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Finite-Difference Method For Calculating A Gas Pipeline Laid Over Rough Terrain, Madaminjon K. Mahkamov, Orifjon Sh. Bozorov, Ismatulla K. Khujaev

Scientific Bulletin. Physical and Mathematical Research

A numerical method is proposed for solving the problem of pipeline transportation of natural gas through a non-horizontal gas pipeline, when the law of change in the hydrostatic pressure in time is specified at the inlet of the section, and the law of change in the mass flow of gas is set at the output.

The nonlinear, quasi-one-dimensional equations of pipeline gas transport in the isothermal approach are transformed using the natural logarithm of dimensionless gas density and the introduction of forward and backward traveling waves. In the newly constructed system of equations, convective and resistance forces are nonlinear, and …