Contributed talk: Validity of sound-proof approximations for magnetic buoyancy

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• Paul Bushby (Newcastle University)
• Friday 02 December 2022, 14:45-15:15
• Seminar Room 1, Newton Institute.

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DY2W03 - Modeling, observing and understanding flows and magnetic fields in the Earth's core and in the Sun

The presence of acoustic waves in models of compressible flows can present complications for analytical and numerical analysis. Therefore, several methods have been developed to filter out these waves, leading to various “sound-proof” models, including the Boussinesq, anelastic and pseudo-incompressible models. We assess the validity of each of these approximate models for describing magnetic buoyancy in the context of the solar interior. A general sound-proof model is introduced and compared to the fully compressible system in a number of asymptotic regimes, including both non-rotating and rotating cases. We obtain specific constraints that must be satisfied in order that the model captures the leading-order behaviour of the fully compressible system. We then discuss which of the existing sound-proof models satisfy these constraints, and in what parameter regimes.  Joint work with John Moss and Toby Wood.

This talk is part of the Isaac Newton Institute Seminar Series series.

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