One of the important problems arising from the operation of a multi-line sites is the ability of the numerical simulation of emergency situations. A numerical method for the calculation of non-stationary non-isothermal gas flow regimes on the section of the pipeline. This method differs from the existing method for selecting a template derivative approximation to the spatial and temporal variable, and method of solution systems of nonlinear equations obtained after applying the method of finite differences to the original system of equations of mathematical models. The method allows to calculate more accurately the actual processes of flow of natural gas in the staff and in emergency situations.
linear section, section of the pipeline, modeling, transient non-isothermal mode, the finite difference method,non-uniform finite-difference grid