Non‐conservation and conservation for different formulations of moist potential vorticity

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Main Authors: Parvathi Kooloth, Leslie M. Smith, Samuel N. Stechmann
Format: Artículo Open Access
Published: Wiley 2024
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author Parvathi Kooloth
Leslie M. Smith
Samuel N. Stechmann
author_facet Parvathi Kooloth
Leslie M. Smith
Samuel N. Stechmann
Parvathi Kooloth
Leslie M. Smith
Samuel N. Stechmann
collection Wiley Open Access
contents Non‐conservation and conservation for different formulations of moist potential vorticity Parvathi Kooloth Leslie M. Smith Samuel N. Stechmann Atmospheric Science Letters AbstractPotential vorticity (PV) is one of the most important quantities in atmospheric science. In the absence of dissipative processes, the PV of each fluid parcel is known to be conserved, for a dry atmosphere. However, a parcel's PV is not conserved if clouds or phase changes of water occur. Recently, PV conservation laws were derived for a cloudy atmosphere, where each parcel's PV is not conserved but parcel‐integrated PV is conserved, for integrals over certain volumes that move with the flow. Hence a variety of different statements are now possible for moist PV conservation and non‐conservation, and in comparison to the case of a dry atmosphere, the situation for moist PV is more complex. Here, in light of this complexity, several different definitions of moist PV are compared for a cloudy atmosphere. Numerical simulations are shown for a rising thermal, both before and after the formation of a cloud. These simulations include the first computational illustration of the parcel‐integrated, moist PV conservation laws. The comparisons, both theoretical and numerical, serve to clarify and highlight the different statements of conservation and non‐conservation that arise for different definitions of moist PV. 10.1002/asl.1237 http://creativecommons.org/licenses/by/4.0/
doi_str_mv 10.1002/asl.1237
format Artículo Open Access
id wiley_oa_10_1002_asl_1237
institution Wiley Open Access
license_str_mv http://creativecommons.org/licenses/by/4.0/
publishDate 2024
publisher Wiley
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spellingShingle Non‐conservation and conservation for different formulations of moist potential vorticity
Parvathi Kooloth
Leslie M. Smith
Samuel N. Stechmann
Atmospheric Science Letters
Non‐conservation and conservation for different formulations of moist potential vorticity Parvathi Kooloth Leslie M. Smith Samuel N. Stechmann Atmospheric Science Letters AbstractPotential vorticity (PV) is one of the most important quantities in atmospheric science. In the absence of dissipative processes, the PV of each fluid parcel is known to be conserved, for a dry atmosphere. However, a parcel's PV is not conserved if clouds or phase changes of water occur. Recently, PV conservation laws were derived for a cloudy atmosphere, where each parcel's PV is not conserved but parcel‐integrated PV is conserved, for integrals over certain volumes that move with the flow. Hence a variety of different statements are now possible for moist PV conservation and non‐conservation, and in comparison to the case of a dry atmosphere, the situation for moist PV is more complex. Here, in light of this complexity, several different definitions of moist PV are compared for a cloudy atmosphere. Numerical simulations are shown for a rising thermal, both before and after the formation of a cloud. These simulations include the first computational illustration of the parcel‐integrated, moist PV conservation laws. The comparisons, both theoretical and numerical, serve to clarify and highlight the different statements of conservation and non‐conservation that arise for different definitions of moist PV. 10.1002/asl.1237 http://creativecommons.org/licenses/by/4.0/
title Non‐conservation and conservation for different formulations of moist potential vorticity
topic Atmospheric Science Letters
url https://rmets.onlinelibrary.wiley.com/doi/10.1002/asl.1237