Non-axisymmetric unstable modes of a differentially rotating torus

Details Non-axisymmetric unstable modes of a differentially rotating torus Non-axisymmetric unstable modes of a differentially rotating torus

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.236..589k&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 236, Feb. 1, 1989, p. 589-602. Research supported by th

Statistics

Computation

17

Computational Astrophysics, Flow Stability, Magnetohydrodynamic Flow, Rotating Fluids, Toroids, Computational Fluid Dynamics, Computational Grids, Finite Element Method, Galerkin Method, Reynolds Stress, Three Dimensional Flow

Scientific paper

A numerical method based on the finite element method and the Galerkin approximation is used to obtain the nonaxisymmetric modes of tori without constant angular moment. It is found that these unstable modes are driven by the Reynolds stress in incompressible or compressible shear flows. It is shown that the instability is due to surface or sonic waves. As the degree of the shear in an axisymmetric equilibrium state decreases, the work done by the Reynolds stress becomes less effective and a larger amount of the wave energy is needed to excite the unstable mode, causing the growth rates of the unstable modes to decrease.

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