In uence of numerical diffusion on the growth rate of viscous ngers in the numerical implementation of the Peaceman model by the finite volume method
- Authors: Apushkinskaya D.E.1, Lazareva G.G.1, Okishev V.A.1
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 68, No 4 (2022)
- Pages: 553-563
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/33490
- DOI: https://doi.org/10.22363/2413-3639-2022-68-4-553-563
Cite item
Full Text
Abstract
A numerical model of oil displacement by a mixture of water and polymer based on the Peaceman model is considered. Numerical experiments were carried out using the DuMux package, which is a software library designed for modeling nonstationary hydrodynamic problems in porous media. The software package uses the vertex-centered variant of finite volume method. The effect of diffusion on the growth rate of ''viscous fingers'' has been studied. The dependencies of the leading front velocity on the value of model diffusion are obtained for three viscosity models. It is shown that the effect of numerical diffusion on the growth rate of ''viscous fingers'' imposes limitations on calculations for small values of model diffusion.
About the authors
D. E. Apushkinskaya
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: apuskinskaya-de@rudn.ru
G. G. Lazareva
Peoples’ Friendship University of Russia (RUDN University)
Email: lazareva-gg@rudn.ru
V. A. Okishev
Peoples’ Friendship University of Russia (RUDN University)
Email: okishev-va@rudn.ru
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