Exner function

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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:

$\Pi = \left( \frac{p}{p_0} \right)^{R_d/c_p} = \frac{T}{\theta}$

where $p 0$ is the pressure at the surface, usually taken as 1000 hPa; $R d$ is the gas constant for dry air; and $c p$ is the heat capacity of dry air at constant pressure.

[edit] 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.