Statistics – Computation
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cophc..59..105t&link_type=abstract
Computer Physics Communications (ISSN 0010-4655), vol. 59, 1990, p. 105-117.
Statistics
Computation
16
Compressible Flow, Convective Heat Transfer, Magnetohydrodynamic Flow, Prandtl Number, Three Dimensional Flow, Computational Fluid Dynamics, Laminar Flow, Stellar Atmospheres, Supersonic Flow, Three Dimensional Models, Turbulent Flow
Scientific paper
Numerical simulations are used to study fully compressible thermal convection at large Rayleigh numbers. Results are presented from a sequence of three-dimensional simulations that reveal a transition from gradually-evolving laminar convection to nearly turbulent convection as the Prandtl number is reduced from a value of unity to one-tenth. The convective flows form irregular cellular patterns near the upper surface, possesing a network of fast downflow at cell peripheries and gentler upflow at cell centers. At greater depths the curving sheets of downflow collapse into plumes which may twist and possess substantial vertical vorticity. For the lowest Prandtl number, the convection near the bottom of the layer appears to be turbulent, yet the rapidly varying small-scale flow structure there is accompanied by more ordered sites of wavering upflow, with the latter able to penetrate all the way to the upper boundary. Thus a significant component of the flow is able to extend over multiple density scale heights, in contrast to what is argued in formulating mixing-length models for stellar convection. Results are also shown from two-dimensional simulations carried out with very high spatial resolution, which reveal that supersonic convection with fluttering shock systems can be realized.
Brummell Nicholas
Cattaneo Fausto
Hurlburt Neal E.
Toomre Juri
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