Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves
The lost momentum in spatially damped internal Kelvin waves reappears as Eulerian mean currents through the action of the nonlinear wave-wave interaction terms. A novel expression is derived for the steady balance between the frictional force on the coastally trapped horizontal Eulerian mean flow, a...
Published in: | Journal of Geophysical Research: Oceans |
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ftoslouniv:oai:www.duo.uio.no:10852/62023 2023-05-15T15:06:16+02:00 Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves Weber, Jan Erik H. 2017-02-16T16:41:54Z http://hdl.handle.net/10852/62023 http://urn.nb.no/URN:NBN:no-64616 https://doi.org/10.1002/2016JC012377 EN eng American Geophysical Union (AGU) NFR/233901 http://urn.nb.no/URN:NBN:no-64616 Weber, Jan Erik H. . Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves. Journal of Geophysical Research - Oceans. 2017, 122(2), 1222-1231 http://hdl.handle.net/10852/62023 1451387 info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Geophysical Research - Oceans&rft.volume=122&rft.spage=1222&rft.date=2017 Journal of Geophysical Research - Oceans 122 2 1222 1231 http://dx.doi.org/10.1002/2016JC012377 URN:NBN:no-64616 Fulltext https://www.duo.uio.no/bitstream/handle/10852/62023/1/Weber-2017-Journal_of_Geophysical_Research__Oceans%2B%25281%2529.pdf 2169-9275 Journal article Tidsskriftartikkel Peer reviewed PublishedVersion 2017 ftoslouniv https://doi.org/10.1002/2016JC012377 2020-06-21T08:51:36Z The lost momentum in spatially damped internal Kelvin waves reappears as Eulerian mean currents through the action of the nonlinear wave-wave interaction terms. A novel expression is derived for the steady balance between the frictional force on the coastally trapped horizontal Eulerian mean flow, and the forcing from the wave field in terms of the mean wave Reynolds stresses and the horizontal divergence of the Stokes drift. The forcing can be expressed in terms of orthogonal eigenfunctions for internal waves, yielding the vertical variation of the Eulerian mean flow. For arbitrary values of the Brunt-Väisälä frequency , it is shown that the wave forcing on the Eulerian mean is always negative, yielding a Poiseuille type flow. Therefore, unlike the Stokes drift velocity in internal Kelvin waves which exhibits a backward drift for the first mode in the region of maximum , the wave-induced horizontal Eulerian mean current is always in the direction of the waves. The results are illustrated by an example from Van Mijenfjorden in Svalbard, which is an arctic sill fjord where internal waves are generated by the action of the barotropic semi-diurnal tide. This research was originally published in Journal of Geophysical Research: Oceans. © 2017 American Geophysical Union Article in Journal/Newspaper Arctic Svalbard Van Mijenfjorden Universitet i Oslo: Digitale utgivelser ved UiO (DUO) Arctic Svalbard Van Mijenfjorden ENVELOPE(14.667,14.667,77.717,77.717) Journal of Geophysical Research: Oceans 122 2 1222 1231 |
institution |
Open Polar |
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Universitet i Oslo: Digitale utgivelser ved UiO (DUO) |
op_collection_id |
ftoslouniv |
language |
English |
description |
The lost momentum in spatially damped internal Kelvin waves reappears as Eulerian mean currents through the action of the nonlinear wave-wave interaction terms. A novel expression is derived for the steady balance between the frictional force on the coastally trapped horizontal Eulerian mean flow, and the forcing from the wave field in terms of the mean wave Reynolds stresses and the horizontal divergence of the Stokes drift. The forcing can be expressed in terms of orthogonal eigenfunctions for internal waves, yielding the vertical variation of the Eulerian mean flow. For arbitrary values of the Brunt-Väisälä frequency , it is shown that the wave forcing on the Eulerian mean is always negative, yielding a Poiseuille type flow. Therefore, unlike the Stokes drift velocity in internal Kelvin waves which exhibits a backward drift for the first mode in the region of maximum , the wave-induced horizontal Eulerian mean current is always in the direction of the waves. The results are illustrated by an example from Van Mijenfjorden in Svalbard, which is an arctic sill fjord where internal waves are generated by the action of the barotropic semi-diurnal tide. This research was originally published in Journal of Geophysical Research: Oceans. © 2017 American Geophysical Union |
format |
Article in Journal/Newspaper |
author |
Weber, Jan Erik H. |
spellingShingle |
Weber, Jan Erik H. Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves |
author_facet |
Weber, Jan Erik H. |
author_sort |
Weber, Jan Erik H. |
title |
Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves |
title_short |
Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves |
title_full |
Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves |
title_fullStr |
Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves |
title_full_unstemmed |
Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves |
title_sort |
vertically varying eulerian mean currents induced by internal coastal kelvin waves |
publisher |
American Geophysical Union (AGU) |
publishDate |
2017 |
url |
http://hdl.handle.net/10852/62023 http://urn.nb.no/URN:NBN:no-64616 https://doi.org/10.1002/2016JC012377 |
long_lat |
ENVELOPE(14.667,14.667,77.717,77.717) |
geographic |
Arctic Svalbard Van Mijenfjorden |
geographic_facet |
Arctic Svalbard Van Mijenfjorden |
genre |
Arctic Svalbard Van Mijenfjorden |
genre_facet |
Arctic Svalbard Van Mijenfjorden |
op_source |
2169-9275 |
op_relation |
NFR/233901 http://urn.nb.no/URN:NBN:no-64616 Weber, Jan Erik H. . Vertically varying Eulerian mean currents induced by internal coastal Kelvin waves. Journal of Geophysical Research - Oceans. 2017, 122(2), 1222-1231 http://hdl.handle.net/10852/62023 1451387 info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Geophysical Research - Oceans&rft.volume=122&rft.spage=1222&rft.date=2017 Journal of Geophysical Research - Oceans 122 2 1222 1231 http://dx.doi.org/10.1002/2016JC012377 URN:NBN:no-64616 Fulltext https://www.duo.uio.no/bitstream/handle/10852/62023/1/Weber-2017-Journal_of_Geophysical_Research__Oceans%2B%25281%2529.pdf |
op_doi |
https://doi.org/10.1002/2016JC012377 |
container_title |
Journal of Geophysical Research: Oceans |
container_volume |
122 |
container_issue |
2 |
container_start_page |
1222 |
op_container_end_page |
1231 |
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1766337902862663680 |