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Theories of convection and the spectrum of turbulence in the solar photosphere

Published online by Cambridge University Press:  01 August 2006

François Rincon
François Rincon*
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge Centre for Mathematical Sciences, Wilberforce Road Cambridge CB3 0WA, United Kingdom email: [email protected]
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Abstract

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Classical theories of turbulence do not describe accurately inertial range scaling laws in turbulent convection and notably fail to model the shape of the turbulent spectrum of solar photospheric convection. To understand these discrepancies, a detailed study of scale-by-scale budgets in turbulent Rayleigh-Bénard convection is presented, with particular emphasis placed on anisotropy and inhomogeneity. A generalized Kolmogorov equation applying to convection is derived and its various terms are computed using numerical simulations of turbulent Boussinesq convection. The analysis of the isotropic part of the equation shows that the third-order velocity structure function is significantly affected by buoyancy forcing and large-scale inhomogeneities. Anisotropic contributions to this equation are also shown to be comparable to their isotropic counterpart at moderate to large scales. Implications of these results for convection in the solar photosphere, mesogranulation and supergranulation are discussed.

Keywords

ConvectionturbulencehydrodynamicsSun: photosphereSun: granulation
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S239: Convection in Astrophysics , August 2006 , pp. 58 - 63
Copyright
Copyright © International Astronomical Union 2007

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