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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Weakly compressible flows II: particular scaling regimes and thermodynamic consistency

## Weakly compressible flows II: particular scaling regimes and thermodynamic consistencyAdd to your list(s) Download to your calendar using vCal - Klein, R (Freie Universitt Berlin)
- Wednesday 03 October 2012, 13:30-14:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Multiscale Numerics for the Atmosphere and Ocean Building on the morning lecture “Weakly compressible flows I: regime of validity of sound-proof appoximaitons”, I will discuss regimes of length scales different from the orginal design regime of sound-proof models, which involves tropospheric flows at horizontal scales of 10-100 km and associated advective scales. In particular, I will show that short wave internal wave packets in the stratosphere can be described by the pseudo-incompressible approximation, but that the anelastic model looses its formal validity in this case. At very small scales the pseudo-incompressible model reduces to the zero Mach number variable density equations, whereas the anelastic model reduces to the more restrictive Boussinesq approximation. Sound-proofing appoximations affect the thermodynamic relationships. I will introduce a definition for the notion of “thermodynamic consistency” of sound-proof approximations, show how complying anelastic and pseudo-incompressible models can be formulated, and discuss their regimes of validity. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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