Чисельне моделювання нестаціонарних режимів по лінійній ділянці газогону з активними елементами

Abstract

The problem of numerical modelling of nonstationary non-isothermal gas flow regimes in gas transmission systems with active elements is considered. The mathematical model is represented as a system of partial differential equations and algebraic relations. The system accounts for mass flow rate, pressure, and temperature dynamics along the pipeline. To solve the non-linear system of finitedifference equations, an implicit scheme combined with Newton’s iterative method is applied, which ensures computational stability and convergence. The results can be used for forecasting flow dynamics, analysing emergency situations, and optimizing control parameters of compressor stations