Description: Relevance of the research of modeling the nonstationary non-isothermal regime of gas flowing along the pipeline section using mathematical modeling substantiated in the article. The current state of computer technology development allows solving aforementioned problem and implement rather complex methods for calculating the parameters of the gas flowing with the required accuracy and the required speed. Analysis of the existing methods for solving a quasilinear system of partial differential equations of hyperbolic type based on general equations of gas dynamics. Finite difference method and method of characteristics, have a number of advantages in this case. There was used method of characteristics in the article. The reducing number of independent variables by introducing characteristic surfaces is the main idea of method characteristics. Results of calculation the parameters of the gas flowing of a nonstationary non-isothermal gas flowing regime are presented and the choice of a method for solving differential equations of characteristics is justified. Obtained results can be used at the stage of designing, construction, operation and reconstruction of main pipeline networks in order to develop scientifically grounded recommendations for improving the safety and efficiency of the pipeline system. In order to use the results, obtained using the proposed method of mathematical modeling, will optimize the design of advanced aircraft to reduce their radar visibility.
Keywords: pipeline section’s, non-stationary non-isothermal gas flowing mode, boundary conditions, modeling, method of characteristics, Masso's method, Masso's modification method