Abstract: The paper is aimed at mathematical modeling of flows in porous medium. The results are compared with model experiments performed under microgravity conditions. Numerical investigations of the instability in displacement of viscous fluid by a less viscous one in a twodimensional and three-dimensional geometry were carried out. The effect of the three-dimensional phenomena on instability growth was investigated.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
V. R. Dushin, V. F. Nikitin, J. C. Legros, M. V. Silnikov, "Mathematical Modeling of Flows in Porous Media," WSEAS Transactions on Fluid Mechanics, vol. 9, pp. 116-130, 2014, DOI:
V. R. Dushin, V. F. Nikitin, J. C. Legros, M. V. Silnikov. Mathematical Modeling of Flows in Porous Media.
WSEAS Transactions on Fluid Mechanics. 2014;9:116-130.