Strong solitary internal waves in a 2.5-layer model
A theoretical model for internal solitary waves for stratification consisting of two layers of incompressible fluid with a constant Brunt–Väisälä frequency and a density jump at the boundary between layers (‘2.5-layer model’) is presented. The equation of motion for solitary waves in the case of a c...
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| Veröffentlicht in: | Journal of fluid mechanics 2003-01, Vol.474, p.85-94 |
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| container_title | Journal of fluid mechanics |
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| creator | VORONOVICH, ALEXANDER G. |
| description | A theoretical model for internal solitary waves for stratification consisting of two
layers of incompressible fluid with a constant Brunt–Väisälä frequency and a density
jump at the boundary between layers (‘2.5-layer model’) is presented. The equation
of motion for solitary waves in the case of a constant Brunt–Väisälä frequency N
is linear, and nonlinearity appears due only to boundary conditions between layers.
This allows one to obtain in the case of long waves a single ordinary differential
equation for an internal solitary wave profile. In the case of nearly homogeneous
layers the solitons obtained here coincide with the solitons calculated by Choi &
Camassa (1999), and in the weakly nonlinear case they reduce to KdV solitons. In the
general situation strong 2.5-layer solitons can correspond to higher modes. Sufficiently
strong solitons could also possess a recirculating core (at least, as a formal solution). The model was applied to the data collected during the COPE experiment. The
results are in reasonable agreement with experimental data. |
| doi_str_mv | 10.1017/S0022112002002744 |
| format | Article |
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layers of incompressible fluid with a constant Brunt–Väisälä frequency and a density
jump at the boundary between layers (‘2.5-layer model’) is presented. The equation
of motion for solitary waves in the case of a constant Brunt–Väisälä frequency N
is linear, and nonlinearity appears due only to boundary conditions between layers.
This allows one to obtain in the case of long waves a single ordinary differential
equation for an internal solitary wave profile. In the case of nearly homogeneous
layers the solitons obtained here coincide with the solitons calculated by Choi &
Camassa (1999), and in the weakly nonlinear case they reduce to KdV solitons. In the
general situation strong 2.5-layer solitons can correspond to higher modes. Sufficiently
strong solitons could also possess a recirculating core (at least, as a formal solution). The model was applied to the data collected during the COPE experiment. The
results are in reasonable agreement with experimental data.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/S0022112002002744</identifier><identifier>CODEN: JFLSA7</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Boundary conditions ; Dynamics of the ocean (upper and deep oceans) ; Earth, ocean, space ; Exact sciences and technology ; External geophysics ; Internal waves ; Physics of the oceans ; Solitary waves</subject><ispartof>Journal of fluid mechanics, 2003-01, Vol.474, p.85-94</ispartof><rights>2003 Cambridge University Press</rights><rights>2003 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c444t-70236f9ee39a181a595a5afab9af201ca20a1a91a1d3e5b8df12b8f7734064893</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112002002744/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,776,780,27901,27902,55603</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=14549672$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>VORONOVICH, ALEXANDER G.</creatorcontrib><title>Strong solitary internal waves in a 2.5-layer model</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>A theoretical model for internal solitary waves for stratification consisting of two
layers of incompressible fluid with a constant Brunt–Väisälä frequency and a density
jump at the boundary between layers (‘2.5-layer model’) is presented. The equation
of motion for solitary waves in the case of a constant Brunt–Väisälä frequency N
is linear, and nonlinearity appears due only to boundary conditions between layers.
This allows one to obtain in the case of long waves a single ordinary differential
equation for an internal solitary wave profile. In the case of nearly homogeneous
layers the solitons obtained here coincide with the solitons calculated by Choi &
Camassa (1999), and in the weakly nonlinear case they reduce to KdV solitons. In the
general situation strong 2.5-layer solitons can correspond to higher modes. Sufficiently
strong solitons could also possess a recirculating core (at least, as a formal solution). The model was applied to the data collected during the COPE experiment. The
results are in reasonable agreement with experimental data.</description><subject>Boundary conditions</subject><subject>Dynamics of the ocean (upper and deep oceans)</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>External geophysics</subject><subject>Internal waves</subject><subject>Physics of the oceans</subject><subject>Solitary 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solitary internal waves in a 2.5-layer model</title><author>VORONOVICH, ALEXANDER G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c444t-70236f9ee39a181a595a5afab9af201ca20a1a91a1d3e5b8df12b8f7734064893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Boundary conditions</topic><topic>Dynamics of the ocean (upper and deep oceans)</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>External geophysics</topic><topic>Internal waves</topic><topic>Physics of the oceans</topic><topic>Solitary waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>VORONOVICH, ALEXANDER G.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering 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Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>VORONOVICH, ALEXANDER G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strong solitary internal waves in a 2.5-layer model</atitle><jtitle>Journal of fluid mechanics</jtitle><addtitle>J. Fluid Mech</addtitle><date>2003-01-10</date><risdate>2003</risdate><volume>474</volume><spage>85</spage><epage>94</epage><pages>85-94</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>A theoretical model for internal solitary waves for stratification consisting of two
layers of incompressible fluid with a constant Brunt–Väisälä frequency and a density
jump at the boundary between layers (‘2.5-layer model’) is presented. The equation
of motion for solitary waves in the case of a constant Brunt–Väisälä frequency N
is linear, and nonlinearity appears due only to boundary conditions between layers.
This allows one to obtain in the case of long waves a single ordinary differential
equation for an internal solitary wave profile. In the case of nearly homogeneous
layers the solitons obtained here coincide with the solitons calculated by Choi &
Camassa (1999), and in the weakly nonlinear case they reduce to KdV solitons. In the
general situation strong 2.5-layer solitons can correspond to higher modes. Sufficiently
strong solitons could also possess a recirculating core (at least, as a formal solution). The model was applied to the data collected during the COPE experiment. The
results are in reasonable agreement with experimental data.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112002002744</doi><tpages>10</tpages></addata></record> |
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| ispartof | Journal of fluid mechanics, 2003-01, Vol.474, p.85-94 |
| issn | 0022-1120 1469-7645 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_28017527 |
| source | Cambridge Journals |
| subjects | Boundary conditions Dynamics of the ocean (upper and deep oceans) Earth, ocean, space Exact sciences and technology External geophysics Internal waves Physics of the oceans Solitary waves |
| title | Strong solitary internal waves in a 2.5-layer model |
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