The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An elliptical growth model of forest fire fronts and its numerical solution
Abstract
A system of differential equations that describe the growth of a forest fire front in time for variable fuel, weather and topographical conditions is derived. The system is first order, non‐linear and contains parameters that can be obtained from forestry data. A finite difference solution is presented, together with its inherent problems and their solution. Results are presented for a variety of situations that include variable fuel, wind and fire breaks. It is found that the equations and their solution efficiently produce simulations for complex problems.
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Citations
Cites
Cellular automata as models of complexity
Wolfram, S. (1984) · Nature · doi:10.1038/311419a0 · Cited by 1,507
Cited by
Design of Regular Landscape Fuel Treatment Patterns for Modifying Fire Growth and Behavior
Finney, M. A. (2001) · Forest Science · doi:10.1093/forestscience/47.2.219 · Cited by 437
Ager, A. A., Vaillant, N. M., & Finney, M. A. (2010) · Forest Ecology and Management · doi:10.1016/j.foreco.2010.01.032 · Cited by 308
Metadata
- Authors
- Richards, G. D.
- Venue
- International Journal for Numerical Methods in Engineering
- Publisher
- Wiley
- Published
- 1990-10-20
- Volume
- 30
- Issue
- 6
- Pages
- 1163-1179
- ISSN
- 0029-5981 (ISSN-L)
- 1097-0207
- OpenAlex
- W2051716701
- Cited by
- 232
- References
- 1
- FWCI
- 2.87
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: An elliptical growth model of forest fire fronts and its numerical solution. https://app.cochat.ai/papers/10.1002/nme.1620300606
- The paper
- Richards, G. D. (1990). An elliptical growth model of forest fire fronts and its numerical solution. International Journal for Numerical Methods in Engineering. https://doi.org/10.1002/nme.1620300606
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
