Physics & Chemistry:Anelastic approximation
Published: March 29, 2010, 12:00 am
Updated: November 26, 2011, 10:14 am
This article has been reviewed by the following Topic Editor:
C Michael Hogan
An anelastic approximation is a filtering approximation for the equations of motion that eliminates sound waves by assuming that the flow has velocities and phase speeds much smaller than the speed of sound. Applications of the anelastic approximation occur most commonly in meteorology, atmospheric science and ocean studies. In its purest form, it requires that the reference state be isentropic as well as hydrostatic, although in practice the reference state is often taken to be nonisentropic which can have deleterious effects on the energy conservation properties of the full set of equations. The anelastic approximation is one of the set of approximations used for the somewhat similar Boussinesq approximation.
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Citation
Steve Baum (Lead Author);C Michael Hogan (Topic Editor) "Anelastic approximation". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth March 29, 2010; Last revised Date November 26, 2011; Retrieved May 22, 2013 <http://www.eoearth.org/article/Anelastic_approximation?topic=49557>
The Author
Assistant Research Scientist, Physical Section
Department of Oceanography
Texas A&M University ... (Full Bio)
An anelastic approximation is a filtering approximation for the equations of motion that eliminates sound waves by assuming that the flow has velocities and phase speeds much smaller than the speed of sound. Applications of the anelastic approximation occur most commonly in meteorology, atmospheric science and ocean studies. In its purest form, it requires that the reference state be isentropic as well as hydrostatic, although in practice the reference state is often taken to be nonisentropic which can have deleterious effects on the energy conservation properties of the full set of equations. The anelastic approximation is one of the set of approximations used for the somewhat similar Boussinesq approximation.
|
This article is written at a definitional level only. Authors wishing to expand this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
Further Reading
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