The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
HIGH-RESOLUTION CALCULATION OF THE SOLAR GLOBAL CONVECTION WITH THE REDUCED SPEED OF SOUND TECHNIQUE. II. NEAR SURFACE SHEAR LAYER WITH THE ROTATION
Open accessAbstract
We present a high-resolution, highly stratified numerical simulation of rotating thermal convection in a spherical shell. Our aim is to study in detail the processes that can maintain a near surface shear layer (NSSL) as inferred from helioseismology. Using the reduced speed of sound technique, we can extend our global convection simulation to 0.99 R ☉ and include, near the top of our domain, small-scale convection with short timescales that is only weakly influenced by rotation. We find the formation of an NSSL preferentially in high latitudes in the depth range of r = 0.95–0.975 R ☉ . The maintenance mechanisms are summarized as follows. Convection under the weak influence of rotation leads to Reynolds stresses that transport angular momentum radially inward in all latitudes. This leads to the formation of a strong poleward-directed meridional flow and an NSSL, which is balanced in the meridional plane by forces resulting from the correlation of turbulent velocities. The origin of the required correlations depends to some degree on latitude. In high latitudes, a positive correlation is induced in the NSSL by the poleward meridional flow whose amplitude increases with the radius, while a negative correlation is generated by the Coriolis force in bulk of the convection zone. In low latitudes, a positive correlation results from rotationally aligned convection cells ("banana cells"). The force caused by these Reynolds stresses is in balance with the Coriolis force in the NSSL.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“In density-stratified convection, shallower and lighter fluid must overturn faster to respond to the momentum of fluid parcels coming from deeper thicker layers. This leads to a gradual increase in the mean velocity with increasing radius”
From Deep rotating convection generates the polar hexagon on Saturn (2020) · cites this paper as [40]
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Foundations of Radiation Hydrodynamics
Mihalas, D., & Mihalas, B. W. (1985) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,290
The Current State of Solar Modeling
Christensen-Dalsgaard, J., Däppen, W., Ajukov, S. V., et al. (1996) · Science · doi:10.1126/science.272.5266.1286 · Cited by 1,187
Foundations of Radiation Hydrodynamics
Mihalas, D., Mihalas, B. W., Fu, A., et al. (1986) · Physics Today · doi:10.1063/1.2815048 · Cited by 769
The Internal Rotation of the Sun
Thompson, M. J., Christensen-Dalsgaard, J., Miesch, M. S., et al. (2003) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.41.011802.094848 · Cited by 481
Differential Rotation and Stellar Convection
Rüdiger, G. (1989) · De Gruyter eBooks · doi:10.1515/9783112532126 · Cited by 337
NUMERICAL SIMULATIONS OF QUIET SUN MAGNETISM: ON THE CONTRIBUTION FROM A SMALL-SCALE DYNAMO
Rempel, M. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/789/2/132 · Cited by 326
Self-citationMiesch, M. S., Elliott, J. R., Toomre, J., Clune, T., Glatzmaier, G. A., & Gilman, P. A. (2000) · The Astrophysical Journal · doi:10.1086/308555 · Cited by 309
Rotation of the sun measured from Mount Wilson white-light images
Howard, R. A., Gilman, P. I., & Gilman, P. A. (1984) · The Astrophysical Journal · doi:10.1086/162315 · Cited by 301
Zhao, J., Bogart, R. S., Kosovichev, A. G., et al. (2013) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/774/2/l29 · Cited by 296
Turbulent Convection under the Influence of Rotation: Sustaining a Strong Differential Rotation
Brun, A. S., & Toomre, J. (2002) · The Astrophysical Journal · doi:10.1086/339228 · Cited by 280
Solar Differential Rotation Influenced by Latitudinal Entropy Variations in the Tachocline
Miesch, M. S., Brun, A. S., & Toomre, J. (2006) · The Astrophysical Journal · doi:10.1086/499621 · Cited by 257
Structure and Evolution of Giant Cells in Global Models of Solar Convection
Miesch, M. S., Brun, A. S., DeRosa, M. L., et al. (2008) · The Astrophysical Journal · doi:10.1086/523838 · Cited by 226
Rempel, M. (2005) · The Astrophysical Journal · doi:10.1086/428282 · Cited by 222
Self-citationFrom solar-like to antisolar differential rotation in cool stars
Gastine, T., Yadav, R. K., Morin, J., Reiners, A., & Wicht, J. (2013) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slt162 · Cited by 204
Turbulent Convection Under the Influence of Rotation: Sustaining a Strong Differential Rotation
Brun, A. S., & Toomre, J. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 200
MODELING THE DYNAMICAL COUPLING OF SOLAR CONVECTION WITH THE RADIATIVE INTERIOR
Brun, A. S., Miesch, M. S., & Toomre, J. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/742/2/79 · Cited by 174
Zhao, J., Bogart, R., Kosovichev, A. G., et al. (2013) · Cited by 166
Solar MHD Theory and Observations: A High Spatial Resolution Perspective
Leibacher, J. W., Stein, R. F., & Uitenbroek, H. (2006) · Cited by 135
DIFFERENTIAL ROTATION IN SOLAR-LIKE STARS FROM GLOBAL SIMULATIONS
Guerrero, G., Smolarkiewicz, P. K., Kosovichev, A. G., et al. (2013) · The Astrophysical Journal · doi:10.1088/0004-637x/779/2/176 · Cited by 130
GYROSCOPIC PUMPING IN THE SOLAR NEAR-SURFACE SHEAR LAYER
Miesch, M. S., & Hindman, B. W. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/743/1/79 · Cited by 101
Differential rotation of main-sequence dwarfs and its dynamo efficiency
Kitchatinov, L. L., & Olemskoy, S. V. (2010) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2010.17737.x · Cited by 100
Reynolds stress and heat flux in spherical shell convection
Käpylä, P. J., Mantere, M. J., Guerrero, G., et al. (2011) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201015884 · Cited by 93
Confirmation of bistable stellar differential rotation profiles
Käpylä, P. J., Korpi, M. J., & Brandenburg, A. (2014) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201423412 · Cited by 91
Angular velocity gradients in the solar convection zone
Gilman, P. A., & Foukal, P. (1979) · The Astrophysical Journal · doi:10.1086/157052 · Cited by 88
Hotta, H., Rempel, M., & Yokoyama, T. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/786/1/24 · Cited by 77
Self-citationConfirmation of bistable stellar differential rotation profiles
Käpylä, P. J., Korpi, M. J., & Brandenburg, A. (2014) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201423412/pdf · Cited by 74
Differential rotation of the present and the pre-main-sequence Sun
Küker, M., & Stix, M. (2001) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20010009 · Cited by 68
Gilman, P. A. (1979) · The Astrophysical Journal · doi:10.1086/157191 · Cited by 67
On the rotation of gas and magnetic fields at the solar photosphere
Foukal, P., & Jokipii, J. R. (1975) · The Astrophysical Journal · doi:10.1086/181851 · Cited by 62
Kupka, F., Roxburgh, I. W., & Chan, K. (2006) · HAL (Le Centre pour la Communication Scientifique Directe) · Cited by 60
Numerical calculation of convection with reduced speed of sound technique
Hotta, H., Rempel, M., Yokoyama, T., et al. (2012) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201118268 · Cited by 60
Self-citationLatitudinal Variation of the Solar Photospheric Intensity
Rast, M. P., Ortiz, A., & Meisner, R. W. (2008) · The Astrophysical Journal · doi:10.1086/524655 · Cited by 55
The radial gradient of the near-surface shear layer of the Sun
Barekat, A., Schou, J., & Gizon, L. (2014) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201424839 · Cited by 55
MODELING OF DIFFERENTIAL ROTATION IN RAPIDLY ROTATING SOLAR-TYPE STARS
Hotta, H., & Yokoyama, T. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/740/1/12 · Cited by 52
Self-citationSPOKE-LIKE DIFFERENTIAL ROTATION IN A CONVECTIVE DYNAMO WITH A CORONAL ENVELOPE
Warnecke, J., Käpylä, P. J., Mantere, M. J., et al. (2013) · The Astrophysical Journal · doi:10.1088/0004-637x/778/2/141 · Cited by 52
Solar Multiscale Convection and Rotation Gradients Studied in Shallow Spherical Shells
DeRosa, M. L., Gilman, P. A., & Toomre, J. (2002) · The Astrophysical Journal · doi:10.1086/344295 · Cited by 42
A simple model for solar isorotational contours
Balbus, S. A. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.14469.x · Cited by 37
Latitudinal Variation of the Solar Photospheric IntensityPreprint
Rast, M., Ortiz, A., & Meisner, R. (2008) · Cited by 32
Numerical Calculation of Convection with Reduced Speed of Sound Technique
Hotta, H., Rempel, M., Yokoyama, T., et al. (2012) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201118268/pdf · Cited by 30
Self-citationThe radial gradient of the near-surface shear layer of the Sun
Barekat, A., Schou, J., & Gizon, L. (2014) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201424839/pdf · Cited by 27
Differential rotation and stellar convection. Sun and the solar stars
Ruêdiger, G. (1989) · Cited by 22
A 2009 A simple model for solar isorotational contoursPreprint
Balbus, S. A. (2013) · Cited by 20
ESTIMATION OF TURBULENT DIFFUSIVITY WITH DIRECT NUMERICAL SIMULATION OF STELLAR CONVECTION
Hotta, H., Iida, Y., & Yokoyama, T. (2012) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/751/1/l9 · Cited by 8
Self-citationFan, Y., Featherstone, N. A., & Fang, F. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1305.6370 · Cited by 4
Research works printed but not linked: 7
- Brandenburg, 1990, SoPh, 128, 243
- Howe, 2009, LRSP, 6, 1
- Howe, 2011, JPhCS, 271, 012061
- Kichatinov, 1993, A&A, 276, 96
- Kitchatinov, 1995, A&A, 299, 446
- Matt, 2011, AN, 332, 897
- Miesch, 2005, LRSP, 2, 1
Cited by
Sorted by citations
Deep rotating convection generates the polar hexagon on Saturn
Yadav, R. K., & Bloxham, J. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2000317117 · Cited by 45
Metadata
- Authors
- Hotta, H., Rempel, M., & Yokoyama, T.
- Affiliations
- NSF National Center for Atmospheric Research (US)
- The University of Tokyo (JP)
- Corresponding author
- Hotta, H.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2014-12-19
- Volume
- 798
- Issue
- 1
- Pages
- 51
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2024535794
- Cited by
- 98
- References
- 44
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 2 · 2023: 8 · 2022: 12 · 2021: 9 · 2020: 11 · 2019: 10 · 2018: 5 · 2017: 9 · 2016: 10 · 2015: 10 · 2014: 1
- FWCI
- 5.39
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astrophysical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science (23340042)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Solar and Space Plasma Dynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Keywords
- spherical shell, Reynolds stress, angular momentum transport, meridional flow, Coriolis force, helioseismology, solar convection zone
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review