Weakly compressible flows II: particular scaling regimes and thermodynamic consistency

Add 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
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.