Numerical Modeling of Tidal Effects in Polytropic Accretion Disks

Details Numerical Modeling of Tidal Effects in Polytropic Accretion Disks Numerical Modeling of Tidal Effects in Polytropic Accretion Disks

May 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997apj...480..329g&link_type=abstract

Astrophysical Journal v.480, p.329

Astronomy and Astrophysics

Astronomy

24

Accretion, Accretion Disks, Hydrodynamics, Instabilities, Methods: Numerical, Stars: Binaries: General, Stars: Oscillations, Waves

Scientific paper

A two-dimensional time-dependent hybrid Fourier-Chebyshev method of collocation is developed and used for the study of tidal effects in accretion disks, under the assumptions of a polytropic equation of state and a standard alpha viscosity prescription. Under the influence of the m = 1 azimuthal component of the tidal potential, viscous oscillations in the outer disk excite an m = 1 eccentric instability in the disk. While the m = 2 azimuthal component of the tidal potential excites a Papaloizou-Pringle instability in the inner disk (a saturated m = 2 azimuthal mode), with an elliptic pattern rotating at about a fraction (~ \frac {1}{3} ) of the local Keplerian velocity in the inner disk. The period of the elliptic mode corresponds well to the periods of the short-period oscillations observed in cataclysmic variables. In cold disks (r Omega /cs = M ~ 40) we also find a critical value of the viscosity parameter ( alpha ~ 0.01), below which shock dissipation dominates and is balanced by the wave amplification due to the wave action conservation. In this case the double spiral shock propagates all the way to the inner boundary with a Mach number Ms ~ 1.3.

Affiliated with

Also associated with

No associations

Rating

Numerical Modeling of Tidal Effects in Polytropic Accretion Disks 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 Modeling of Tidal Effects in Polytropic Accretion Disks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Modeling of Tidal Effects in Polytropic Accretion Disks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-835871