In this paper, we introduce the concept of direct statistical simulation 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 optimized for problems on a spherical surface. The method is illustrated for the simplest non-trivial example of hydrodynamics and magnetohydrodynamics 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.
ASTROPHYSICAL FLUID DYNAMICS VIA DIRECT STATISTICAL SIMULATION
S. Tobias,Katherine Dagon,J. Marston
Published 2010 in The Astrophysical Journal
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- Publication year
2010
- Venue
The Astrophysical Journal
- Publication date
2010-09-14
- Fields of study
Physics
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