A high Reynolds number algorithm for polytropic accretion disk studies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Accretion, Accretion Disks, Hydrodynamics, Turbulence, Methods: Numerical

Scientific paper

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.

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