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Geophysical & Astrophysical Fluid Dynamics Volume 104, 2010 - Issue 5-6: Natural Dynamos
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Original Articles

Comparison of the anelastic approximation with fully compressible equations for linear magnetoconvection and magnetic buoyancy

N. A. Berkoff Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds, LS2 9JT, UKCorrespondence[email protected]
,
E. Kersalé Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK
&
S. M. Tobias Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK
Pages 545-563 | Received 14 Apr 2010, Accepted 28 Jul 2010, Published online: 29 Oct 2010

Citations (18)

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Read on this site (3)

Jan Verhoeven & Gary A. Glatzmaier. (2018) Validity of sound-proof approaches in rapidly-rotating compressible convection: marginal stability versus turbulence. Geophysical & Astrophysical Fluid Dynamics 112:1, pages 36-61.
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Michael A. Calkins, Keith Julien & Philippe Marti. (2015) Onset of rotating and non-rotating convection in compressible and anelastic ideal gases. Geophysical & Astrophysical Fluid Dynamics 109:4, pages 422-449.
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Krzysztof A. Mizerski & Steven M. Tobias. (2011) The effect of stratification and compressibility on anelastic convection in a rotating plane layer. Geophysical & Astrophysical Fluid Dynamics 105:6, pages 566-585.
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Articles from other publishers (15)

J. B. Moss, T. S. Wood & P. J. Bushby. (2022) Validity of sound-proof approximations for magnetic buoyancy. Physical Review Fluids 7:10.
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Fryderyk Wilczyński, David W. Hughes & Evy Kersalé. (2022) Magnetic buoyancy instability and the anelastic approximation: regime of validity and relationship with compressible and Boussinesq descriptions. Journal of Fluid Mechanics 942.
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Shuang Liu, Zhen-Hua Wan, Rui Yan, Chao Sun & De-Jun Sun. (2019) Onset of fully compressible convection in a rapidly rotating spherical shell. Journal of Fluid Mechanics 873, pages 1090-1115.
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Mouloud Kessar, David W. Hughes, Evy Kersalé, Krzysztof A. Mizerski & Steven M. Tobias. (2019) Scale Selection in the Stratified Convection of the Solar Photosphere. The Astrophysical Journal 874:1, pages 103.
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Marek J. Gradzki & Krzysztof A. Mizerski. (2018) The Effect of Weak Resistivity and Weak Thermal Diffusion on Short-wavelength Magnetic Buoyancy Instability. The Astrophysical Journal Supplement Series 235:1, pages 13.
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Krzysztof A. Mizerski. (2017) Rigorous entropy formulation of the anelastic liquid equations in an ideal gas. Journal of Fluid Mechanics 833, pages 677-686.
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T. S. Wood & P. J. Bushby. (2016) Oscillatory convection and limitations of the Boussinesq approximation. Journal of Fluid Mechanics 803, pages 502-515.
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Laura K. Currie & Steven M. Tobias. (2016) Mean flow generation in rotating anelastic two-dimensional convection. Physics of Fluids 28:1.
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Jan Verhoeven, Thomas Wiesehöfer & Stephan Stellmach. (2015) ANELASTIC VERSUS FULLY COMPRESSIBLE TURBULENT RAYLEIGH–BÉNARD CONVECTION. The Astrophysical Journal 805:1, pages 62.
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R. Raynaud, L. Petitdemange & E. Dormy. (2015) Dipolar dynamos in stratified systems. Monthly Notices of the Royal Astronomical Society 448:3, pages 2055-2065.
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Michael A. Calkins, Keith Julien & Philippe Marti. (2015) The breakdown of the anelastic approximation in rotating compressible convection: implications for astrophysical systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471:2175, pages 20140689.
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R. Raynaud, L. Petitdemange & E. Dormy. (2014) Influence of the mass distribution on the magnetic field topology. Astronomy & Astrophysics 567, pages A107.
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Benjamin P. Brown, Geoffrey M. Vasil & Ellen G. Zweibel. (2012) ENERGY CONSERVATION AND GRAVITY WAVES IN SOUND-PROOF TREATMENTS OF STELLAR INTERIORS. PART I. ANELASTIC APPROXIMATIONS. The Astrophysical Journal 756:2, pages 109.
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Nicholas J. Nelson, Benjamin P. Brown, Allan Sacha Brun, Mark S. Miesch & Juri Toomre. (2011) BUOYANT MAGNETIC LOOPS IN A GLOBAL DYNAMO SIMULATION OF A YOUNG SUN. The Astrophysical Journal 739:2, pages L38.
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P. Chatterjee, D. Mitra, M. Rheinhardt & A. Brandenburg. (2011) Alpha effect due to buoyancy instability of a magnetic layer. Astronomy & Astrophysics 534, pages A46.
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