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{{Short description|Parameter in atmospheric modeling}}
The '''Exner function''' is an important parameter in [[atmospheric model]]ing. 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 a standard reference surface pressure, usually taken as 1000 [[hPa]]; <math>R_d</math> is the [[specific gas constant]] for dry air; <math>c_p</math> is the [[Table of specific heat capacities|specific heat capacity of dry air]] at constant pressure; <math>T</math> is the [[absolute temperature]]; and <math>\theta</math> is the [[potential temperature]]. It is named after [[Felix Maria von Exner-Ewarten]].

== 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:Numerical climate and weather models]]

{{climate-stub}}

Exner function - Revision history

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