Application of a nonlinear evolution model to fire propagation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 5, 1997, Pages 2873-2882

  Montenegro, R ^a   Plaza, A ^a   Ferragut, L ^a   Asensio, M I ^a  

^a NONE

Author keywords

Adaptive finite element method; Finite difference; Numerical Simulation

Indexed keywords

EID: 0008496166     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00341-6     Document Type: Article

References (19)

1. GWYNFOR D.R., Numerical simulation of forest fires, Int. J. Num. Meth. Eng. 25, 625-633 (1988).
2. ROTHERMEL R.C., A mathematical model for predicting fire spread in wildland fuels, Research Paper INT-115, USDA Forest Service (1972).
3. BAK P. &CHEN K., A forest-fire model and some thoughts on turbulence, Physics Letters A 147, 297-300 (1993).
4. DROSSEL B. & SCHWABL F., Self-organized critical forest-fire model, Physical Review Letters 69, 1629-1632 (1992).
5. PACZUSKI M. & BAK P., Theory of the one-dimensional forest-fire model, Physical Review E 48, R3214-R3216 (1993).
6. GRASBERGER P., On a self-organized forest-fire model, J. Physics A: Math. Gen., 26 2081-2089 (1993).
7. PATZLAFF H. & TIMPER S., Analytical approach to the forest-fire model, Physics Letters A 189, 187-192 (1993).
8. ZHANG Y., A shape theorem for epidemics and forest fires with finite range iteration, The Annals of Probability 21, 1750-1781 (1993).
9. WILLIAMS F.A., Combustion Theory, Addison-Wesley Publishing Company, 2nd edn., (1985).
10. LARROUTUROU B., The equation of the one-dimensional unsteady flame propagation: Existence and uniqueness, SIAM J. Math. Anal. 19, 32-59 (1988).
11. MONTENEGRO R., MONTERO G., FERRAGUT L. & WINTER G., Application of adaptive finite element methods to convection-diffusion problems in 2-D, (in Spanish), Rev. Int. Met. Num. Ing. 5, 535-560 (1989).
12. FERRAGUT L., MONTENEGRO R. & PLAZA A., Efficient refinement/derefinement algorithm of nested meshes to solve evolution problems, Comm. Num. Meth. Eng. 10, 403-412 (1994).
13. WINTER G., MONTERO G, FERRAGUT L. & MONTENEGRO R., Adaptive strategies using standard and mixed finite elements for wind field adjustment, Solar Energy 54, 49-56 (1995).
14. RATTO C.F. et al., Mass-consistent models for wind fields over complex terrains: The state of the art, Environmental Software 9, 247-268 (1994).
15. HOLMAN J.P., Heat Transfer, McGraw-Hill, 4th edn. (1976).
16. BARROW, Química Física, Reverté, 2nd edn. (1962).
17. HACKBUSH W., Iterative solution of large sparse system of equations, Springer-Verlag (1994).
18. PLAZA A., MONTENEGRO R. & FERRAGUT L., An adaptive refinement/derefinement algorithm of structured grids for solving time-dependent problems, in Numerical Methods in Engineering'92 (Edited by Ch. HIRSCH, O.C. ZIENKIEWICZ and E. OÑATE), pp. 225-232. Elsevier Science Publishers B.V., Amsterdam (1992).
19. ESCOBAR J.M. & MONTENEGRO R., Several aspects of the three-dimensional triangulation of Delaunay, in Advances in Post and Preprocessing for F.E.M. (Edited by M. PAPADRAKAKIS and B.H.V. TOPPING), pp. 193-204. Edinburgh, Scotland (1994).