Exner function

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 p 0 is a standard reference surface pressure, usually taken as 1000 hPa; R d is the gas constant for dry air; c p is the heat capacity of dry air at constant pressure; T is the absolute temperature; and θ is the potential temperature.