An Exact, Three-dimensional, Time-dependent Wave Solution in Local Keplerian Flow
Abstract
We present an exact three-dimensional wave solution to the shearing-sheet equations of motion. The existence of this solution argues against transient amplification as a route to turbulence in unmagnetized disks. Moreover, because the solution covers an extensive dynamical range in wavenumber space, it is an excellent test of the dissipative properties of numerical codes.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- December 2006
- DOI:
- arXiv:
- arXiv:astro-ph/0608429
- Bibcode:
- 2006ApJ...652.1020B
- Keywords:
-
- Accretion;
- Accretion Disks;
- Galaxies: Magnetic Fields;
- Instabilities;
- Magnetic Fields;
- Magnetohydrodynamics: MHD;
- Astrophysics
- E-Print:
- 22 pages, 4 figures. To appear Apj Dec 1 2006