Models of mass transfer in gas transmission systems

: pp. 84-96
Received: July 01, 2014
Centre of Mathematical Modelling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
Centre of Mathematical Modelling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine
Institute of Gas Transmission PJSC Ukrtransgas
Centre of Mathematical Modelling of the Institute for Applied Problems of Mechanics and Mathematics named after Y. Pidstryhach of Ukrainian National Academy of Sciences

The models of gas movement in pipelines and gas filtration processes in complex porous media are considered in entire and fractional derivatives. The method for linearization of equations, which are included in the mathematical model of mass transfer, is suggested as well as an iterative scheme for solving initial systems of nonlinear differential equations is constructed. The finite-element model of the problem with the use of the Petrov-Galerkin method and Grunwald-Letnikov scheme concerning derivatives of the fractional order are implemented. The research of the models is carried out as well as comparative analysis of the numerical results is done.

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Math. Model. Comput. Vol. 1, No. 1, pp. 84-96 (2014)