On an invariant of a non-stationary model of pipelines gas flow

: pp. 116-128
Received: December 22, 2018
Revised: April 23, 2019
Accepted: April 25, 2019

Math. Model. Comput. Vol.6, No.1, pp.116-128 (2019)

Centre of Mathematical Modelling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
Institute of Gas Transmission PJSC Ukrtransgas
Centre of Mathematical Modelling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine
Lviv Polytechnic National University

A problem of gas balance analysis in the gas transportation system objects and the factors of influence on the accuracy of its installation are considered.  It is shown that the problem of accuracy of calculation of the individual balance indicators can be effectively solved.  For this purpose, the invariants of the mathematical model of gas flow are used.  The carried out computational experiments have confirmed the sufficient accuracy of the suggested approach.

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