Statistics – Computation
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.228....1n&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 228, Sept. 1, 1987, p. 1-41.
Statistics
Computation
139
Compressible Flow, Computational Astrophysics, Computational Fluid Dynamics, Rotating Fluids, Shear Layers, Two Dimensional Flow, Coriolis Effect, Density Distribution, Disk Galaxies, Protostars, Stellar Rotation
Scientific paper
A model compressible two-dimensional fluid system with constant density, constant shear, and Coriolis force is investigated to study the linear nonvortical modes of the shearing sheet. The analysis leads to an eigenvalue problem based on the Parabolic Cylinder differential equation. Each mode has an associated corotation radius, and a particular conserved action is identified that is positive for fluid on one side of corotation and negative on the other side. In the shearing sheet, no instability is possible unless there is positive feedback introduced into the amplifier at the boundaries. When tunneling is small, most of the modes are neutral, while when tunneling is large, both neutral and unstable modes are common. Slight perturbation of the equilibrium shearing sheet by the introduction of density and/or velocity perturbations results in a corotation resonance.
Goldreich Peter
Goodman Jeremy
Narayan Ramesh
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