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Numerical investigation of the first transition in the three-dimensional problem of convective flow in a porous medium. (English. Russian original) Zbl 1354.76057

Fluid Dyn. 42, No. 4, 637-643 (2007); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 42, No. 4, 144-150 (2007).
Summary: The branching off of steady-state regimes from mechanical equilibrium is studied for the problem of filtration convection in a parallelepiped. The conditions for the geometric parameters under which stable continuous families of steady-state regimes develop are found. The stability of equilibria of the family with respect to three-dimensional perturbations is analyzed in a numerical experiment using a finite-difference method.

MSC:

76E06 Convection in hydrodynamic stability
76S05 Flows in porous media; filtration; seepage
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