Calculating Potential Vorticity of a Parcel of Air

AI Thread Summary
Calculating potential vorticity (PV) for air parcels involves using various meteorological parameters such as temperature, pressure, and wind speed. Potential vorticity is a crucial concept in meteorology, particularly for distinguishing between tropospheric and stratospheric air masses. The formula for PV incorporates gravity, absolute vorticity, and static stability. Understanding PV can enhance the analysis of fluid dynamics in stratified atmospheres. This approach is supported by research, including work by McIntyre (2012), which emphasizes the significance of PV in atmospheric studies.
Johnball96
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Hello,

I am trying to calculate the potential vorticity (PV) in units (PVU) of thousands of different parcels of air on varying spatial and temporal scales. Variables available are as follows;

parameter Unit Format Precision Default value :

1 date yyyymmdd I8.8 0 99999999
2 time hhmmss I6.6 0 999999
3 latitude deg F6.2 0.01 -99.99
4 longitude deg F7.2 0.01 -999.99
5 baro altitude m F8.1 0.3 -99999.9
6 radio altitude m F7.1 0.1 -9999.9
7 pressure Pa I7 10 -999999
8 A340. stat. temp. deg C F6.2 0.25 -99.99
9 A340.air.speed m/s F7.2 0.01 -999.99
10 A340.ground.speed m/s F7.2 0.01 -999.99
11 wind direction deg F7.2 0.01 -999.99
12 wind speed m/s F7.2 0.01 -999.99
13 ozone mixing ratio ppbv I5 1 -9999
14 static temp. deg C F5.1 0.1 -99.9
15 Relative humidity % F6.1 0.1 -999.9
16 RH validity 0,1,2,3 I2 0 9
17 RH uncertainty % I3 1 -99
18 H2O mixing ratio g/kg F7.3 0.01 -99.999
19 CO mixing ratio ppbv F6.0 1 -9999.
20 NOy mixing ratio ppbv F6.2 0.01 -99.99
21 NO mixing ratio ppbv F6.2 0.01 -99.99
22 NOx mixing ratio ppbv F6.2 0.01 -99.99
23 NOy uncertainty ppbv F6.2 0.01 -99.99
24 NOy validity 0-63 I2 0 -9

Is it possible to calculate the potential vorticity of an individual air particle?

Thank you in advance

John
 
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What, please, is a potential vorticity?

The two terms are used specifically in mutually exclusive circumstances.
 
I am trying to uses potential vorticity (PV) as a meteorological tool to isolate Tropospheric airmass from those of stratospheric origin. Many papers discuss calculation of PV as a good technique for this.

McIntyre (2012) describe PV as "the constancy on a fluid particle... central to stratified, rotating fluid dynamics". I think the idea is that there is the potential for creating vorticity at different latitudes where adiabatic variance in isentropically frictionless separated layers

there is a potential for creating vorticity by changing latitude and by adiabatically
changing the separation of isentropic layers.

PV = g(-∂θ/∂p)ζ

where g is gravity, ζ is the component of absolute vorticity normal to an isentropic surface, and -∂θ/∂p is the static stability.

Does this answer your question?
 
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