Astrophysical Fluid Dynamics via Direct Statistical Simulation

Details Astrophysical Fluid Dynamics via Direct Statistical Simulation Astrophysical Fluid Dynamics via Direct Statistical Simulation

2010-09-14

arxiv.org/abs/1009.2684v2

The Astrophysical Journal 727:127 (12pp) 2011

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

26 pages, 11 figures, added clarifying remarks and references, and corrected typos. This version is accepted for publication i

Scientific paper

10.1088/0004-637X/727/2/127

In this paper we introduce the concept of Direct Statistical Simulation (DSS) for astrophysical flows. This technique may be appropriate for problems in astrophysical fluids where the instantaneous dynamics of the flows are of secondary importance to their statistical properties. We give examples of such problems including mixing and transport in planets, stars and disks. The method is described for a general set of evolution equations, before we consider the specific case of a spectral method optimised for problems on a spherical surface. The method is illustrated for the simplest non-trivial example of hydrodynamics and MHD on a rotating spherical surface. We then discuss possible extensions of the method both in terms of computational methods and the range of astrophysical problems that are of interest.

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