Nemtsev, A. D.; Tsibulin, V. G. 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. Cited in 1 Document MSC: 76E06 Convection in hydrodynamic stability 76S05 Flows in porous media; filtration; seepage Keywords:convective flow in a porous medium; three-dimensional flows; family of steady-state regimes; cosymmetry PDFBibTeX XMLCite \textit{A. D. Nemtsev} and \textit{V. G. Tsibulin}, Fluid Dyn. 42, No. 4, 637--643 (2007; Zbl 1354.76057); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 42, No. 4, 144--150 (2007) Full Text: DOI