{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,25]],"date-time":"2025-10-25T21:50:55Z","timestamp":1761429055167},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2014,6,12]],"date-time":"2014-06-12T00:00:00Z","timestamp":1402531200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ocean Dynamics"],"published-print":{"date-parts":[[2014,7]]},"DOI":"10.1007\/s10236-014-0723-8","type":"journal-article","created":{"date-parts":[[2014,6,11]],"date-time":"2014-06-11T02:08:55Z","timestamp":1402452535000},"page":"1039-1045","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Note on Coriolis-Stokes force and energy"],"prefix":"10.1007","volume":"64","author":[{"given":"G\u00f6ran","family":"Brostr\u00f6m","sequence":"first","affiliation":[]},{"given":"Kai H.","family":"Christensen","sequence":"additional","affiliation":[]},{"given":"Magnus","family":"Drivdal","sequence":"additional","affiliation":[]},{"given":"Jan Erik H.","family":"Weber","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,6,12]]},"reference":[{"issue":"5","key":"723_CR1","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1175\/JPO-D-11-095.1","volume":"42","author":"H Aiki","year":"2012","unstructured":"Aiki H, Greatbatch RJ (2012) Thickness-weighted mean theory for the effect of surface gravity waves on mean flows in the upper ocean. J Phys Oceanogr 42(5):725\u2013747. doi: 10.1175\/Jpo-D-11-095.1","journal-title":"J Phys Oceanogr"},{"issue":"1","key":"723_CR2","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1175\/JPO-D-12-059.1","volume":"43","author":"H Aiki","year":"2013","unstructured":"Aiki H, Greatbatch RJ (2013) The vertical structure of the surface wave radiation stress for circulation over a sloping bottom as given by thickness-weighted-mean theory. J Phys Oceanogr 43(1):149\u2013164. doi: 10.1175\/Jpo-D-12-059.1","journal-title":"J Phys Oceanogr"},{"key":"723_CR3","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/j.ocemod.2007.07.001","volume":"20","author":"F Ardhuin","year":"2008","unstructured":"Ardhuin F, Rascale N, Belibassakis KA (2008) Explicit wave-averaged primitive equations using a Generalized Lagrangian Mean. Ocean Model 20:235\u2013264","journal-title":"Ocean Model"},{"key":"723_CR4","doi-asserted-by":"crossref","first-page":"2008","DOI":"10.1175\/JPO-D-11-055.1","volume":"41","author":"A-C Bennis","year":"2012","unstructured":"Bennis A-C, Ardhuin F (2012) Comments on \u201cThe depth-dependent current and wave interaction equations: a revision\u201d. J Phys Oceanogr 41:2008\u20132012","journal-title":"J Phys Oceanogr"},{"key":"723_CR5","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1016\/j.ocemod.2011.09.003","volume":"40","author":"A-C Bennis","year":"2011","unstructured":"Bennis A-C, Ardhuin F, Dumas F (2011) On the coupling of wave and three-dimensional circulation models: choice of theoretical framework, practical implementation and adiabatic tests. Ocean Model 40:260\u2013272","journal-title":"Ocean Model"},{"issue":"5","key":"723_CR6","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1175\/2007JPO3702.1","volume":"38","author":"G Brostr\u00f6m","year":"2008","unstructured":"Brostr\u00f6m G, Christensen KH, Weber JE (2008) A quasi-Eulerian quasi-Lagrangian view of surface wave induced flow in the ocean. J Phys Oceanogr 38(5):112\u20131130","journal-title":"J Phys Oceanogr"},{"issue":"656","key":"723_CR7","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1002\/qj.828","volume":"137","author":"DP Dee","year":"2011","unstructured":"Dee DP, Uppala SM, Simmons AJ, Berrisford P, Poli P, Kobayashi S, Andrae U, Balmaseda MA, Balsamo G, Bauer P, Bechtold P, Beljaars ACM, van de Berg L, Bidlot J, Bormann N, Delsol C, Dragani R, Fuentes M, Geer AJ, Haimberger L, Healy SB, Hersbach H, Holm EV, Isaksen L, Kallberg P, Kohler M, Matricardi M, McNally AP, Monge-Sanz BM, Morcrette JJ, Park BK, Peubey C, de Rosnay P, Tavolato C, Thepaut JN, Vitart F (2011) The ERA-Interim reanalysis: configuration and performance of the data assimilation system. Q J Roy Meteor Soc 137(656):553\u2013597. doi: 10.1002\/Qj.828","journal-title":"Q J Roy Meteor Soc"},{"key":"723_CR8","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1080\/03091927009365783","volume":"1","author":"K Hasselmann","year":"1970","unstructured":"Hasselmann K (1970) Wave-driven inertial oscillations. Geophys Fluid Dyn 1:463\u2013502","journal-title":"Geophys Fluid Dyn"},{"key":"723_CR9","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1175\/JPO3043.1","volume":"37","author":"E Lane","year":"2007","unstructured":"Lane E, Restrepo JM, McWilliams JC (2007) Wave-current interaction: a comparison of radiation-stress and vortex-force representations. J Phys Oceanogr 37:1133\u20131141","journal-title":"J Phys Oceanogr"},{"key":"723_CR10","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1007\/s10872-007-0041-6","volume":"63","author":"B Liu","year":"2007","unstructured":"Liu B, Wu K, Guan C (2007) Global estimates of wind energy input to subinertial motions in the Ekman-Stokes Layer. J Oceanogr 63:457\u2013466","journal-title":"J Oceanogr"},{"key":"723_CR11","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1007\/s10872-009-0058-0","volume":"65","author":"B Liu","year":"2009","unstructured":"Liu B, Wu K, Guan C (2009) Wind energy input to the Ekman-Stokes layer: reply to comment by Jeff A. Polton. J Oceanogr 65:669\u2013673","journal-title":"J Oceanogr"},{"key":"723_CR12","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1017\/S0022112060000803","volume":"8","author":"MS Longuet-Higgins","year":"1960","unstructured":"Longuet-Higgins MS, Stewart RW (1960) Changes in the form of short gravity waves on long waves and tidal currents. J Fluid Mech 8:565\u2013583","journal-title":"J Fluid Mech"},{"key":"723_CR13","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1017\/S0022112061000342","volume":"10","author":"MS Longuet-Higgins","year":"1961","unstructured":"Longuet-Higgins MS, Stewart RW (1961) The changes in amplitude of short gravity waves on steady non-uniform currents. J Fluid Mech 10:529\u2013549","journal-title":"J Fluid Mech"},{"key":"723_CR14","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1017\/S0022112062000877","volume":"13","author":"MS Longuet-Higgins","year":"1962","unstructured":"Longuet-Higgins MS, Stewart RW (1962) Radiation stress and mass transport in gravity waves, with application to \u2018surf beats\u2019. J Fluid Mech 13:481\u2013504","journal-title":"J Fluid Mech"},{"key":"723_CR15","first-page":"529","volume":"11","author":"MS Longuet-Higgins","year":"1964","unstructured":"Longuet-Higgins MS, Stewart RW (1964) Radiation stress in water waves; a physical discussion with applications. Deep-Sea Res 11:529\u2013562","journal-title":"Deep-Sea Res"},{"issue":"4","key":"723_CR16","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1007\/s10236-013-0601-9","volume":"63","author":"G Mellor","year":"2013","unstructured":"Mellor G (2013) Waves, circulation and vertical dependence. Ocean Dyn 63(4):447\u2013457. doi: 10.1007\/s10236-013-0601-9","journal-title":"Ocean Dyn"},{"key":"723_CR17","volume":"112","author":"PA Newberger","year":"2007a","unstructured":"Newberger PA, Allen JS (2007a) Forcing a three-dimensional, hydrostatic, primitive-equation model for application in the surf zone: 1. Formulation. J Geophys Res Oceans 112, C8. doi: 10.1029\/2006jc003472","journal-title":"J Geophys Res Oceans"},{"key":"723_CR18","volume":"112","author":"PA Newberger","year":"2007b","unstructured":"Newberger PA, Allen JS (2007b) Forcing a three-dimensional, hydrostatic, primitive-equation model for application in the surf zone: 2. Application to DUCK94. J Geophys Res Oceans 112, C8. doi: 10.1029\/2006jc003474","journal-title":"J Geophys Res Oceans"},{"key":"723_CR19","volume-title":"The dynamics of the upper ocean","author":"OM Phillips","year":"1977","unstructured":"Phillips OM (1977) The dynamics of the upper ocean. Cambridge University Press, Cambridge"},{"key":"723_CR20","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1007\/s10872-009-0057-1","volume":"65","author":"JF Polton","year":"2009","unstructured":"Polton JF (2009) A wave averaged energy equation: comment on \u201cGlobal estimates of wind energy input to subinertial motions in the Ekman-Stokes Layer\u201d by Bin Liu, Keijian Wu and Changlong Guan. J Oceanogr 65:665\u2013668","journal-title":"J Oceanogr"},{"issue":"4","key":"723_CR21","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1175\/JPO2701.1","volume":"34","author":"JA Polton","year":"2005","unstructured":"Polton JA, Lewis DM, Belcher SE (2005) The role of wave-induced Coriolis-Stokes forcing on the wind-driven mixed layer. J Phys Oceanogr 34(4):444\u2013457","journal-title":"J Phys Oceanogr"},{"issue":"10\u201312","key":"723_CR22","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1007\/s10236-012-0576-y","volume":"62","author":"J R\u00f6hrs","year":"2012","unstructured":"R\u00f6hrs J, Christensen K, Hole LR, Brostr\u00f6m G, Drivdal M, Sundby S (2012) Observation based evaluation of surface wave effects on trajectory forecasts. Ocean Dyn 62(10\u201312):1519\u20131533","journal-title":"Ocean Dyn"},{"issue":"2","key":"723_CR23","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1357\/002224003322005087","volume":"61","author":"L Umlauf","year":"2003","unstructured":"Umlauf L, Burchard H (2003) A generic length-scale equation for geophysical turbulence models. J Mar Res 61(2):235\u2013265. doi: 10.1357\/002224003322005087","journal-title":"J Mar Res"},{"issue":"7\u20138","key":"723_CR24","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1016\/j.csr.2004.08.004","volume":"25","author":"L Umlauf","year":"2005","unstructured":"Umlauf L, Burchard H (2005) Second-order turbulence closure models for geophysical boundary layers. A review of recent work. Cont Shelf Res 25(7\u20138):795\u2013827. doi: 10.1016\/j.csr.2004.08.004","journal-title":"Cont Shelf Res"},{"key":"723_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.1365-246X.1950.tb02968.x","volume":"6","author":"F Ursell","year":"1950","unstructured":"Ursell F (1950) On the theoretical form of ocean swell on a rotating earth. Mon Not R Astron Soc, Geophys Suppl 6:1\u20138","journal-title":"Mon Not R Astron Soc, Geophys Suppl"},{"issue":"3","key":"723_CR26","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1175\/1520-0485(1983)013<0524:SWAWIC>2.0.CO;2","volume":"13","author":"JE Weber","year":"1983","unstructured":"Weber JE (1983) Steady wind- and wave-induced currents in the open ocean. J Phys Oceanogr 13(3):524\u2013530","journal-title":"J Phys Oceanogr"},{"issue":"11","key":"723_CR27","doi-asserted-by":"crossref","first-page":"2106","DOI":"10.1175\/JPO2951.1","volume":"36","author":"JE Weber","year":"2006","unstructured":"Weber JE, Brostr\u00f6m G, S\u00e6tra \u00d8 (2006) Eulerian vs Lagrangian approaches to the wave-induced transport in the upper ocean. J Phys Oceanogr 36(11):2106\u20132118","journal-title":"J Phys Oceanogr"},{"key":"723_CR28","volume":"113","author":"K Wu","year":"2008","unstructured":"Wu K, Liu B (2008) Stokes drift-induced and direct wind energy inputs into the Ekman layer within the Antarctic circumpolar current. J Geophys Res 113, C10002. doi: 10.1029\/2007JC004579","journal-title":"J Geophys Res"},{"key":"723_CR29","doi-asserted-by":"crossref","unstructured":"Wu K, Yang Z, Liu B, Guan C (2008) Wave energy input into the Ekman layer. Sci China Ser D Earth Sci 51(1):134\u2013141","DOI":"10.1007\/s11430-007-0147-0"},{"issue":"C8","key":"723_CR30","doi-asserted-by":"crossref","first-page":"16,841","DOI":"10.1029\/2000JC000292","volume":"106","author":"L Xie","year":"2001","unstructured":"Xie L, Wu K, Pietrafesa L, Zhang C (2001) A numerical study of wave-current interaction through surface and bottom stresses: wind-driven circulation in the South Atlantic Bight under uniform winds. J Geophys Res C Oceans 106(C8):16,841\u201316,855","journal-title":"J Geophys Res C Oceans"}],"container-title":["Ocean Dynamics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10236-014-0723-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10236-014-0723-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10236-014-0723-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T18:52:32Z","timestamp":1553626352000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10236-014-0723-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,12]]},"references-count":30,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2014,7]]}},"alternative-id":["723"],"URL":"https:\/\/doi.org\/10.1007\/s10236-014-0723-8","relation":{},"ISSN":["1616-7341","1616-7228"],"issn-type":[{"value":"1616-7341","type":"print"},{"value":"1616-7228","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,6,12]]}}}