PORE-SCALE MODELLING OF FLUID FLOW IN PENETRABLE SPHERES USING THE PROJECTION METHOD FOR INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
https://doi.org/10.55452/1998-6688-2021-18-2-6-11
Abstract
The direct numerical simulation (DNS) is an effective and useful tool in the two-phase fluid flow studying. The projection method on the staggered grid was applied in this paper to solve the incompressible Navier-Stokes equations in irregular domains at the pore-scale level (irregular boundary is presented by its level-set function). The permeability of porous medium which was constructed by the random positioning of penetrable spheres of equal radii were numerically calculated and validated by comparing with theoretical estimations of permeability based on the numerical solution of the lattice-Boltzmann equation in irregular domains in previous works. All numerical calculations were performed using PARIS simulator.
Supporting agencies: This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP08052055), which is gratefully acknowledged by the authors.
About the Authors
Zh. K. Akasheva
Satbayev University
Kazakhstan
Kazakhstan
Akasheva Zhibek Kairatovna - Deputy Head of the Research Laboratory «Computational Modeling and Information Technologies»
050000, Almaty
A. A. Kudaikulov
Satbayev University
Kazakhstan
Kazakhstan
Kudaikulov Aziz Anarbayevich - PhD, Professor
050000, Almaty
B. K. Assilbekov
Satbayev University
Kazakhstan
Kazakhstan
Assilbekov Bakytzhan Kalzhanovich – PhD, Head of the Research Laboratory «Computational Modeling and Information Technologies»
050000, Almaty
D. A. Bolysbek
Satbayev University; Al-Farabi Kazakh National University
Kazakhstan
Kazakhstan
Bolysbek Darezhat Abilseyituly - Researcher at the Research Laboratory «Computational Modeling and Information Technologies»
050000, Almaty
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Review
For citations:
Akasheva Zh.K., Kudaikulov A.A., Assilbekov B.K., Bolysbek D.A. PORE-SCALE MODELLING OF FLUID FLOW IN PENETRABLE SPHERES USING THE PROJECTION METHOD FOR INCOMPRESSIBLE NAVIER-STOKES EQUATIONS. Herald of the Kazakh-British technical university. 2021;18(2):6-11. https://doi.org/10.55452/1998-6688-2021-18-2-6-11
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