Several lines of evidence suggest that the velocity amplitude in global simulations of solar convection, U, may be systematically over-estimated. Motivated by these recent results, we explore the factors that determine U and we consider how these might scale to solar parameter regimes. To this end, we decrease the thermal diffusivity \kappa along two paths in parameter space. If the kinematic viscosity \nu is decreased proportionally with \kappa (fixing the Prandtl number P_r = \nu/\kappa), we find that U increases but asymptotes toward a constant value, as found by Featherstone & Hindman (2016). However, if \nu is held fixed while decreasing \kappa (increasing P_r), we find that U systematically decreases. We attribute this to an enhancement of the thermal content of downflow plumes, which allows them to carry the solar luminosity with slower flow speeds. We contrast this with the case of Rayleigh-Benard convection which is not subject to this luminosity constraint. This dramatic difference in behavior for the two paths in parameter space (fixed P_r or fixed \nu) persists whether the heat transport by unresolved, near-surface convection is modeled as a thermal conduction or as a fixed flux. The results suggest that if solar convection can operate in a high-P_r regime, then this might effectively limit the velocity amplitude. Small-scale magnetism is a possible source of enhanced viscosity that may serve to achieve this high-P_r regime.
Velocity amplitudes in global convection simulations: The role of the Prandtl number and near-surface driving
Advances in space research ; 58 , 8
2016
Aufsatz (Zeitschrift)
Englisch
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