Natalija A. A software of a system of automation of accounts of physico-mechanical fields

The thesis is devoted to development and analysis of mathematical models of water and heat transfer processes, stressedly-deformed condition of a ground medium; development of mathematical modelling and research programm methods of complicated interacting processes in ecology and ground hydraulic engineering objects operating. The mathematical model of water transfer in a freezing ground, modification of the stressedly-deformed state of a ground structure with temperature mode considering during freezing are offered. The model is described by system of two nonlinear parabolic and two hyperbolic equations, which is devided on two subsystems. To solve the first subsystem of two parabolic equations the iteration method is used. The uniqueness of a classical solution of an initual-boundary problem for this system is proved, the computing algorithms of finite element method for this problem are constructed, the a priori evaluations of convergence velocity of the offered computing schemes are obtained. The developed algorithms are realized in programs, the outcomes of accounts are represented. On the basis of information about ground stressedly-deformed state the endurance reserve coefficient characterizing ground massif stability is calculating. The information inputing system for the programm complex «The system for automation of accounts of physico-mechanical fields», realizing modern and convenient problem statement and data input methods, is created. The system consisis of geometric information input, partition of area on zones and physical parameter input. Within the framework of a programm complex the algorithm of areas with inclusions automatic partition on zones is offered. The algorithm can be used for partition of areas, described with polygonal lines. Keywords: hydraulic engineering objects, parabolic and hyperbolic equations, water and heat transfer, stressedly-deformed condition, automatic partition.