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A high Reynolds number algorithm for polytropic accretion disk studies
Received 2 September 1997 / Accepted 12 May 1998
An algorithm is proposed to study two-dimensional vortices in thin, polytropic accretion disks. It is based on a method which has been used to study vortices in planetary atmospheres. It is special in that it conserves both energy and potential enstrophy in the absence of dissipation. This leads to desirable stability properties which permit calculations at relatively high Reynolds numbers. The algorithm is tested and compared to existing methods, in particular with a Total Variation Diminishing method.
Key words: accretion, accretion disks hydrodynamics turbulence methods: numerical
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Online publication: July 20, 1998