Numerical simulation of the process of nonequilibrium counterflow capillary imbibition


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Abstract

The convergence of the Galerkin method of solving the Cauchy–Dirichlet problem for the Barenbratt–Gilman equation is studied. On the basis of theoretical results, a numerical algorithm for this problem is developed. Results of a numerical experiment are presented.

About the authors

E. A. Bogatyreva

South Ural State University

Author for correspondence.
Email: bogatyrevaea@susu.ac.ru
Russian Federation, pr. Lenina 76, Chelyabinsk, 454080

N. A. Manakova

South Ural State University

Email: bogatyrevaea@susu.ac.ru
Russian Federation, pr. Lenina 76, Chelyabinsk, 454080

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