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The '''Exner function''' is an important parameter in atmospheric modeling. The Exner function can be viewed as non-dimensionalized pressure and can be defined as: | |||
: <math>\Pi = \left( \frac{p}{p_0} \right)^{R_d/c_p} = \frac{T}{\theta} </math> | |||
where <math>p_0</math> is the pressure at the surface, usually taken as 1000 hPa; <math>R_d</math> is the [[gas constant]] for dry air; <math>c_p</math> is the [[Heat capacity#Table of specific heat capacities|heat capacity of dry air]] at constant pressure; <math>T</math> is the [[absolute temperature]]; and <math>\theta</math> is the [[potential temperature]]. | |||
== References == | |||
*Pielke, Roger A. ''Mesoscale Meteorological Modeling.'' Orlando: Academic Press, Inc., 1984. | |||
*U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Weather Service. ''National Weather Service Handbook No. 1 - Facsimile Products.'' Washington, DC: Department of Commerce, 1979. | |||
== See also == | |||
*[[Barometric formula]] | |||
*[[Climate model]] | |||
*[[Euler equations]] | |||
*[[Fluid dynamics]] | |||
*[[General circulation model]] | |||
*[[Numerical weather prediction]] | |||
*[[Primitive equations]] | |||
[[Category:Climatology]] | |||
{{climate-stub}} |
Revision as of 15:19, 23 August 2013
The Exner function is an important parameter in atmospheric modeling. The Exner function can be viewed as non-dimensionalized pressure and can be defined as:
where is the pressure at the surface, usually taken as 1000 hPa; is the gas constant for dry air; is the heat capacity of dry air at constant pressure; is the absolute temperature; and is the potential temperature.
References
- Pielke, Roger A. Mesoscale Meteorological Modeling. Orlando: Academic Press, Inc., 1984.
- U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Weather Service. National Weather Service Handbook No. 1 - Facsimile Products. Washington, DC: Department of Commerce, 1979.
See also
- Barometric formula
- Climate model
- Euler equations
- Fluid dynamics
- General circulation model
- Numerical weather prediction
- Primitive equations
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