Abstract
The solutions of the nonlinear and linearized Navier-Stokes equations are computed to investigate the instabilities and the secondary two- and three-dimensional regimes in the flow of an incompressible viscous fluid in a thin gap between two concentric differentially rotating spheres. The numerical technique is finitedifference in radial direction, spectral in azimuthal direction, and pseudo-spectral in meridional direction. In agreement with the previous experimental results, two different three-dimensional traveling wave flows with spiral vortices are detected.KeywordsBasic FlowAzimuthal DirectionReflection SymmetryTaylor VortexSupercritical RegionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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