Abstract
We carry out high-resolution calculation of thermal convection in the spherical shell with rotation to reproduce the near surface shear layer (NSSL). It is thought that the NSSL is maintained by thermal convection for small spatial scales and short time scales, which causes a weak rotational influence. The calculation with the RSST succeeds in including such a small scale as well as large-scale convection and the NSSL is reproduced especially at high latitude. The maintenance mechanisms are the following. The Reynolds stress under the weak influence of the rotation transports the angular momentum radially inward. Regarding the dynamical balance on the meridional plane, in the high latitude positive correlation \(\langle v'_rv'_\theta \rangle \) is generated by the poleward meridional flow whose amplitude increases with the radius in the NSSL and negative correlation \(\langle v'_rv'_\theta \rangle \) is generated by the Coriolis force in the deep convection zone. The force caused by the Reynolds stress compensates the Coriolis force in the NSSL.
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References
A. Brandenburg, Near-surface shear layer dynamics, in IAU Symposium, vol. 239, ed. by F. Kupka, I. Roxburgh, K.L. Chan (2007), pp. 457–466. doi:10.1017/S1743921307000919
A.S. Brun, M.S. Miesch, J. Toomre, Modeling the dynamical coupling of solar convection with the radiative interior. ApJ 742, 79 (2011). doi:10.1088/0004637X/742/2/79
M.L. De Rosa, P.A. Gilman, J. Toomre, Solar multiscale convection and rotation gradients studied in shallow spherical shells. ApJ 581, 1356–1374 (2002). doi:10.1086/344295
Y. Fan, N. Featherstone, F. Fang, Three-dimensional MHD simulations of emerging active region flux in a turbulent rotating solar convective envelope: the numerical model and initial results (ArXiv e-prints, 2013)
P.A. Gilman, P.V. Foukal, Angular velocity gradients in the solar convection zone. ApJ 229, 1179–1185 (1979). doi:10.1086/157052
G. Guerrero, P.K. Smolarkiewicz, A. Kosovichev, N. Mansour, Solar differential rotation: hints to reproduce a near-surface shear layer in global simulations, in IAU Symposium, vol. 294, ed. by A.G. Kosovichev, E. de Gouveia Dal Pino, Y. Yan (2013), pp. 417–425. doi:10.1017/S1743921313002858
H. Hotta, T. Yokoyama, Modeling of differential rotation in rapidly rotating solar-type stars. ApJ 740, 12 (2011). doi:10.1088/0004-637X/740/1/12
H. Hotta, M. Rempel, T. Yokoyama, Y. Iida, Y. Fan, Numerical calculation of convection with reduced speed of sound technique. A&A 539, 30 (2012). doi:10.1051/0004-6361/201118268
R. Howard, P.I. Gilman, P.A. Gilman, Rotation of the sun measured from Mount Wilson white-light images. ApJ 283, 373–384 (1984). doi:10.1086/162315
M.S. Miesch, Large-scale dynamics of the convection zone and tachocline. Living Rev. Sol. Phys. 2, 1 (2005)
M.S. Miesch, B.W. Hindman, Gyroscopic pumping in the solar near-surface shear layer. ApJ 743, 79 (2011). doi:10.1088/0004-637X/743/1/79
M.S. Miesch, A.S. Brun, J. Toomre, Solar differential rotation influenced by latitudinal entropy variations in the tachocline. ApJ 641, 618–625 (2006). doi:10.1086/499621
M.S. Miesch, A.S. Brun, M.L. De Rosa, J. Toomre, Structure and evolution of giant cells in global models of solar convection. ApJ 673, 557–575 (2008). doi:10.1086/523838
M. Rempel, Solar differential rotation and meridional flow: the role of a subadiabatic tachocline for the Taylor-Proudman balance. ApJ 622, 1320–1332 (2005). doi:10.1086/428282
M.J. Thompson, J. Christensen-Dalsgaard, M.S. Miesch, J. Toomre, The internal rotation of the sun. ARA&A 41, 599–643 (2003). doi:10.1146/annurev.astro.41.011802.094848
J. Zhao, R.S. Bogart, A.G. Kosovichev, T.L. Duvall Jr., T. Hartlep, Detection of equatorward meridional flow and evidence of double-cell meridional circulation inside the Sun. ApJL 774, 29 (2013). doi:10.1088/2041-8205/774/2/L29
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Hotta, H. (2015). Reproduction of Near Surface Shear Layer with Rotation. In: Thermal Convection, Magnetic Field, and Differential Rotation in Solar-type Stars. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55399-1_4
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DOI: https://doi.org/10.1007/978-4-431-55399-1_4
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