A GENERAL MATHEMATICAL FRAMEWORK FOR MODELING 2-DIMENSIONAL WILDLAND FIRE SPREAD

被引：79

作者：

RICHARDS, GD

机构：

[1] Department of Mathematics and Computer Science, Brandon University, Brandon, MB

来源：

INTERNATIONAL JOURNAL OF WILDLAND FIRE | 1995年 / 5卷 / 02期

关键词：

WILDLAND FIRE; FIRE SPREAD MODELING; COMPUTER SIMULATION;

D O I：

10.1071/WF9950063

中图分类号：

S7 [林业];

学科分类号：

0829 ; 0907 ;

摘要：

This work considers the modelling of two dimensional fire spread for heterogeneous fuel and meteorological conditions. Differential equations are used as the modelling form, and a set of partial differential equations that describes fire growth in terms of the rate of spread at each point on the perimeter is derived. These equations require the specification of the rate of spread as a function of the variables affecting it, and form a general modelling framework into which such a function can be placed. To model the relationship between the rate of spread and its affecting factors an analysis of point source ignition fires for homogeneous fuel and meteorological conditions is made. Based on this analysis a spread rate model for heterogeneous conditions is proposed. The resulting differential equations require a sophisticated computer solution, however there are a number of nontrivial fire situations for which solutions can relatively easily be obtained, and example solutions are presented.

引用

页码：63 / 72

页数：10

共 21 条

[1]

Albini F.A., Estimating wildland fire behaviour and effects, U.S.D.A. Forestry Service General Technical Report INT-30, (1976)

[2]

Alexander M.E., Lawson B.D., Lynham T.J., McAlpine R.S., Stocks B.J., Van Wagner C.E., Development and structure of the Canadian Forest Fire Behaviour Prediction System, Forestry Canada Fire Danger Group, Information Report, ST-X-3, (1992)

[3]

Anderson D.H., Catchpole E.A., De Mestre N.J., Parkes T., Modelling the spread of grass fires, Journal Australian Mathematical Society (Ser. B), 23, pp. 451-466, (1982)

[4]

Ball G.L., Guertin D.P., Simulation of fire growth, International Journal Wildland Fire, 2, pp. 47-54, (1992)

[5]

Catchpole E.A., De Mestre N.J., Gill A.M., Intensity of a fire at its perimeter, Australian Forestry Research, 12, pp. 47-54, (1982)

[6]

Curry J.R., Fons W.L., Rate of spread of surface fires in ponderosa pine type of California, Journal of Agriculture Research, 57, pp. 239-267, (1938)

[7]

Feunekes U., Error analysis in fire simulation models, M.Sc. Thesis, (1991)

[8]

Fons W.L., Analysis of fire spread in light forest fuels, Journal Agricultural Research, 72, pp. 93-121, (1946)

[9]

French I.A., Erson D.H., Catchpole E.A., Graphical simulation of bushfire spread, Mathematical and Computer Modelling, 13, pp. 67-71, (1990)

[10]

French I.A., Visualisation techniques for the computer simulation of bushfires in two dimensions, M.Sc. Thesis, (1992)

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