Modeling wildland fire propagation with level set methods

Computers and Mathematics with Applications

Volumn 57, Issue 7, 2009, Pages 1089-1101

  Mallet, V ^a,b   Keyes, D E ^c   Fendell, F E ^d  

^a INRIA   (France)

^b EDF R AND D   (France)

^c Appl Phys and Appl Math ^*  (United States)

^d NORTHROP GRUMMAN CORPORATION   (United States)

Author keywords

Front propagation; Hamilton Jacobi equations; Level set methods; Multivac software; Wildland fire spread

Indexed keywords

COMPUTER SOFTWARE; DROP BREAKUP; FIRES; FUNCTIONS; MACHINERY; MECHANICS; NUMERICAL METHODS; TWO DIMENSIONAL; VEGETATION;

FRONT PROPAGATION; HAMILTON-JACOBI EQUATIONS; LEVEL SET METHODS; MULTIVAC SOFTWARE; WILDLAND FIRE SPREAD;

LEVEL MEASUREMENT;

EID: 61849088990     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.10.089     Document Type: Article

References (26)

1. Pyne S. Tending fire - Coping with America's Wildland Fires (2004), Island Press
2. Palmer T.N., Shutts G.J., Hagedorn R., Doblas-Reyes F.J., Jung T., and Leutbecher M. Representing model uncertainty in weather and climate prediction. Annual Review of Earth and Planetary Sciences 33 (2005) 163-193
3. Coen J.L. Encyclopedia of Atmospheric Sciences (2003), Academic Press 2,586-2,596
4. Jenkins M.A., Clark T.L., and Coen J.L. Forest fires - Behavior and Ecological Effects (2001), Academic Press 257-302
5. R.C. Rothermel, A mathematical model for predicting fire spread in wildland fuels, USDA Forest Service, Intermountain Forest and Range Experiment Station, Ogden, Research Paper, INT-115, 1972
6. D.W. Carlton, The impact of changing the surface fire spread model, JFSP, 2003
7. Mark A. Finney, FARSITE: Fire area simulator-model development and evaluation, Technical report USDA Forest Service, 1998
8. André J.C.S., Urbano J.M., and Viegas D.X. Forest fire spread models: the local quasi-equilibrium approach. Combustion Science and Technology 178 12 (2006) 2,115-2,143
9. Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79 (1988) 12-49
10. Sethian J.A. Level Set Methods and Fast Marching Methods (1999), Cambridge University Press
11. Fendell F.E., and Wolff M.F. Forest Fires - Behavior and Ecological Effects (2001), Academic Press Chapter Wind-aided fire spread, 171-223
12. Wolff M.F., Carrier G.F., and Fendell F.E. Wind-aided fire spread across arrays of discrete fuel elements. II. Experiment. Combustion Science and Technology 77 (1991) 261-289
13. Lions P.-L. Generalized Solutions of Hamilton-Jacobi Equations. Research Notes in Mathematics vol. 69 (1982), Pitman
14. Crandall M.G., and Lions P.-L. Viscosity solutions of Hamilton-Jacobi equations. Transactions of the American Mathematical Society 277 (1983) 1-42
15. Noh W.F., and Woodward P. A simple line interface calculation. Fith International Conference on Numerical Methods in Fluid Dynamics (1976), Springer-Verlag 330-340
16. Adalsteinsson D., and Sethian J.A. A fast level set method for propagating interfaces. Journal of Computational Physics 118 2 (1995) 269-277
17. Sethian J.A. A fast marching level set method for monotonically advancing fronts. Proceedings of the National Academy of Sciences 93 4 (1996) 1591-1595
18. Crandall M.G., and Lions P.-L. Two approximations of solutions of Hamilton-Jacobi equations. Mathematics of Computation 167 43 (1984) 1-19
19. Souganidis P.E. Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. Journal of Differential Equations 59 1 (1985) 1-43
20. Osher S., and Shu C.-W. High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. SIAM Journal on Numerical Analysis 28 (1991) 907-922
21. Sethian J.A., and Vladimirsky A. Ordered upwind methods for static Hamilton-Jacobi equations. Proceedings of the National Academy of Sciences 98 20 (2001) 11,069-11,074
22. Phan A.-V., and Mallet V. Modeling the growth of Si-based nanofilms by coupling the boundary contour method and level set Multivac. Proceedings of the Tenth International Conference on Composite Engineering (2003) 575-576
23. Chan T.F., and Vese L.A. Active contours without edges. IEEE Transactions on Image Processing 10 2 (2001) 266-277
24. Barth T.J., and Sethian J.A. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. Journal of Computational Physics 145 (1998) 1-40
25. Adalsteinsson D., and Sethian J.A. The fast construction of extension velocities in level set methods. Journal of Computational Physics 148 (1998) 2-22
26. Luke R.H., and McArthur A.G. Bushfires in Australia (1978), Australian Government Publishing Service, Canberra