On the Conditions at the Interface Between Homogeneous and Porous Environments for the Stokes–Darcy Problem.

Autor: Mardanov, R. F., Sharafutdinov, V. F., Zaripov, S. K.
Zdroj: Lobachevskii Journal of Mathematics; Dec2022, Vol. 43 Issue 12, p3573-3582, 10p
Abstrakt: Two widely used boundary conditions at the interface between the free fluid and porous medium, prescribing either continuity of the normal stress or continuity of the pressure, are examined. It is shown, that the pressure continuity condition satisfies the principle of invariance with respect to the choice of coordinate system and has a clear physical meaning. For the problem of a 2D viscous flow of fluid around a porous body in a periodic Kuwabara cell, an analytic solution is obtained for both conditions within the framework of the macroscopic Stokes–Darcy model. The results obtained using the analytic solution are compared against the numerical results from the microscopic Stokes model. It is shown, that the condition of the continuity of pressure is more consistent with the microscopic Stokes model compared to the condition of continuity of the normal stress. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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