Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere
The vertical velocity w is evaluated for the Northern Hemisphere from reanalysis data and two forms of the Richardson equation. This equation is based on the hydrostatic assumption and the thermodynamic energy equation. The standard form of the Richardson equation allows one to quantify the contribu...
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crwiley:10.1002/qj.3452 2024-06-02T08:07:32+00:00 Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere Egger, Joseph Hoinka, Klaus‐Peter 2019 http://dx.doi.org/10.1002/qj.3452 https://onlinelibrary.wiley.com/doi/pdf/10.1002/qj.3452 https://onlinelibrary.wiley.com/doi/full-xml/10.1002/qj.3452 https://rmets.onlinelibrary.wiley.com/doi/pdf/10.1002/qj.3452 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor Quarterly Journal of the Royal Meteorological Society volume 145, issue 719, page 563-574 ISSN 0035-9009 1477-870X journal-article 2019 crwiley https://doi.org/10.1002/qj.3452 2024-05-03T10:42:19Z The vertical velocity w is evaluated for the Northern Hemisphere from reanalysis data and two forms of the Richardson equation. This equation is based on the hydrostatic assumption and the thermodynamic energy equation. The standard form of the Richardson equation allows one to quantify the contributions to the vertical velocity of the horizontal divergence δ , the vertical pressure velocity ω and heating, and to test the incompressibility assumption underlying many dynamic models and theories. However, there are cancellations between two important terms. This shortcoming is substantially reduced in a further version of this equation where one term dominates. This version is the backbone of the data evaluation. The vertical velocities resulting from the Richardson equation in the troposphere are in good agreement with those obtained directly from the reanalysis data. It is found that the assumption of incompressibility provides a good estimate for w in the mid troposphere, even above Greenland and the Tibetan Plateau, both for the annual mean and the standard deviation of w , but is less acceptable in the upper troposphere and almost useless in the lower stratosphere. The contribution of heating to w is small. Article in Journal/Newspaper Greenland Wiley Online Library Greenland Quarterly Journal of the Royal Meteorological Society 145 719 563 574 |
institution |
Open Polar |
collection |
Wiley Online Library |
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crwiley |
language |
English |
description |
The vertical velocity w is evaluated for the Northern Hemisphere from reanalysis data and two forms of the Richardson equation. This equation is based on the hydrostatic assumption and the thermodynamic energy equation. The standard form of the Richardson equation allows one to quantify the contributions to the vertical velocity of the horizontal divergence δ , the vertical pressure velocity ω and heating, and to test the incompressibility assumption underlying many dynamic models and theories. However, there are cancellations between two important terms. This shortcoming is substantially reduced in a further version of this equation where one term dominates. This version is the backbone of the data evaluation. The vertical velocities resulting from the Richardson equation in the troposphere are in good agreement with those obtained directly from the reanalysis data. It is found that the assumption of incompressibility provides a good estimate for w in the mid troposphere, even above Greenland and the Tibetan Plateau, both for the annual mean and the standard deviation of w , but is less acceptable in the upper troposphere and almost useless in the lower stratosphere. The contribution of heating to w is small. |
format |
Article in Journal/Newspaper |
author |
Egger, Joseph Hoinka, Klaus‐Peter |
spellingShingle |
Egger, Joseph Hoinka, Klaus‐Peter Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere |
author_facet |
Egger, Joseph Hoinka, Klaus‐Peter |
author_sort |
Egger, Joseph |
title |
Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere |
title_short |
Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere |
title_full |
Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere |
title_fullStr |
Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere |
title_full_unstemmed |
Hydrostatic vertical velocity and incompressibility in the Northern Hemisphere |
title_sort |
hydrostatic vertical velocity and incompressibility in the northern hemisphere |
publisher |
Wiley |
publishDate |
2019 |
url |
http://dx.doi.org/10.1002/qj.3452 https://onlinelibrary.wiley.com/doi/pdf/10.1002/qj.3452 https://onlinelibrary.wiley.com/doi/full-xml/10.1002/qj.3452 https://rmets.onlinelibrary.wiley.com/doi/pdf/10.1002/qj.3452 |
geographic |
Greenland |
geographic_facet |
Greenland |
genre |
Greenland |
genre_facet |
Greenland |
op_source |
Quarterly Journal of the Royal Meteorological Society volume 145, issue 719, page 563-574 ISSN 0035-9009 1477-870X |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/qj.3452 |
container_title |
Quarterly Journal of the Royal Meteorological Society |
container_volume |
145 |
container_issue |
719 |
container_start_page |
563 |
op_container_end_page |
574 |
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1800752618927030272 |