An analytic investigation of oscillations within a harbor of constant slope
Longitudinal and transverse oscillations within a harbor of constant slope are analyzed. Based on the linear shallow water approximation, longitudinal oscillations are described with Bessel equations. Ignoring friction, oscillations are forced using the period of the incident perpendicular wave fiel...
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| Veröffentlicht in: | Ocean engineering 2011-02, Vol.38 (2), p.479-486 |
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| container_title | Ocean engineering |
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| creator | Wang, Gang Dong, Guohai Perlin, Marc Ma, Xiaozhou Ma, Yuxiang |
| description | Longitudinal and transverse oscillations within a harbor of constant slope are analyzed. Based on the linear shallow water approximation, longitudinal oscillations are described with Bessel equations. Ignoring friction, oscillations are forced using the period of the incident perpendicular wave field by the method of matched asymptotics. The analytic results show that the varying depth shifts the resonant wave numbers to lower values than those for the same geometric harbor with constant depth. Furthermore, we extend the shallow water equations to a linear, weakly dispersive, Boussinesq-type equation by modifying the offshore velocity component, and then use it to investigate possible existing transverse oscillations in the harbor of constant slope. These oscillations are types of standing edge waves. Their character is quite sensitive to the boundary condition at the backwall of the harbor. |
| doi_str_mv | 10.1016/j.oceaneng.2010.11.021 |
| format | Article |
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Based on the linear shallow water approximation, longitudinal oscillations are described with Bessel equations. Ignoring friction, oscillations are forced using the period of the incident perpendicular wave field by the method of matched asymptotics. The analytic results show that the varying depth shifts the resonant wave numbers to lower values than those for the same geometric harbor with constant depth. Furthermore, we extend the shallow water equations to a linear, weakly dispersive, Boussinesq-type equation by modifying the offshore velocity component, and then use it to investigate possible existing transverse oscillations in the harbor of constant slope. These oscillations are types of standing edge waves. Their character is quite sensitive to the boundary condition at the backwall of the harbor.</description><identifier>ISSN: 0029-8018</identifier><identifier>EISSN: 1873-5258</identifier><identifier>DOI: 10.1016/j.oceaneng.2010.11.021</identifier><identifier>CODEN: OCENBQ</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Applied sciences ; Approximation ; Asymptotic properties ; Boussinesq model ; Buildings. Public works ; Computation methods. Tables. Charts ; Dynamics of the ocean (upper and deep oceans) ; Earth, ocean, space ; Edge oscillations ; Exact sciences and technology ; External geophysics ; Friction ; Harbor resonance ; Harbors ; Hydraulic constructions ; Marine ; Mathematical analysis ; Offshore structures ; Oscillations ; Physics of the oceans ; Port facilities and coastal structures. Lighthouses and beacons ; Shallow water equations ; Standing edge waves ; Structural analysis. Stresses ; Transverse oscillation</subject><ispartof>Ocean engineering, 2011-02, Vol.38 (2), p.479-486</ispartof><rights>2010 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c473t-d003a851612dd1abf5832786629949505410bfd55058b6e68abeeec4e1e88fdd3</citedby><cites>FETCH-LOGICAL-c473t-d003a851612dd1abf5832786629949505410bfd55058b6e68abeeec4e1e88fdd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0029801810002660$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23830029$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Wang, Gang</creatorcontrib><creatorcontrib>Dong, Guohai</creatorcontrib><creatorcontrib>Perlin, Marc</creatorcontrib><creatorcontrib>Ma, Xiaozhou</creatorcontrib><creatorcontrib>Ma, Yuxiang</creatorcontrib><title>An analytic investigation of oscillations within a harbor of constant slope</title><title>Ocean engineering</title><description>Longitudinal and transverse oscillations within a harbor of constant slope are analyzed. Based on the linear shallow water approximation, longitudinal oscillations are described with Bessel equations. Ignoring friction, oscillations are forced using the period of the incident perpendicular wave field by the method of matched asymptotics. The analytic results show that the varying depth shifts the resonant wave numbers to lower values than those for the same geometric harbor with constant depth. Furthermore, we extend the shallow water equations to a linear, weakly dispersive, Boussinesq-type equation by modifying the offshore velocity component, and then use it to investigate possible existing transverse oscillations in the harbor of constant slope. These oscillations are types of standing edge waves. Their character is quite sensitive to the boundary condition at the backwall of the harbor.</description><subject>Applied sciences</subject><subject>Approximation</subject><subject>Asymptotic properties</subject><subject>Boussinesq model</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Dynamics of the ocean (upper and deep oceans)</subject><subject>Earth, ocean, space</subject><subject>Edge oscillations</subject><subject>Exact sciences and technology</subject><subject>External geophysics</subject><subject>Friction</subject><subject>Harbor resonance</subject><subject>Harbors</subject><subject>Hydraulic constructions</subject><subject>Marine</subject><subject>Mathematical analysis</subject><subject>Offshore structures</subject><subject>Oscillations</subject><subject>Physics of the oceans</subject><subject>Port facilities and coastal structures. Lighthouses and beacons</subject><subject>Shallow water equations</subject><subject>Standing edge waves</subject><subject>Structural analysis. Stresses</subject><subject>Transverse oscillation</subject><issn>0029-8018</issn><issn>1873-5258</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkMlOwzAQQC0EEmX5BZQLgkuKx04c50ZVsQkkLnC2HGcCroJd7LSof49DgSOcPJ55s-gRcgJ0ChTExWLqDWqH7mXK6JiEKWWwQyYgK56XrJS7ZEIpq3NJQe6TgxgXlFIhKJ-Q-5nLtNP9ZrAms26NcbAverDeZb7LfDS277--Mfuww6tNdPaqQ-PDWDcpP2g3ZLH3Szwie53uIx5_v4fk-frqaX6bPzze3M1nD7kpKj7kLaVcyxIEsLYF3XSl5KySQrC6LuqSlgXQpmvLFMlGoJC6QURTIKCUXdvyQ3K2nbsM_n2VLlZvNhpMhzr0q6ikKAoQBasSef4nCZVgADWvi4SKLWqCjzFgp5bBvumwUUDV6Fkt1I9nNXpWACp5To2n3zt0NLrvgnbGxt9uxiUf5SfucsthUrO2GFSSi85gawOaQbXe_rfqE0tdlnI</recordid><startdate>20110201</startdate><enddate>20110201</enddate><creator>Wang, Gang</creator><creator>Dong, Guohai</creator><creator>Perlin, Marc</creator><creator>Ma, Xiaozhou</creator><creator>Ma, Yuxiang</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>7TN</scope><scope>F1W</scope><scope>H96</scope><scope>L.G</scope></search><sort><creationdate>20110201</creationdate><title>An analytic investigation of oscillations within a harbor of constant slope</title><author>Wang, Gang ; Dong, Guohai ; Perlin, Marc ; Ma, Xiaozhou ; Ma, Yuxiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c473t-d003a851612dd1abf5832786629949505410bfd55058b6e68abeeec4e1e88fdd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied sciences</topic><topic>Approximation</topic><topic>Asymptotic properties</topic><topic>Boussinesq model</topic><topic>Buildings. Public works</topic><topic>Computation methods. Tables. Charts</topic><topic>Dynamics of the ocean (upper and deep oceans)</topic><topic>Earth, ocean, space</topic><topic>Edge oscillations</topic><topic>Exact sciences and technology</topic><topic>External geophysics</topic><topic>Friction</topic><topic>Harbor resonance</topic><topic>Harbors</topic><topic>Hydraulic constructions</topic><topic>Marine</topic><topic>Mathematical analysis</topic><topic>Offshore structures</topic><topic>Oscillations</topic><topic>Physics of the oceans</topic><topic>Port facilities and coastal structures. Lighthouses and beacons</topic><topic>Shallow water equations</topic><topic>Standing edge waves</topic><topic>Structural analysis. Stresses</topic><topic>Transverse oscillation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Gang</creatorcontrib><creatorcontrib>Dong, Guohai</creatorcontrib><creatorcontrib>Perlin, Marc</creatorcontrib><creatorcontrib>Ma, Xiaozhou</creatorcontrib><creatorcontrib>Ma, Yuxiang</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Oceanic Abstracts</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Ocean engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Gang</au><au>Dong, Guohai</au><au>Perlin, Marc</au><au>Ma, Xiaozhou</au><au>Ma, Yuxiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An analytic investigation of oscillations within a harbor of constant slope</atitle><jtitle>Ocean engineering</jtitle><date>2011-02-01</date><risdate>2011</risdate><volume>38</volume><issue>2</issue><spage>479</spage><epage>486</epage><pages>479-486</pages><issn>0029-8018</issn><eissn>1873-5258</eissn><coden>OCENBQ</coden><abstract>Longitudinal and transverse oscillations within a harbor of constant slope are analyzed. Based on the linear shallow water approximation, longitudinal oscillations are described with Bessel equations. Ignoring friction, oscillations are forced using the period of the incident perpendicular wave field by the method of matched asymptotics. The analytic results show that the varying depth shifts the resonant wave numbers to lower values than those for the same geometric harbor with constant depth. Furthermore, we extend the shallow water equations to a linear, weakly dispersive, Boussinesq-type equation by modifying the offshore velocity component, and then use it to investigate possible existing transverse oscillations in the harbor of constant slope. These oscillations are types of standing edge waves. Their character is quite sensitive to the boundary condition at the backwall of the harbor.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.oceaneng.2010.11.021</doi><tpages>8</tpages></addata></record> |
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| ispartof | Ocean engineering, 2011-02, Vol.38 (2), p.479-486 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Applied sciences Approximation Asymptotic properties Boussinesq model Buildings. Public works Computation methods. Tables. Charts Dynamics of the ocean (upper and deep oceans) Earth, ocean, space Edge oscillations Exact sciences and technology External geophysics Friction Harbor resonance Harbors Hydraulic constructions Marine Mathematical analysis Offshore structures Oscillations Physics of the oceans Port facilities and coastal structures. Lighthouses and beacons Shallow water equations Standing edge waves Structural analysis. Stresses Transverse oscillation |
| title | An analytic investigation of oscillations within a harbor of constant slope |
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