On group velocity and spatial damping of diurnal continental shelf waves
Diurnal continental shelf waves (CSWs) are studied theoretically for an idealized shelf topography. Wave attenuation is caused by the exchange of fluid on the sloping shelf with an inner region through a permeable coastline. As an example, we consider the region outside Lofoten-Vesterålen in north N...
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ftoslouniv:oai:www.duo.uio.no:10852/90380 2023-05-15T17:08:18+02:00 On group velocity and spatial damping of diurnal continental shelf waves Weber, Jan Erik H. Børve, Eli 2022-01-02T12:43:00Z http://hdl.handle.net/10852/90380 http://urn.nb.no/URN:NBN:no-92987 https://doi.org/10.1016/j.csr.2021.104630 EN eng NFR/280625 VIST/6168 http://urn.nb.no/URN:NBN:no-92987 Weber, Jan Erik H. Børve, Eli . On group velocity and spatial damping of diurnal continental shelf waves. Continental Shelf Research. 2022, 232 http://hdl.handle.net/10852/90380 1973343 info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Continental Shelf Research&rft.volume=232&rft.spage=&rft.date=2022 Continental Shelf Research 232 6 https://doi.org/10.1016/j.csr.2021.104630 URN:NBN:no-92987 Fulltext https://www.duo.uio.no/bitstream/handle/10852/90380/5/1-s2.0-S0278434321002855-main.pdf Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ CC-BY 0278-4343 Journal article Tidsskriftartikkel Peer reviewed PublishedVersion 2022 ftoslouniv https://doi.org/10.1016/j.csr.2021.104630 2022-02-02T23:34:34Z Diurnal continental shelf waves (CSWs) are studied theoretically for an idealized shelf topography. Wave attenuation is caused by the exchange of fluid on the sloping shelf with an inner region through a permeable coastline. As an example, we consider the region outside Lofoten-Vesterålen in north Norway. Here CSWs with diurnal tidal frequencies are possible in a small wave number range centered around zero group velocity. A previous investigation with a Robin condition (a weighted combination of Dirichlet and Neumann conditions) at the permeable boundary has shown that the spatial damping coefficient becomes infinitely large when the group velocity of the CSWs approaches zero. Here we demonstrate that this is not a result of the mathematical formulation, but reflects a physical reality. We show this by modelling the highly convoluted inner archipelagic region as a series of densely packed vertical Hele Shaw cells. By comparing the two ways of describing a permeable coastal boundary (Robin/Hele Shaw), we may express the Robin parameter in terms of the physical parameters (permeability, eddy viscosity) that characterize the flow on the inner porous shelf. The radiation stresses that drive the Lagrangian mean currents are the same in the two cases. This means that the spatial mean current distribution over the sloping shelf becomes unaltered when we compare the Robin case and the porous inner shelf case. Article in Journal/Newspaper Lofoten North Norway Vesterålen Universitet i Oslo: Digitale utgivelser ved UiO (DUO) Lofoten Norway Vesterålen ENVELOPE(14.939,14.939,68.754,68.754) Continental Shelf Research 232 104630 |
institution |
Open Polar |
collection |
Universitet i Oslo: Digitale utgivelser ved UiO (DUO) |
op_collection_id |
ftoslouniv |
language |
English |
description |
Diurnal continental shelf waves (CSWs) are studied theoretically for an idealized shelf topography. Wave attenuation is caused by the exchange of fluid on the sloping shelf with an inner region through a permeable coastline. As an example, we consider the region outside Lofoten-Vesterålen in north Norway. Here CSWs with diurnal tidal frequencies are possible in a small wave number range centered around zero group velocity. A previous investigation with a Robin condition (a weighted combination of Dirichlet and Neumann conditions) at the permeable boundary has shown that the spatial damping coefficient becomes infinitely large when the group velocity of the CSWs approaches zero. Here we demonstrate that this is not a result of the mathematical formulation, but reflects a physical reality. We show this by modelling the highly convoluted inner archipelagic region as a series of densely packed vertical Hele Shaw cells. By comparing the two ways of describing a permeable coastal boundary (Robin/Hele Shaw), we may express the Robin parameter in terms of the physical parameters (permeability, eddy viscosity) that characterize the flow on the inner porous shelf. The radiation stresses that drive the Lagrangian mean currents are the same in the two cases. This means that the spatial mean current distribution over the sloping shelf becomes unaltered when we compare the Robin case and the porous inner shelf case. |
format |
Article in Journal/Newspaper |
author |
Weber, Jan Erik H. Børve, Eli |
spellingShingle |
Weber, Jan Erik H. Børve, Eli On group velocity and spatial damping of diurnal continental shelf waves |
author_facet |
Weber, Jan Erik H. Børve, Eli |
author_sort |
Weber, Jan Erik H. |
title |
On group velocity and spatial damping of diurnal continental shelf waves |
title_short |
On group velocity and spatial damping of diurnal continental shelf waves |
title_full |
On group velocity and spatial damping of diurnal continental shelf waves |
title_fullStr |
On group velocity and spatial damping of diurnal continental shelf waves |
title_full_unstemmed |
On group velocity and spatial damping of diurnal continental shelf waves |
title_sort |
on group velocity and spatial damping of diurnal continental shelf waves |
publishDate |
2022 |
url |
http://hdl.handle.net/10852/90380 http://urn.nb.no/URN:NBN:no-92987 https://doi.org/10.1016/j.csr.2021.104630 |
long_lat |
ENVELOPE(14.939,14.939,68.754,68.754) |
geographic |
Lofoten Norway Vesterålen |
geographic_facet |
Lofoten Norway Vesterålen |
genre |
Lofoten North Norway Vesterålen |
genre_facet |
Lofoten North Norway Vesterålen |
op_source |
0278-4343 |
op_relation |
NFR/280625 VIST/6168 http://urn.nb.no/URN:NBN:no-92987 Weber, Jan Erik H. Børve, Eli . On group velocity and spatial damping of diurnal continental shelf waves. Continental Shelf Research. 2022, 232 http://hdl.handle.net/10852/90380 1973343 info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Continental Shelf Research&rft.volume=232&rft.spage=&rft.date=2022 Continental Shelf Research 232 6 https://doi.org/10.1016/j.csr.2021.104630 URN:NBN:no-92987 Fulltext https://www.duo.uio.no/bitstream/handle/10852/90380/5/1-s2.0-S0278434321002855-main.pdf |
op_rights |
Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.1016/j.csr.2021.104630 |
container_title |
Continental Shelf Research |
container_volume |
232 |
container_start_page |
104630 |
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1766064030545346560 |