Stabilities of Parallel Flow and Horizontal Convection
arXiv:0905.3317
Abstract
In the first part, the stability of two-dimensional parallel flow is discussed. A more restrictively general stability criterion for inviscid parallel flow is obtained analytically. In the second part, we report the numerical simulations of the partial-penetrating flow in horizontal convection within a squire cavity tank at high Rayleigh numbers . The fast estab but slowly steadied flow is simulated, where a shallow and closed circulation cell is obtained numerically as partial-penetrating flow for the first time, which is consistent with the experiment.
physics/0512208, physics/0601043, physics/0601112, physics/0603177, physics/0605167, physics/0702037