An Exact, Three‐dimensional, Time‐dependent Wave Solution in Local Keplerian Flow

2006/08/21 by Steven A. Balbus, John F. Hawley · 6 citations
Physics and Astronomy · #Astrophysics and Star Formation Studies #Computational astrophysics #Flow (mathematics) #Galaxies: Formation, Evolution, Phenomena #Magnetohydrodynamics #Shock wave #Stellar, planetary, and galactic studies #Wave propagation #astro-ph

paper · pdf · doi:10.1086/508320

published as Astrophys.J.652:1020-1027,2006 · 22 pages, 4 figures. To appear Apj Dec 1 2006

arxiv created 2006/08/21 · openalex publication_date 2006/11/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Linear Theory of Thin, Radially Stratified Disks

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