forests — A case study of a large clearing , 1991 .

[6]  M. E. Alexander,et al.  A mathematical model for predicting the maximum potential spotting distance from a crown fire , 2012 .

[7]  Bernard Porterie,et al.  Experimental validation of a numerical model for the transport of firebrands , 2009 .

[8]  J. Pereira,et al.  Finite Volume Calculations of Self-Sustained Oscillations in a Grooved Channel , 1993 .

[9]  David R. Weise,et al.  Experimental study and large eddy simulation of effect of terrain slope on marginal burning in shrub fuel beds , 2007 .

[10]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[11]  Christophe Sanz,et al.  ONE- and TWO-Equation Models for Canopy Turbulence , 2004 .

[12]  I. K. Knight The Design and Construction of a Vertical Wind Tunnel for the Study of Untethered Firebrands in Flight , 2001 .

[13]  Ulrich Schumann,et al.  Large-eddy simulation of turbulent flow above and within a forest , 1992 .

[14]  R. Burgan,et al.  BEHAVE : Fire Behavior Prediction and Fuel Modeling System -- FUEL Subsystem , 1984 .

[15]  J. Deardorff,et al.  A three‐dimensional numerical investigation of the idealized planetary boundary layer , 1970 .

[16]  T. Clark,et al.  Description of a coupled atmosphere–fire model , 2004 .

[17]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[18]  P. Andrews BEHAVE : Fire Behavior Prediction and Fuel Modeling System - BURN Subsystem, Part 1 , 1986 .

[19]  A. Carlos Fernandez-Pello,et al.  Modeling transport and combustion of firebrands from burning trees , 2007 .

[20]  F. Usda,et al.  Transport of Firebrands by Line Thermals , 1983 .

[21]  A. Sullivan,et al.  Forest fire research: the latest advances tools for understanding and managing wildland fire , 2011 .

[22]  Samuel L. Manzello,et al.  On the development and characterization of a firebrand generator , 2008 .

[23]  G. A. Davidson Gaussian versus top-hat profile assumptions in integral plume models , 1986 .

[24]  Dorian Liepmann,et al.  Brand Propagation From Large-Scale Fires , 1999 .

[25]  Domingos Xavier Viegas,et al.  Numerical prediction of size, mass, temperature and trajectory of cylindrical wind-driven firebrands , 2014 .

[26]  F. E. Rogers,et al.  Kinetics of Cellulose Pyrolysis in Nitrogen and Steam , 1980 .

[27]  N. Kalthoff,et al.  On the profiles of wind velocity in the roughness sublayer above a coniferous forest , 1997 .

[28]  M. Zastawny,et al.  Derivation of drag and lift force and torque coefficients for non-spherical particles in flows , 2012 .

[29]  P. Pagni,et al.  Combustion Models for Wooden Brands. , 1999 .

[30]  Mary Ann Jenkins,et al.  Comparison of Firebrand Propagation Prediction by a Plume Model and a Coupled–Fire/Atmosphere Large–Eddy Simulator , 2010 .

[31]  P. Mason Large‐eddy simulation: A critical review of the technique , 1994 .

[32]  Domingos Xavier Viegas,et al.  Forest fire propagation , 1998, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[33]  David R. Weise,et al.  Firebrands and spotting ignition in large-scale fires , 2010 .

[34]  J. Gore,et al.  Transient combustion in a turbulent eddy , 1991 .

[35]  José M. C. Pereira,et al.  Adaptive mesh finite-volume calculation of 2D lid-cavity corner vortices , 2013, J. Comput. Phys..

[36]  Andreas Hölzer,et al.  New simple correlation formula for the drag coefficient of non-spherical particles , 2008 .

[37]  Zhigang Liu,et al.  A review of water mist fire suppression systems: fundamental studies , 1999 .

[38]  B. Porterie,et al.  Modelling thermal degradation of woody fuel particles , 2007 .

[39]  José M. C. Pereira,et al.  Residual Least-Squares Error Estimate for Unstructured h-Adaptive Meshes , 2015 .

[40]  J. Lopes,et al.  Improving a Two-Equation Turbulence Model for Canopy Flows Using Large-Eddy Simulation , 2013, Boundary-Layer Meteorology.

[41]  Samuel L. Manzello,et al.  Firebrand Generation Data Obtained from a Full Scale Structure Burn | NIST , 2011 .

[42]  R. Rothermel A Mathematical Model for Predicting Fire Spread in Wildland Fuels , 2017 .

[43]  R. A. Anthenien,et al.  On the trajectories of embers initially elevated or lofted by small scale ground fire plumes in high winds , 2006 .

[44]  Kevin B. McGrattan,et al.  Numerical simulation of smoke plumes from large oil fires , 1996 .

[45]  R. Stull,et al.  Application of transilient turbulent theory to study interactions between the atmospheric boundary layer and forest canopies , 1996 .

[46]  Michael Schatzmann An integral model of plume rise , 1979 .

[47]  Jose C. F. Pereira,et al.  A multidimensional model for simulating vegetation fire spread using a porous media sub-model , 2000 .

[48]  A. F. Roberts A review of kinetics data for the pyrolysis of wood and related substances , 1970 .

[49]  Carlos Sánchez Tarifa,et al.  On the flight pahts and lifetimes of burning particles of wood , 1965 .

[50]  Ana Isabel Miranda,et al.  Effect of particle orientation and of flow velocity on the combustibility of Pinus pinaster and Eucalyptus globulus firebrand material , 2011 .

[51]  G. Cox,et al.  Field Modelling of Fire in Forced Ventilated Enclosures , 1987 .

[52]  A. C. Fernandez-Pello,et al.  An Investigation of Steady Wall-Ceiling and Partial Enclosure Fires , 1984 .

[53]  Frank,et al.  Potential Spotting Distance from Wind-Driven Surface Fires , 2008 .

[54]  H. Baum,et al.  Smoke Dispersion from Multiple Fire Plumes , 1999 .

[55]  Lester L. Yuan,et al.  Large-eddy simulations of a round jet in crossflow , 1999, Journal of Fluid Mechanics.

[56]  S.-L. Lee,et al.  Firebrand trajectory study using an empirical velocity-dependent burning law , 1970 .

[57]  Geoffry N. Mercer,et al.  Plumes Above Line Fires In a Cross Wind , 1994 .

[58]  R. Rothermel,et al.  How to Predict the Spread and Intensity of Forest and Range Fires , 2017 .

[59]  A. Thom,et al.  Turbulence in and above Plant Canopies , 1981 .

[60]  John R. Coleman,et al.  A real-time computer application for the prediction of fire spread across the Australian landscape , 1996, Simul..

[61]  F. Durst,et al.  The plane Symmetric sudden-expansion flow at low Reynolds numbers , 1993, Journal of Fluid Mechanics.

[62]  E. Pastor,et al.  Mathematical models and calculation systems for the study of wildland fire behaviour , 2003 .

[63]  P. Sagaut Large Eddy Simulation for Incompressible Flows , 2001 .

[64]  Mark A. Finney,et al.  A Review of Fire Interactions and Mass Fires , 2011 .

[65]  J. Pereira,et al.  The effect of subgrid-scale models on the vortices computed from large-eddy simulations , 2004 .

[66]  J. Pereira,et al.  Numerical study of the turbulent flow over and in a model forest on a 2D hill , 1994 .

[67]  Rodman R. Linn,et al.  Modelling firebrand transport in wildfires using HIGRAD/FIRETEC , 2012 .

[68]  Dominique Morvan,et al.  Firespread through fuel beds: Modeling of wind-aided fires and induced hydrodynamics , 2000 .

[69]  David R. Miller,et al.  Air flow over and through a forest edge: A steady-state numerical simulation , 1990 .

[70]  Jean-Baptiste Filippi,et al.  Simulation of Coupled Fire/Atmosphere Interaction with the MesoNH-ForeFire Models , 2010 .

[71]  Jose C. F. Pereira,et al.  Analysis of the gradient-diffusion hypothesis in large-eddy simulations based on transport equations , 2007 .

[72]  Colomba Di Blasi,et al.  Modeling chemical and physical processes of wood and biomass pyrolysis , 2008 .

[73]  Ulrich Schumann,et al.  Coherent structure of the convective boundary layer derived from large-eddy simulations , 1989, Journal of Fluid Mechanics.

[74]  Nicole M. Vaillant,et al.  Integrating Fire Behavior Models and Geospatial Analysis for Wildland Fire Risk Assessment and Fuel Management Planning , 2011 .

[75]  Günter Gross,et al.  Numerical simulation of canopy flows , 1993 .

[76]  Numerical prediction of fire spread over vegetation in aribitrary 3D terrain , 1995 .

[77]  W. Mell,et al.  A physics-based approach to modelling grassland fires , 2007 .

[78]  H. Baum,et al.  Large eddy simulations of smoke movement , 1998 .

[79]  Howard R. Baum,et al.  Fire Induced Flow Field - Theory And Experiment , 1989 .

[80]  Samuel L. Manzello,et al.  Numerical simulation and experiments of burning douglas fir trees , 2009 .

[81]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .