Abstract
A primitive variable unsteady viscous incompressible Navier-Stokes flow simulation in a higher aspect ratio ( A = depth/width = 2) driven cavity at a higher Reynold's number (Re = 10,000) exhibits dynamical features not apparent in previous studies of stationary solutions or at lower Reynold's number or in the more usual unit cavity investigations. The initial dynamics, e.g., between t = 0 sec and t = 70 sec, reveals transient bifurcations between states including two, three, and four interacting vortices in an anterior separation region. Following this, there is an intermediate interval, e.g., between t = 70 sec and t = 140 sec, characterized by a vertical oscillation of the primary vortex related to the general activities of the secondary features of the flow. The long time behavior, e.g., between t = 140 seconds and t = 360 seconds, is one of qualitative smoothing of all secondary features except a persistent oscillation indicating a Hopf bifurcation.
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