Solution of the nonlinear equation for isothermal gas flows in porous medium by Trefftz method

Anita Uściłowska; Jan A. Kołodziej

Anita Uściłowska Poznań. University of Technology
Jan A. Kołodziej Poznań. University of Technology

Abstract

This paper presents numerical solution to a problem of the transient flow of gas within a two-dimensional porous medium. A method of fundamental solution for space variables and finite difference method for time variable are employed to obtain a solution of the non-linear partial differential equation describing the flow of gas. The inhomogeneous term is expressed by radial basis functions at each time steps. Picard iteration is used for treating nonlinearity.

Keywords

isothermal gas flow, porous medium, Trefftz method, fundamental solution,

References

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