Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 33, 1998 - Issue 3
22
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

ELABORATION OF AN EVOLVING CALCULATION DOMAIN FOR THE RESOLUTION OF A FIRE SPREAD MODEL

Pages 279-298 | Received 20 Jun 1997, Accepted 01 Oct 1997, Published online: 15 Mar 2007
 

Abstract

In a previous study, we proposed a two-dimensional reaction-diffusion equation to model fire spread. Our objective is to generate a forest fire simulator. This led us to develop a resolution algorithm capable of reducing the calculation time. This algorithm, applied to the finite difference method, is described here. The solution is calculated for only a certain number of points of the study domain. The calculation domain is dynamically decreased or increased according to the evolution of the solution. The algorithm tested for the fire spread model can be used to solve all reaction-diffusion equations that possess a spreading solution.

Notes

Address correspondence to Dr. Paul-Antoine Santoni, Universite de Corse, S.D.E.M. U.R.A.-C.N.R.S. 2053, Campus Grossetti, B.P. 52, 20250 Corte, France. E-mail: [email protected]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.