Directional diffusion of surface gravity wave action by ocean macroturbulence
We use a multiple-scale expansion to average the wave action balance equation over an ensemble of sea-surface velocity fields characteristic of the ocean mesoscale and submesoscale. Assuming that the statistical properties of the flow are stationary and homogeneous, we derive an expression for a dif...
Gespeichert in:
| Veröffentlicht in: | Journal of fluid mechanics 2020-05, Vol.890, Article R3 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | Journal of fluid mechanics |
| container_volume | 890 |
| creator | Villas Bôas, Ana B. Young, William R. |
| description | We use a multiple-scale expansion to average the wave action balance equation over an ensemble of sea-surface velocity fields characteristic of the ocean mesoscale and submesoscale. Assuming that the statistical properties of the flow are stationary and homogeneous, we derive an expression for a diffusivity tensor of surface-wave action density. The small parameter in this expansion is the ratio of surface current speed to gravity wave group speed. For isotropic currents, the action diffusivity is expressed in terms of the kinetic energy spectrum of the flow. A Helmholtz decomposition of the sea-surface currents into solenoidal (vortical) and potential (divergent) components shows that, to leading order, the potential component of the surface velocity field has no effect on the diffusivity of wave action: only the vortical component of the sea-surface velocity results in diffusion of surface-wave action. We validate our analytic results for the action diffusivity by Monte Carlo ray-tracing simulations through an ensemble of stochastic velocity fields. |
| doi_str_mv | 10.1017/jfm.2020.116 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2369756820</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2369756820</sourcerecordid><originalsourceid>FETCH-LOGICAL-c371t-b68cb396f78e807716308dc463ef4558869ca6b97e7742ec5fc0f877bb93bfce3</originalsourceid><addsrcrecordid>eNotkE1LAzEQhoMoWKs3f0DAq1snyW4-jlI_oeJFzyFJJ7Kl263JbqX_3tR6mhl4GN73IeSawYwBU3er2M048HIxeUImrJamUrJuTskEgPOKMQ7n5CLnFQATYNSEvD20CcPQ9hu3pss2xjGXnfaR5jFFF5B-Jbdrhz39cTuk7g-lfk_7gG5DOxdSP4zJj2vcBLwkZ9GtM179zyn5fHr8mL9Ui_fn1_n9ogpCsaHyUgcvjIxKowalmBSgl6GWAmPdNFpLE5z0RqFSNcfQxABRK-W9ET4GFFNyc_y7Tf33iHmwq35MpUK2XEijGqk5FOr2SJWMOSeMdpvazqW9ZWAPwmwRZg_CbBEmfgGXyV7N</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2369756820</pqid></control><display><type>article</type><title>Directional diffusion of surface gravity wave action by ocean macroturbulence</title><source>Cambridge University Press Journals Complete</source><creator>Villas Bôas, Ana B. ; Young, William R.</creator><creatorcontrib>Villas Bôas, Ana B. ; Young, William R.</creatorcontrib><description>We use a multiple-scale expansion to average the wave action balance equation over an ensemble of sea-surface velocity fields characteristic of the ocean mesoscale and submesoscale. Assuming that the statistical properties of the flow are stationary and homogeneous, we derive an expression for a diffusivity tensor of surface-wave action density. The small parameter in this expansion is the ratio of surface current speed to gravity wave group speed. For isotropic currents, the action diffusivity is expressed in terms of the kinetic energy spectrum of the flow. A Helmholtz decomposition of the sea-surface currents into solenoidal (vortical) and potential (divergent) components shows that, to leading order, the potential component of the surface velocity field has no effect on the diffusivity of wave action: only the vortical component of the sea-surface velocity results in diffusion of surface-wave action. We validate our analytic results for the action diffusivity by Monte Carlo ray-tracing simulations through an ensemble of stochastic velocity fields.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2020.116</identifier><language>eng</language><publisher>Cambridge: Cambridge University Press</publisher><subject>Computer simulation ; Diffusion coefficients ; Diffusivity ; Energy spectra ; Fields ; Fourier transforms ; Gravitational waves ; Gravity waves ; Kinetic energy ; Mathematical analysis ; Random walk theory ; Sea currents ; Statistical methods ; Surface currents ; Surface gravity waves ; Surface velocity ; Tensors ; Velocity ; Velocity distribution ; Wave action</subject><ispartof>Journal of fluid mechanics, 2020-05, Vol.890, Article R3</ispartof><rights>2020 This article is published under (https://creativecommons.org/licenses/by/3.0/) (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c371t-b68cb396f78e807716308dc463ef4558869ca6b97e7742ec5fc0f877bb93bfce3</citedby><cites>FETCH-LOGICAL-c371t-b68cb396f78e807716308dc463ef4558869ca6b97e7742ec5fc0f877bb93bfce3</cites><orcidid>0000-0001-6767-6556 ; 0000-0002-1842-3197</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Villas Bôas, Ana B.</creatorcontrib><creatorcontrib>Young, William R.</creatorcontrib><title>Directional diffusion of surface gravity wave action by ocean macroturbulence</title><title>Journal of fluid mechanics</title><description>We use a multiple-scale expansion to average the wave action balance equation over an ensemble of sea-surface velocity fields characteristic of the ocean mesoscale and submesoscale. Assuming that the statistical properties of the flow are stationary and homogeneous, we derive an expression for a diffusivity tensor of surface-wave action density. The small parameter in this expansion is the ratio of surface current speed to gravity wave group speed. For isotropic currents, the action diffusivity is expressed in terms of the kinetic energy spectrum of the flow. A Helmholtz decomposition of the sea-surface currents into solenoidal (vortical) and potential (divergent) components shows that, to leading order, the potential component of the surface velocity field has no effect on the diffusivity of wave action: only the vortical component of the sea-surface velocity results in diffusion of surface-wave action. We validate our analytic results for the action diffusivity by Monte Carlo ray-tracing simulations through an ensemble of stochastic velocity fields.</description><subject>Computer simulation</subject><subject>Diffusion coefficients</subject><subject>Diffusivity</subject><subject>Energy spectra</subject><subject>Fields</subject><subject>Fourier transforms</subject><subject>Gravitational waves</subject><subject>Gravity waves</subject><subject>Kinetic energy</subject><subject>Mathematical analysis</subject><subject>Random walk theory</subject><subject>Sea currents</subject><subject>Statistical methods</subject><subject>Surface currents</subject><subject>Surface gravity waves</subject><subject>Surface velocity</subject><subject>Tensors</subject><subject>Velocity</subject><subject>Velocity distribution</subject><subject>Wave action</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNotkE1LAzEQhoMoWKs3f0DAq1snyW4-jlI_oeJFzyFJJ7Kl263JbqX_3tR6mhl4GN73IeSawYwBU3er2M048HIxeUImrJamUrJuTskEgPOKMQ7n5CLnFQATYNSEvD20CcPQ9hu3pss2xjGXnfaR5jFFF5B-Jbdrhz39cTuk7g-lfk_7gG5DOxdSP4zJj2vcBLwkZ9GtM179zyn5fHr8mL9Ui_fn1_n9ogpCsaHyUgcvjIxKowalmBSgl6GWAmPdNFpLE5z0RqFSNcfQxABRK-W9ET4GFFNyc_y7Tf33iHmwq35MpUK2XEijGqk5FOr2SJWMOSeMdpvazqW9ZWAPwmwRZg_CbBEmfgGXyV7N</recordid><startdate>20200510</startdate><enddate>20200510</enddate><creator>Villas Bôas, Ana B.</creator><creator>Young, William R.</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H8D</scope><scope>H96</scope><scope>KR7</scope><scope>L.G</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-6767-6556</orcidid><orcidid>https://orcid.org/0000-0002-1842-3197</orcidid></search><sort><creationdate>20200510</creationdate><title>Directional diffusion of surface gravity wave action by ocean macroturbulence</title><author>Villas Bôas, Ana B. ; Young, William R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c371t-b68cb396f78e807716308dc463ef4558869ca6b97e7742ec5fc0f877bb93bfce3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Computer simulation</topic><topic>Diffusion coefficients</topic><topic>Diffusivity</topic><topic>Energy spectra</topic><topic>Fields</topic><topic>Fourier transforms</topic><topic>Gravitational waves</topic><topic>Gravity waves</topic><topic>Kinetic energy</topic><topic>Mathematical analysis</topic><topic>Random walk theory</topic><topic>Sea currents</topic><topic>Statistical methods</topic><topic>Surface currents</topic><topic>Surface gravity waves</topic><topic>Surface velocity</topic><topic>Tensors</topic><topic>Velocity</topic><topic>Velocity distribution</topic><topic>Wave action</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Villas Bôas, Ana B.</creatorcontrib><creatorcontrib>Young, William R.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Villas Bôas, Ana B.</au><au>Young, William R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Directional diffusion of surface gravity wave action by ocean macroturbulence</atitle><jtitle>Journal of fluid mechanics</jtitle><date>2020-05-10</date><risdate>2020</risdate><volume>890</volume><artnum>R3</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><abstract>We use a multiple-scale expansion to average the wave action balance equation over an ensemble of sea-surface velocity fields characteristic of the ocean mesoscale and submesoscale. Assuming that the statistical properties of the flow are stationary and homogeneous, we derive an expression for a diffusivity tensor of surface-wave action density. The small parameter in this expansion is the ratio of surface current speed to gravity wave group speed. For isotropic currents, the action diffusivity is expressed in terms of the kinetic energy spectrum of the flow. A Helmholtz decomposition of the sea-surface currents into solenoidal (vortical) and potential (divergent) components shows that, to leading order, the potential component of the surface velocity field has no effect on the diffusivity of wave action: only the vortical component of the sea-surface velocity results in diffusion of surface-wave action. We validate our analytic results for the action diffusivity by Monte Carlo ray-tracing simulations through an ensemble of stochastic velocity fields.</abstract><cop>Cambridge</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2020.116</doi><orcidid>https://orcid.org/0000-0001-6767-6556</orcidid><orcidid>https://orcid.org/0000-0002-1842-3197</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-1120 |
| ispartof | Journal of fluid mechanics, 2020-05, Vol.890, Article R3 |
| issn | 0022-1120 1469-7645 |
| language | eng |
| recordid | cdi_proquest_journals_2369756820 |
| source | Cambridge University Press Journals Complete |
| subjects | Computer simulation Diffusion coefficients Diffusivity Energy spectra Fields Fourier transforms Gravitational waves Gravity waves Kinetic energy Mathematical analysis Random walk theory Sea currents Statistical methods Surface currents Surface gravity waves Surface velocity Tensors Velocity Velocity distribution Wave action |
| title | Directional diffusion of surface gravity wave action by ocean macroturbulence |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-21T18%3A55%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Directional%20diffusion%20of%20surface%20gravity%20wave%20action%20by%20ocean%20macroturbulence&rft.jtitle=Journal%20of%20fluid%20mechanics&rft.au=Villas%20B%C3%B4as,%20Ana%20B.&rft.date=2020-05-10&rft.volume=890&rft.artnum=R3&rft.issn=0022-1120&rft.eissn=1469-7645&rft_id=info:doi/10.1017/jfm.2020.116&rft_dat=%3Cproquest_cross%3E2369756820%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2369756820&rft_id=info:pmid/&rfr_iscdi=true |