Third-harmonic wave diffraction by a vertical cylinder
The diffraction of regular waves by a vertical circular cylinder in finite depth water is considered, within the frame of potential theory. The wave slope kA is assumed to be small so that successive boundary value problems at orders kA, k2A2, and k3A3 can be formulated. Here we focus on the third-o...
Gespeichert in:
| Veröffentlicht in: | Journal of fluid mechanics 1995-11, Vol.302, p.203-229 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 229 |
|---|---|
| container_issue | |
| container_start_page | 203 |
| container_title | Journal of fluid mechanics |
| container_volume | 302 |
| creator | Malenica, š. Molin, B. |
| description | The diffraction of regular waves by a vertical circular cylinder in finite depth water is considered, within the frame of potential theory. The wave slope kA is assumed to be small so that successive boundary value problems at orders kA, k2A2, and k3A3 can be formulated. Here we focus on the third-order (k3 A3) problem but restrict ourselves to the triple-frequency component of the diffraction potential. The method of resolution is based on eigenfunction expansions and on the integral equation technique with the classical Green function expressed in cylindrical coordinates. Third-order (triple-frequency) loads are calculated and compared with experimental measurements and approximate methods based on long-wave theories. |
| doi_str_mv | 10.1017/S0022112095004071 |
| format | Article |
| fullrecord | <record><control><sourceid>cambridge_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1017_S0022112095004071</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_S0022112095004071</cupid><sourcerecordid>10_1017_S0022112095004071</sourcerecordid><originalsourceid>FETCH-LOGICAL-c383t-296637fd61e8bf8249483e7b9d8df68548b4383de90f916aae66b546d7e4f8153</originalsourceid><addsrcrecordid>eNp9j0tLAzEUhYMoWKs_wN0s3EaTSSaPpRRtheKDVgQ3IZOHTW1nSjJW--9NaelGcHUX55zL9wFwidE1RpjfTBAqS4xLJCuEKOL4CPQwZRJyRqtj0NvGcJufgrOU5ghhgiTvATadhWjhTMdl2wRTfOu1K2zwPmrThbYp6k2hi7WLXTB6UZjNIjTWxXNw4vUiuYv97YPX-7vpYATHT8OHwe0YGiJIB0vJGOHeMuxE7UVJJRXE8VpaYT0TFRU1zUXrJPISM60dY3VFmeWOeoEr0gd499fENqXovFrFsNRxozBSW3H1RzxvrnablU6ZOZs0JqTDsJQoc7Bcg7taSJ37OcQ6firGCa8UG74o8fj8NuCTd0Vzn-xR9LKOwX44NW-_YpP1_4H5BZtSdM8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Third-harmonic wave diffraction by a vertical cylinder</title><source>Cambridge Journals</source><creator>Malenica, š. ; Molin, B.</creator><creatorcontrib>Malenica, š. ; Molin, B.</creatorcontrib><description>The diffraction of regular waves by a vertical circular cylinder in finite depth water is considered, within the frame of potential theory. The wave slope kA is assumed to be small so that successive boundary value problems at orders kA, k2A2, and k3A3 can be formulated. Here we focus on the third-order (k3 A3) problem but restrict ourselves to the triple-frequency component of the diffraction potential. The method of resolution is based on eigenfunction expansions and on the integral equation technique with the classical Green function expressed in cylindrical coordinates. Third-order (triple-frequency) loads are calculated and compared with experimental measurements and approximate methods based on long-wave theories.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/S0022112095004071</identifier><identifier>CODEN: JFLSA7</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Applied fluid mechanics ; Applied sciences ; Exact sciences and technology ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Ground, air and sea transportation, marine construction ; Hydrodynamics, hydraulics, hydrostatics ; Marine construction ; Physics</subject><ispartof>Journal of fluid mechanics, 1995-11, Vol.302, p.203-229</ispartof><rights>1995 Cambridge University Press</rights><rights>1996 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-296637fd61e8bf8249483e7b9d8df68548b4383de90f916aae66b546d7e4f8153</citedby><cites>FETCH-LOGICAL-c383t-296637fd61e8bf8249483e7b9d8df68548b4383de90f916aae66b546d7e4f8153</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112095004071/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=2902496$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Malenica, š.</creatorcontrib><creatorcontrib>Molin, B.</creatorcontrib><title>Third-harmonic wave diffraction by a vertical cylinder</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>The diffraction of regular waves by a vertical circular cylinder in finite depth water is considered, within the frame of potential theory. The wave slope kA is assumed to be small so that successive boundary value problems at orders kA, k2A2, and k3A3 can be formulated. Here we focus on the third-order (k3 A3) problem but restrict ourselves to the triple-frequency component of the diffraction potential. The method of resolution is based on eigenfunction expansions and on the integral equation technique with the classical Green function expressed in cylindrical coordinates. Third-order (triple-frequency) loads are calculated and compared with experimental measurements and approximate methods based on long-wave theories.</description><subject>Applied fluid mechanics</subject><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Ground, air and sea transportation, marine construction</subject><subject>Hydrodynamics, hydraulics, hydrostatics</subject><subject>Marine construction</subject><subject>Physics</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNp9j0tLAzEUhYMoWKs_wN0s3EaTSSaPpRRtheKDVgQ3IZOHTW1nSjJW--9NaelGcHUX55zL9wFwidE1RpjfTBAqS4xLJCuEKOL4CPQwZRJyRqtj0NvGcJufgrOU5ghhgiTvATadhWjhTMdl2wRTfOu1K2zwPmrThbYp6k2hi7WLXTB6UZjNIjTWxXNw4vUiuYv97YPX-7vpYATHT8OHwe0YGiJIB0vJGOHeMuxE7UVJJRXE8VpaYT0TFRU1zUXrJPISM60dY3VFmeWOeoEr0gd499fENqXovFrFsNRxozBSW3H1RzxvrnablU6ZOZs0JqTDsJQoc7Bcg7taSJ37OcQ6firGCa8UG74o8fj8NuCTd0Vzn-xR9LKOwX44NW-_YpP1_4H5BZtSdM8</recordid><startdate>19951110</startdate><enddate>19951110</enddate><creator>Malenica, š.</creator><creator>Molin, B.</creator><general>Cambridge University Press</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19951110</creationdate><title>Third-harmonic wave diffraction by a vertical cylinder</title><author>Malenica, š. ; Molin, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-296637fd61e8bf8249483e7b9d8df68548b4383de90f916aae66b546d7e4f8153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Applied fluid mechanics</topic><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Ground, air and sea transportation, marine construction</topic><topic>Hydrodynamics, hydraulics, hydrostatics</topic><topic>Marine construction</topic><topic>Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Malenica, š.</creatorcontrib><creatorcontrib>Molin, B.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Journal of fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Malenica, š.</au><au>Molin, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Third-harmonic wave diffraction by a vertical cylinder</atitle><jtitle>Journal of fluid mechanics</jtitle><addtitle>J. Fluid Mech</addtitle><date>1995-11-10</date><risdate>1995</risdate><volume>302</volume><spage>203</spage><epage>229</epage><pages>203-229</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>The diffraction of regular waves by a vertical circular cylinder in finite depth water is considered, within the frame of potential theory. The wave slope kA is assumed to be small so that successive boundary value problems at orders kA, k2A2, and k3A3 can be formulated. Here we focus on the third-order (k3 A3) problem but restrict ourselves to the triple-frequency component of the diffraction potential. The method of resolution is based on eigenfunction expansions and on the integral equation technique with the classical Green function expressed in cylindrical coordinates. Third-order (triple-frequency) loads are calculated and compared with experimental measurements and approximate methods based on long-wave theories.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112095004071</doi><tpages>27</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-1120 |
| ispartof | Journal of fluid mechanics, 1995-11, Vol.302, p.203-229 |
| issn | 0022-1120 1469-7645 |
| language | eng |
| recordid | cdi_crossref_primary_10_1017_S0022112095004071 |
| source | Cambridge Journals |
| subjects | Applied fluid mechanics Applied sciences Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Ground, air and sea transportation, marine construction Hydrodynamics, hydraulics, hydrostatics Marine construction Physics |
| title | Third-harmonic wave diffraction by a vertical cylinder |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T03%3A21%3A24IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-cambridge_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Third-harmonic%20wave%20diffraction%20by%20a%20vertical%20cylinder&rft.jtitle=Journal%20of%20fluid%20mechanics&rft.au=Malenica,%20%C5%A1.&rft.date=1995-11-10&rft.volume=302&rft.spage=203&rft.epage=229&rft.pages=203-229&rft.issn=0022-1120&rft.eissn=1469-7645&rft.coden=JFLSA7&rft_id=info:doi/10.1017/S0022112095004071&rft_dat=%3Ccambridge_cross%3E10_1017_S0022112095004071%3C/cambridge_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_cupid=10_1017_S0022112095004071&rfr_iscdi=true |