Numerical simulation of grassland fires behavior using an implicit physical multiphase model

12 This study reports 3D numerical simulations of the ignition and the propagation of 13 grassland fires. The mathematical model is based on a multiphase formulation and on a 14 homogenization approach that consists in averaging the conservation equations (mass, 15 momentum, energy …) governing the evolution of variables representing the state of the 16 vegetation/atmosphere system, inside a control volume containing both the solid-17 vegetation phase and the surrounding gaseous phase. This preliminary operation results 18 in the introduction of source/sink additional terms representing the interaction between 19 the gaseous phase and the solid-fuel particles. This study was conducted at large scale in 20 grassland because it represents the scale at which the behavior of the fire front presents 21 most similarities with full scale wildfires and also because of the existence of a large 22 number of relatively well controlled experiments performed in Australia and in the 23 United States. The simulations were performed for a tall grass, on a flat terrain, and for 24 six values of the 10-m open wind speed ranged between 1 and 12 m/s. The results are in 25 fairly good agreement with experimental data, with the predictions of operational 26 empirical and semi-empirical models, such as the McArthur model (MK5) in Australia and 27 the Rothermel model (BEHAVE) in USA, as well as with the predictions of other fully 3D 28 physical fire models (FIRETEC and WFDS). The comparison with the literature was 29 mainly based on the estimation of the rate of fire spread (ROS) and of the fire intensity, 30 as well as on the analysis of the fire-front shape. 31 32

[1]  Howard P. Hanson,et al.  The potential and promise of physics-based wildfire simulation , 2000 .

[2]  N. Cheney,et al.  Prediction of Fire Spread in Grasslands , 1998 .

[3]  Leslie M. Smith,et al.  The renormalization group, the ɛ-expansion and derivation of turbulence models , 1992 .

[4]  Nelson K. Akafuah,et al.  Role of buoyant flame dynamics in wildfire spread , 2015, Proceedings of the National Academy of Sciences.

[5]  Dominique Morvan,et al.  Wildfire Behavior Study in a Mediterranean Pine Stand Using a Physically Based Model , 2007 .

[6]  Dominique Morvan,et al.  Numerical Simulation of Turbulent Diffusion Flame in Cross Flow , 1998 .

[7]  Robert W. Bilger,et al.  Turbulent diffusion flames , 1973 .

[8]  J. Nagle,et al.  OXIDATION OF CARBON BETWEEN 1000–2000°C , 1962 .

[9]  J. Cuevas,et al.  Radiative Heat Transfer , 2018, ACS Photonics.

[10]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[11]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[12]  Andrew J. Bannister,et al.  Anatomy of a catastrophic wildfire: The Black Saturday Kilmore East fire in Victoria, Australia , 2012 .

[13]  Dominique Morvan,et al.  Optimized Parallel Approach for 3D Modelling of Forest Fire Behaviour , 2007, PaCT.

[14]  Sophie Papst,et al.  Computational Methods For Fluid Dynamics , 2016 .

[15]  Susan G. Conard,et al.  Synthesis of Knowledge: Fire History and Climate Change , 2011 .

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

[17]  D. Morvan,et al.  Numerical simulation of coherent turbulent structures and of passive scalar dispersion in a canopy sub-layer , 2013 .

[18]  Dominique Morvan,et al.  Efficient Parallelization of the Preconditioned Conjugate Gradient Method , 2009, PaCT.

[19]  William Mell,et al.  Numerical Simulations of Grassland Fire Behavior from the LANL-FIRETEC and NIST-WFDS Models , 2013 .

[20]  James A. Miller,et al.  The Chemkin Thermodynamic Data Base , 1990 .

[21]  J. B. Moss,et al.  Modelling soot formation and thermal radiation in buoyant turbulent diffusion flames , 1991 .

[22]  X. Lee,et al.  Introduction to wildland fire , 1997 .

[23]  A. Sullivan Convective Froude number and Byram’s energy criterion of Australian experimental grassland fires , 2007 .

[24]  Murray Rudman,et al.  Assessment of higher-order upwind schemes incorporating FCT for convection-dominated problems , 1995 .

[25]  Andrew L. Sullivan,et al.  Grassfires: Fuel, Weather and Fire Behaviour , 2009 .

[26]  A. Sullivan A review of wildland fire spread modelling, 1990-present, 1: Physical and quasi-physical models , 2007, 0706.3074.

[27]  Dominique Morvan,et al.  Towards a numerical benchmark for 3D mixed-convection low Mach number flows in a rectangular channel heated from below , 2008 .

[28]  Dominique Morvan,et al.  Modeling the propagation of a wildfire through a Mediterranean shrub using a multiphase formulation , 2004 .

[29]  Wind Effects, Unsteady Behaviors, and Regimes of Propagation of Surface Fires in Open Field , 2014 .

[30]  Dominique Morvan,et al.  Numerical Simulation of Coherent Structures over Plant Canopy , 2011 .

[31]  Dominique Morvan,et al.  Interaction between head fire and backfire in grasslands , 2013 .

[32]  S. L. Manzello,et al.  The wildland-urban interface fire problem - current approaches and research needs , 2010 .

[33]  Dominique Morvan,et al.  Physical Phenomena and Length Scales Governing the Behaviour of Wildfires: A Case for Physical Modelling , 2011 .

[34]  Dominique Morvan,et al.  FireStar3D: 3D finite volume model for the prediction of wildfires behaviour , 2014 .

[35]  Philip Cunningham,et al.  Numerical simulations of grass fires using a coupled atmosphere–fire model: Basic fire behavior and dependence on wind speed , 2005 .

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

[37]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[38]  Lars Schiøtt Sørensen,et al.  An introduction to Computational Fluid Dynamics: The Finite Volume Method , 1999 .

[39]  Dominique Morvan,et al.  Numerical study of the behaviour of a surface fire propagating through a firebreak built in a Mediterranean shrub layer , 2015 .

[40]  E. Oran,et al.  DYNAMICS OF A STRONGLY RADIATING UNSTEADY ETHYLENE JET DIFFUSION FLAME , 1994 .

[41]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[42]  Anil Date,et al.  Introduction to Computational Fluid Dynamics , 2023, essentials.

[43]  Dominique Morvan,et al.  Physical modelling of fire spread in Grasslands , 2009 .

[44]  Tom Beer,et al.  The interaction of wind and fire , 1991 .

[45]  Philip Cunningham,et al.  Using periodic line fires to gain a new perspective on multi-dimensional aspects of forward fire spread , 2012 .

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

[47]  D. Bruce,et al.  Forest Fire Control and Use , 1961 .

[48]  G. Cox,et al.  Combustion fundamentals of fire , 1995 .

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

[50]  N. Cheney,et al.  Fire Growth in Grassland Fuels , 1995 .

[51]  Kevin G. Tolhurst,et al.  Phoenix: Development and Application of a Bushfire Risk Management Tool , 2008 .