Effects of currents on super- and sub-harmonic waves in a two-fluid system
Effects of currents on wave motions in a two‐fluid system are theoretically studied in this paper. Since super‐ and sub‐harmonic waves are naturally generated by the interaction of arbitrary linear waves, it is of theoretical and practical interest to investigate the influence of pure currents not o...
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Veröffentlicht in: | Geophysical research letters 2007-03, Vol.34 (6), p.n/a |
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description | Effects of currents on wave motions in a two‐fluid system are theoretically studied in this paper. Since super‐ and sub‐harmonic waves are naturally generated by the interaction of arbitrary linear waves, it is of theoretical and practical interest to investigate the influence of pure currents not only on linear waves, but also on second‐order waves. Solutions are derived using the perturbation technique. Solutions of internal Stokes waves recovered from present solutions are firstly discussed. Analyses of the super‐ and sub‐harmonic interactions are carried out for the deep‐ and shallow‐water configurations, respectively. Conditions resulting in the elimination of second‐order waves are determined. Present solutions include and unify most existing theories for the two‐ and single‐fluid systems, and are of great importance to the analysis of random internal waves. |
doi_str_mv | 10.1029/2007GL029267 |
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Since super‐ and sub‐harmonic waves are naturally generated by the interaction of arbitrary linear waves, it is of theoretical and practical interest to investigate the influence of pure currents not only on linear waves, but also on second‐order waves. Solutions are derived using the perturbation technique. Solutions of internal Stokes waves recovered from present solutions are firstly discussed. Analyses of the super‐ and sub‐harmonic interactions are carried out for the deep‐ and shallow‐water configurations, respectively. Conditions resulting in the elimination of second‐order waves are determined. Present solutions include and unify most existing theories for the two‐ and single‐fluid systems, and are of great importance to the analysis of random internal waves.</description><identifier>ISSN: 0094-8276</identifier><identifier>EISSN: 1944-8007</identifier><identifier>DOI: 10.1029/2007GL029267</identifier><identifier>CODEN: GPRLAJ</identifier><language>eng</language><publisher>Washington, DC: Blackwell Publishing Ltd</publisher><subject>currents ; Earth sciences ; Earth, ocean, space ; Exact sciences and technology ; harmonic waves ; two-fluid system</subject><ispartof>Geophysical research letters, 2007-03, Vol.34 (6), p.n/a</ispartof><rights>Copyright 2007 by the American Geophysical Union.</rights><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c3349-f4f1c5cf3f982ba969da4821b6c4ebfcf726c9d5f0b0e0db1459b108568e93bf3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1029%2F2007GL029267$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1029%2F2007GL029267$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,1427,11493,27901,27902,45550,45551,46384,46443,46808,46867</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18724226$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Liu, Chi-Min</creatorcontrib><creatorcontrib>Hwung, Hwung-Hweng</creatorcontrib><title>Effects of currents on super- and sub-harmonic waves in a two-fluid system</title><title>Geophysical research letters</title><addtitle>Geophys. Res. Lett</addtitle><description>Effects of currents on wave motions in a two‐fluid system are theoretically studied in this paper. Since super‐ and sub‐harmonic waves are naturally generated by the interaction of arbitrary linear waves, it is of theoretical and practical interest to investigate the influence of pure currents not only on linear waves, but also on second‐order waves. Solutions are derived using the perturbation technique. Solutions of internal Stokes waves recovered from present solutions are firstly discussed. Analyses of the super‐ and sub‐harmonic interactions are carried out for the deep‐ and shallow‐water configurations, respectively. Conditions resulting in the elimination of second‐order waves are determined. Present solutions include and unify most existing theories for the two‐ and single‐fluid systems, and are of great importance to the analysis of random internal waves.</description><subject>currents</subject><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>harmonic waves</subject><subject>two-fluid system</subject><issn>0094-8276</issn><issn>1944-8007</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAURC0EEqWw4wOygRWGazsvL6Eq4ZGChEBdWo5ji0CaFDuh9O9xlQpYsfKRdWauNAgdEzgnQPkFBUiy3BONkx00IjwMcer_dtEIgHumSbyPDpx7AwAGjIzQ3dQYrToXtCZQvbW62XATuH6pLQ5kU3os8Ku0i7apVLCSn9oFVRPIoFu12NR95Y216_TiEO0ZWTt9tH3H6OV6-jy5wfljdju5zLFiLOTYhIaoSBlmeEoLyWNeyjClpIhVqAujTEJjxcvIQAEayoKEES8IpFGcas4Kw8bodOhd2vaj164Ti8opXdey0W3vBAWeRoRRL54NorKtc1YbsbTVQtq1ICA2g4m_g3n9ZNsrnZK1sbJRlfvNpAkNKY29RwdvVdV6_W-nyJ5ySjlwH8JDqPJTff2EpH0X_nQSiflDJmbR1T2f8VTM2Te39Yfj</recordid><startdate>200703</startdate><enddate>200703</enddate><creator>Liu, Chi-Min</creator><creator>Hwung, Hwung-Hweng</creator><general>Blackwell Publishing Ltd</general><general>American Geophysical Union</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope></search><sort><creationdate>200703</creationdate><title>Effects of currents on super- and sub-harmonic waves in a two-fluid system</title><author>Liu, Chi-Min ; Hwung, Hwung-Hweng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3349-f4f1c5cf3f982ba969da4821b6c4ebfcf726c9d5f0b0e0db1459b108568e93bf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>currents</topic><topic>Earth sciences</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>harmonic waves</topic><topic>two-fluid system</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Chi-Min</creatorcontrib><creatorcontrib>Hwung, Hwung-Hweng</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Geophysical research letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Chi-Min</au><au>Hwung, Hwung-Hweng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effects of currents on super- and sub-harmonic waves in a two-fluid system</atitle><jtitle>Geophysical research letters</jtitle><addtitle>Geophys. Res. Lett</addtitle><date>2007-03</date><risdate>2007</risdate><volume>34</volume><issue>6</issue><epage>n/a</epage><issn>0094-8276</issn><eissn>1944-8007</eissn><coden>GPRLAJ</coden><abstract>Effects of currents on wave motions in a two‐fluid system are theoretically studied in this paper. Since super‐ and sub‐harmonic waves are naturally generated by the interaction of arbitrary linear waves, it is of theoretical and practical interest to investigate the influence of pure currents not only on linear waves, but also on second‐order waves. Solutions are derived using the perturbation technique. Solutions of internal Stokes waves recovered from present solutions are firstly discussed. Analyses of the super‐ and sub‐harmonic interactions are carried out for the deep‐ and shallow‐water configurations, respectively. Conditions resulting in the elimination of second‐order waves are determined. Present solutions include and unify most existing theories for the two‐ and single‐fluid systems, and are of great importance to the analysis of random internal waves.</abstract><cop>Washington, DC</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1029/2007GL029267</doi><tpages>5</tpages></addata></record> |
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subjects | currents Earth sciences Earth, ocean, space Exact sciences and technology harmonic waves two-fluid system |
title | Effects of currents on super- and sub-harmonic waves in a two-fluid system |
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