Nabatova S. Mathematical modelling and numerical analysis of transportation and distribution processes of continuous material

The thesis is dedicated to a topical problem of elaboration and implementation of mathematical simulators and methods of calculation of dynamic balance of heterogeneous continuous material flows in engineering systems. A simulator and dynamic balance method applied to natural gas in local subsystem of gas-transporting system is taken as the example. The following problems have been formulated and solved: problem of mass estimation of natural gas that passed through system's entry/exit on the interval of control; problem of evaluating mass of natural gas, accumulated in local subsystem of gas-transporting system in points of time; problem of identification of gas-transporting system status; problem of ensuring unfailing functioning of gas-main pipeline's compressing station on the interval of control; problem of composing interval estimate of value unbalance of natural gas for stable conditions of system functioning. The results of this thesis are confirmed by experimental research and results of its introduction.