W. T. Sommers, S. G. Coloff, and S. G. Conard, Synthesis of Knowledge: Fire History and 934

, Climate Change, JFSP Synth. Reports. Pap, vol.19, 2011.

R. J. Whelan, The ecology of fire, 1995.

J. D. Cohen, The wildland-urban interface fire problem, Fremontia, vol.38, pp.16-22, 2010.

W. E. Mell, S. L. Manzello, A. Maranghides, D. Butry, and R. G. Rehm, The wildland-urban 938 interface fire problem -current approaches and research needs, Int. J. of Wildland 939 Fire, vol.19, pp.238-251, 2010.

H. P. Hanson, M. M. Bradley, J. E. Bossert, R. R. Linn, and L. W. Younker, The potential and 941 promise of physics-based wildfire simulation, Environ. Sci. Policy, vol.3, pp.161-172, 2000.

M. A. Finney and K. C. Ryan, Use of the FARSITE Fire Growth Model for Fire Prediction in 943

U. S. Parks, Int. Emerg. Manag. Eng. Conf, p.186, 1995.

A. M. Grishin, Mathematical modeling of forest fires and new methods of fighting 945 them, 1997.

D. Morvan and J. L. Dupuy, Modeling the propagation of a wildfire through a 947

, Mediterranean shrub using a multiphase formulation, Combust. Flame, vol.138, 2004.

D. Morvan, S. Meradji, and G. Accary, Wildfire Behavior Study in a Mediterranean Pine 950

, Stand Using a Physically Based Model, Combust. Sci. Technol, vol.180, pp.1-19, 2008.

D. Morvan, S. Meradji, and G. Accary, Physical modeling of fire spread in Grasslands, Fire 952 Safety Journal, vol.44, pp.50-61, 2008.

R. R. Linn, J. M. Canfield, P. Cunningham, C. Edminster, J. L. Dupuy et al., Using 954 periodic line fires to gain a new perspective on multi-dimensional aspects of forward 955 fire spread, Agric. For. Meteorol, vol.157, pp.60-76, 2012.

W. R. Catchpole, E. A. Catchpole, B. W. Butler, R. C. Rothermel, G. A. Morris et al., , p.957

, Rate of Spread of Free-Burning Fires in Woody Fuels in a Wind Tunnel, Combust. Sci

. Technol, , vol.131, pp.1-37, 1998.

N. P. Cheney, J. S. Gould, and W. R. Catchpole, Prediction of fire spread in grasslands, Int. J. 960 of Wildland Fire, vol.8, pp.1-13, 1998.

C. B. Clements, S. Zhong, S. Goodrick, J. Li, B. E. Potter et al.,

R. Charney, M. Perna, D. Jang, M. Lee, S. Patel et al., Observing the 963 dynamics of wildland grass fires: FireFlux -A field validation experiment, Bull. Am

, Meteorol. Soc, vol.88, pp.1369-1382, 2007.

D. Morvan, Physical phenomena and length scales governing the behavior of 966 wildfires: a case for physical modelling, Fire Technology, vol.47, pp.437-460, 2011.

R. R. Linn and P. Cunningham, Numerical simulations of grass fires using a coupled 968 atmosphere -fire model: Basic fire behavior and dependence on wind speed

, Geophys. Res, vol.110, p.13107, 2005.

K. W. Mell, A. Maranghides, R. Mcdermott, and S. L. Manzello, Numerical simulation and 971 experiments of burning douglas fir trees, Combust. Flame, vol.156, pp.2023-2041, 2009.

Y. Horibata, Numerical simulation of a low-Mach-number flow with a large 973 temperature variation, Computers and Fluids, vol.21, issue.2, pp.185-200, 1992.

N. D. Burrows, Flame residence times and rates of weight loss of eucalypt forest fuel 975 particles, Int. J. of Wildland Fire, vol.10, pp.137-143, 2001.

N. P. Cheney, Fire and the Australian 977 biota, p.151, 1981.

C. D. Blasi, C. Branca, A. Santoro, and E. G. Hernandez, Pyrolytic behavior and 979 products of some wood varieties, Combust. Flame, vol.124, pp.165-177, 2001.

P. Mindykowski, A. Fuentes, J. L. Consalvi, and B. Porterie, Piloted ignition of wildland 981 fuels, Fire Safety Journal, vol.46, pp.34-40, 2011.

D. D. Evans and H. W. Emmons, Combustion of wood charcoal, Fire Research, vol.1, p.57, 1977.

A. P. Dimitrakopoulos, Thermogravimetric analysis of Mediterranean plant species

, Anal. Appl. Pyrolysis, vol.60, pp.123-130, 2001.

C. Moro, Equipe Prévention Des Incend. Forêt, vol.987, 1997.

F. P. Incropera and D. P. Dewitt, Fundamentals of Heat and Mass Transfer, p.989

. Sons, , 1996.

A. Favre, L. S. Kovasznay, R. Dumas, J. Gaviglio, and M. Coantic, La turbulence en 991 mécanique des fluides, 1976.

S. Paolucci, On the filtering of sound from the Navier Stokes equations, 1982.

R. J. Kee, F. M. Rupley, and J. A. Miller, The CHEMKIN Thermodynamic Data Base, Natl. Lab, 1990.

C. R. Kaplan, C. R. Shaddix, and K. C. Smyth, Computations of enhanced soot production in 997 time-varying CH4/air diffusion flames, Combust. Flame, vol.106, pp.392-405, 1996.

G. Cox, Combustion fundamentals of fire, 1995.

S. A. Orszag, I. Staroselsky, W. S. Flannery, and Y. Zhang, Introduction to renormalization 1000 group modeling of turbulence, Simul. Model. Turbul. Flows, pp.155-183, 1996.

G. G. Katul, L. Mahrt, D. Poggi, and C. Sanz, One and two equation models for canopy 1002 turbulence, Boundary-Layer Meteorology, vol.113, pp.81-109, 2004.
DOI : 10.1023/b:boun.0000037333.48760.e5
URL : http://nicholas.duke.edu/people/faculty/katul/katul_blm_k_epsilon.pdf

B. F. Magnussen and B. H. Hjertager, On mathematical modeling of turbulent diffusion 1004 flame in cross flow, Combust. Sci. Technol, vol.140, pp.93-122, 1998.

Z. Q. Li, F. Wei, and Y. Jin, Numerical simulation of pulverized coal combustion and NO 1006 formation, Chem. Eng. Sci, vol.58, pp.5161-5171, 2003.
DOI : 10.1016/j.ces.2003.08.012

K. J. Syed, C. D. Stewart, and J. B. Moss, Modelling soot formation and thermal radiation in 1008 buoyant turbulent diffusion flames, Combust. Inst, vol.23, pp.1533-1541, 1991.
DOI : 10.1016/s0082-0784(06)80423-6

J. B. Moss and G. Cox, Turbulent Diffusion Flame, vol.21, pp.221-1010, 1990.

J. Nagle and R. F. Strickland-constable, Oxidation of Carbon Between 1000-2000 C, Proc. 1012 Fifth Carbon Conf, vol.1, pp.154-164, 1962.

C. R. Kaplan, S. W. Baek, E. S. Oran, and J. L. Ellzey, Dynamics of a strongly radiating 1014 unsteady ethylene jet diffusion flame, Combust. Flame, pp.1-21, 1994.

H. K. Versteeg and M. Malalasekera, An Introduction to Computational Fluid Dynamics

, The Finite Volume Method, 2nd Editiont, 2007.

D. Morvan and M. Larini, Modeling of one dimensional fire spread in pine needles with 1018 opposing air flow, Combust. Sci. Technol, vol.164, pp.37-64, 2001.

D. Morvan, Physical phenomena and length scales governing the behaviour of 1020 wildfires, Fire Technology, vol.47, pp.437-460, 2011.

P. M. Gresho, R. L. Lee, and R. C. Sani, On the time-dependent solution of the incompressible 1022

, Navier-Stokes equations in two and three dimensions, Recent Adv. Numer. Methods 1023 Fluids, vol.1, pp.27-79, 1979.

B. P. Leonard, A stable and accurate convective modeling procedure based on 1025 quadratic interpolation, Comput. Methods Appl. Mech. Eng, vol.19, pp.59-98, 1979.

D. S. Jang, R. Jetli, and S. Acharya, Comparison of the Piso , Simpler , and Simplec, p.1027

, Algorithms for the Treatment of the Pressure-Velocity Coupling in Steady Flow 1028

N. H. Problems and . Transf, An Int. J. Comput. Methodol, vol.10, pp.209-228, 1986.

R. Barrett, M. Berry, T. F. Chan, J. Demmel, J. M. Donato et al.,

C. Pozo, H. Romine, . Van-der, and . Vorst, Templates for the Solution of Linear Systems: 1031 Building Blocks for Iterative Methods, 1994.

G. Accary, O. Bessonov, D. Fougère, K. Gavrilov, S. Meradji et al., Efficient 1033 parallelization of the preconditioned conjugate gradient method, Lect. Notes Comput

. Sci, Including Subser, Lect. Notes Artif. Intell. Lect. Notes Bioinformatics), vol.5698, pp.60-72, 2009.

A. J. Chorin, A numerical method for solving the incompressible and low speed 1037 compressible equations, J. Comput. Phys, vol.137, pp.118-125, 1997.

M. F. Modest, Radiative heat transfer, 2003.

G. Accary, O. Bessonov, D. Fougère, S. Meradji, and D. Morvan, Optimized Parallel 1040 Approach for 3D Modelling of Forest Fire Behaviour, PaCT 1041 2007, vol.4671, pp.96-102, 2007.

G. Accary, S. Meradji, D. Morvan, and D. Fougère, Towards a numerical benchmark for 3D 1043 mixed-convection low Mach number flows in a rectangular channel heated from 1044 below, Fluid Dyn. Mater. Process, vol.141, pp.1-7, 2008.

J. L. Dupuy, R. R. Linn, V. Konovalov, F. Pimont, J. A. Vega et al., Exploring three-1046 dimensional coupled fire-atmosphere interactions downwind of wind-driven surface 1047 fires and their influence on backfires using the HIGRAD-FIRETEC model, Int. J. of 1048 Wildland Fire, vol.20, issue.6, pp.734-750, 2011.

D. Morvan, S. Méradji, and W. Mell, Interaction between head fire and backfire in grasslands, Fire Safety Journal, vol.58, pp.195-203, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01030810

J. L. Dupuy, J. Maréchal, and D. Morvan, Fires from a cylindrical forest fuel burner: 1052 combustion dynamics and flame properties, Combust. Flame, vol.135, pp.65-76, 2003.

Y. Wang, P. Chatterjee, and J. L. De-ris, Large Eddy Simulation of Fire Spread

, Combust. Inst, vol.33, pp.2473-2480, 2011.

M. E. Houssami, J. C. Thomas, A. Lamorlette, D. Morvan, M. Chaos et al.,

, Experimental and numerical studies characterizing the burning dynamics of wildland 1057 fuels, Combust. Flame, vol.168, pp.113-126, 2016.