Modeling of Filtration Processes with Extended Sources and Homogenization

Authors

  • Gennadiy Sandrakov Taras Shevchenko National University of Kyiv

DOI:

https://doi.org/10.31713/MCIT.2024.082

Keywords:

initial boundary value problems, asymptotic expansion, accuracy estimates, multiscale porous media, approximation

Abstract

Methods for modeling dynamic filtration processes with extended sources will be considered. These methods are based on the homogenization of the relevant initial boundary value problems. This approach leads to the description of several filtration modes, the implementation of which depends on the orders of the filtration, transfer, and potentiality coefficients. The problems for describing these modes have constant coefficients and can be solved analytically or numerically.  The accuracy of the approximations is also established.

Downloads

Published

2025-04-25

How to Cite

Sandrakov, G. (2025). Modeling of Filtration Processes with Extended Sources and Homogenization. Modeling, Control and Information Technologies, (7), 268–269. https://doi.org/10.31713/MCIT.2024.082

Issue

No. 7 (2024): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

Copyright (c) 2024 Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.