Algorithms for Parallelizing a Mathematical Model of Forest Fires on Supercomputers and Theoretical Estimates for the Efficiency of Parallel Programs

Abstract

The author develops algorithms of parallel implementation of a mathematical model of forest fires to model processes of their occurrence, development, and propagation taking into account physical and chemical processes. Approaches to parallel implementation and schemes of decomposition of solution domains for two-dimensional cases are proposed. Coarse-grained parallelization methods are proposed to be used in the SPMD model of calculations. Formulas are given that make it possible to theoretically estimate the efficiency of parallel programs.

Spatial Mathematical Model of Heat Transfer in Human Skin Influenced by Heated up to High Temperatures Particle

“…Such systems, in turn, can find application in structures of the Ministry of Emergency Measures, medical institutions and departments of protection works or a civil defense at the industrial enterprises. It is necessary to notice, that development of the complex deterministic-probabilistic approach on the basis of methods of the forest fire danger forecast [21][22][23][24], information-computational technologies [25][26][27] taking into account the developed mathematical models of heat transfer in human skin is possible. Such system will allow to predict as forest fire danger, and as to estimate influence of fires on the persons.…”

Mathematical Modeling of Thermal Influence from Forest Fire Front on a Coniferous Tree Trunk

“…As it has been told above, development of similar models opens prospects to creation of new generation of information systems on the basis of the determined mathematical models. Development of the complex deterministicprobabilistic approach of an estimation of ecological consequences of forest fires with attraction of results from prognostic modeling of forest fire danger [13][14][15], mathematical models of influence of forest fires on the human [16,17] and modern information technologies [18,19] is possible…”

Technologies of Physical Monitoring and Mathematical Modeling for Estimation of Ground Forest Fuel Fire Condition

“…Data of supervision which can be used at operation of the determined mathematical models of drying and ignition of forest fuel layer obtained [17][18][19]. The hardware-software network of forest fire danger monitoring in controllable forest territories can be created on the basis of such installations and the software realizing of mathematical models of drying and ignition of forest fuel [20][21][22][23].…”