A comparison of a finite element method and a finite difference method for transient simulation of a gas pipeline

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Abstract

Transient flow of gas through a pipeline is given by a linear partial differential equation of diffusion type. Finite difference and finite element methods are selected for solving this equation. For the finite element method linear and cubic interpolating polynomials are used. Investigations are carried out for the single pipeline. The calculations are made using a PRIME 9950 computer. The computation times and accuracy are determined for every method. The investigations are carried out for selected values of space and time increments. Comparison between analyzed methods are carried out, taking as a criterion of comparison the accuracy of the results and computation time. © 1989.

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Osiadacz, A. J., & Yedroudj, M. (1989). A comparison of a finite element method and a finite difference method for transient simulation of a gas pipeline. Applied Mathematical Modelling, 13(2), 79–85. https://doi.org/10.1016/0307-904X(89)90018-8

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