Numerical studies of the dynamical stability of differentially rotating tori

Details Numerical studies of the dynamical stability of differentially rotating tori Numerical studies of the dynamical stability of differentially rotating tori

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.232....1f&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 232, May 1, 1988, p. 1-33.

Astronomy and Astrophysics

Astronomy

24

Accretion Disks, Active Galactic Nuclei, Dynamic Stability, Numerical Integration, Quasars, Toruses, Angular Momentum, Astronomical Models, Difference Equations, Entropy, Finite Difference Theory, Linear Equations, Perturbation Theory, Toroidal Plasmas

Scientific paper

The stability of toroidal equilibria, relevant to the models of central engine of AGN and QSOs, is studied based on the integration of the linearized perturbation equations from a given initial perturbed state. Random velocity perturbations are taken, advancing the perturbations in time using a dissipationless scheme until the fastest-growing mode separates out so clearly that its growth rate and eigenfunctions can be obtained. Extensive calculations are performed covering homentropic tori with uniform and power-law distributions of angular momentum, nonhomentropic cases with uniform angular momentum, and some cases with nonuniform entropy whose rotation is not constant on cylinders. The range of computed tori with uniform entropy and angular momentum is extended to thicker tori, and it is argued that there is evidence that the growth rate diminishes for long-wavelength modes as the tori become thicker. Tori with nonuniform distributions of entropy are studied and found to be dynamically unstable, with growth rates of the same order as similar tori of uniform angular momentum and entropy.

Affiliated with

Also associated with

No associations

Rating

Numerical studies of the dynamical stability of differentially rotating tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical studies of the dynamical stability of differentially rotating tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical studies of the dynamical stability of differentially rotating tori will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-855366