A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction
A behavior-oriented diffusion model, governing the time evolution of the cross-shore position of coastal profiles, is studied. Here, two time-independent, space-varying coefficients, which embody the relevant physical properties, are identified simultaneously. Two sets of real data, the first measur...
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| Veröffentlicht in: | Applied mathematical modelling 2009-10, Vol.33 (10), p.3981-3996 |
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| creator | Avdeev, Alexander V. Goriounov, Eldar V. Lavrentiev, Mikhail M. Spigler, Renato |
| description | A behavior-oriented diffusion model, governing the time evolution of the cross-shore position of coastal profiles, is studied. Here,
two time-independent,
space-varying coefficients, which embody the relevant physical properties, are identified
simultaneously. Two sets of real data, the first measured over 10 years at Duck, in NC (USA), the second obtained over 39 years measurements at Delfland (Holland), have been processed numerically by a suitable “inversion algorithm”, earlier developed by the authors. This is based on the minimization of a certain cost functional in order to identify both coefficients. The numerical results, obtained by solving the diffusion equation with the so-determined coefficients, favorably agree with the real data, which fact validates and calibrates somehow the diffusion model under investigation. A short-term prediction is finally obtained for coastal profiles, using such a model. |
| doi_str_mv | 10.1016/j.apm.2009.01.010 |
| format | Article |
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two time-independent,
space-varying coefficients, which embody the relevant physical properties, are identified
simultaneously. Two sets of real data, the first measured over 10 years at Duck, in NC (USA), the second obtained over 39 years measurements at Delfland (Holland), have been processed numerically by a suitable “inversion algorithm”, earlier developed by the authors. This is based on the minimization of a certain cost functional in order to identify both coefficients. The numerical results, obtained by solving the diffusion equation with the so-determined coefficients, favorably agree with the real data, which fact validates and calibrates somehow the diffusion model under investigation. A short-term prediction is finally obtained for coastal profiles, using such a model.</description><identifier>ISSN: 0307-904X</identifier><identifier>DOI: 10.1016/j.apm.2009.01.010</identifier><language>eng</language><publisher>Elsevier Inc</publisher><subject>Behavior-oriented models ; Coastal profile evolution ; Inverse problems for parabolic equations ; Marine ; One-line models with space-varying coefficients ; Validation, identification and prediction</subject><ispartof>Applied mathematical modelling, 2009-10, Vol.33 (10), p.3981-3996</ispartof><rights>2009 Elsevier Inc.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c402t-b3deaa8b9685c833db699a8030ae2d2436db205429eb6016a322c370019e78ef3</citedby><cites>FETCH-LOGICAL-c402t-b3deaa8b9685c833db699a8030ae2d2436db205429eb6016a322c370019e78ef3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.apm.2009.01.010$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>315,781,785,3551,27926,27927,45997</link.rule.ids></links><search><creatorcontrib>Avdeev, Alexander V.</creatorcontrib><creatorcontrib>Goriounov, Eldar V.</creatorcontrib><creatorcontrib>Lavrentiev, Mikhail M.</creatorcontrib><creatorcontrib>Spigler, Renato</creatorcontrib><title>A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction</title><title>Applied mathematical modelling</title><description>A behavior-oriented diffusion model, governing the time evolution of the cross-shore position of coastal profiles, is studied. Here,
two time-independent,
space-varying coefficients, which embody the relevant physical properties, are identified
simultaneously. Two sets of real data, the first measured over 10 years at Duck, in NC (USA), the second obtained over 39 years measurements at Delfland (Holland), have been processed numerically by a suitable “inversion algorithm”, earlier developed by the authors. This is based on the minimization of a certain cost functional in order to identify both coefficients. The numerical results, obtained by solving the diffusion equation with the so-determined coefficients, favorably agree with the real data, which fact validates and calibrates somehow the diffusion model under investigation. A short-term prediction is finally obtained for coastal profiles, using such a model.</description><subject>Behavior-oriented models</subject><subject>Coastal profile evolution</subject><subject>Inverse problems for parabolic equations</subject><subject>Marine</subject><subject>One-line models with space-varying coefficients</subject><subject>Validation, identification and prediction</subject><issn>0307-904X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLAzEUhbNQsD5-gLusXDnjTTKdh65K8QUFNyruQia5oymZSU2mBf-9Gdq1woXkwDmXez5CLhnkDFh5s87Vps85QJMDSwNHZAYCqqyB4uOEnMa4BoB5UjPSL2iLX2pnfch8sDiMaGjvDTra-UCdHz6zEUNPtVdxVI5ugu-sQ4o777aj9cMtfVfOGjX9r6k1aYXtrD5oNZgUQWP1pM_JcadcxIvDe0beHu5fl0_Z6uXxeblYZboAPmatMKhU3TZlPde1EKYtm0bVqYNCbnghStNymBe8wbZMjZXgXIsKgDVY1diJM3K135uu_d5iHGVvo0bn1IB-G6UoiooLYP8aOZRVxaFORrY36uBjDNjJTbC9Cj-SgZyoy7VM1OVEXQJLAylzt89gqrqzGGTUibBONALqURpv_0j_Ag_3jZA</recordid><startdate>20091001</startdate><enddate>20091001</enddate><creator>Avdeev, Alexander V.</creator><creator>Goriounov, Eldar V.</creator><creator>Lavrentiev, Mikhail M.</creator><creator>Spigler, Renato</creator><general>Elsevier Inc</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20091001</creationdate><title>A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction</title><author>Avdeev, Alexander V. ; Goriounov, Eldar V. ; Lavrentiev, Mikhail M. ; Spigler, Renato</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c402t-b3deaa8b9685c833db699a8030ae2d2436db205429eb6016a322c370019e78ef3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Behavior-oriented models</topic><topic>Coastal profile evolution</topic><topic>Inverse problems for parabolic equations</topic><topic>Marine</topic><topic>One-line models with space-varying coefficients</topic><topic>Validation, identification and prediction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Avdeev, Alexander V.</creatorcontrib><creatorcontrib>Goriounov, Eldar V.</creatorcontrib><creatorcontrib>Lavrentiev, Mikhail M.</creatorcontrib><creatorcontrib>Spigler, Renato</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical 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>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied mathematical modelling</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Avdeev, Alexander V.</au><au>Goriounov, Eldar V.</au><au>Lavrentiev, Mikhail M.</au><au>Spigler, Renato</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction</atitle><jtitle>Applied mathematical modelling</jtitle><date>2009-10-01</date><risdate>2009</risdate><volume>33</volume><issue>10</issue><spage>3981</spage><epage>3996</epage><pages>3981-3996</pages><issn>0307-904X</issn><abstract>A behavior-oriented diffusion model, governing the time evolution of the cross-shore position of coastal profiles, is studied. Here,
two time-independent,
space-varying coefficients, which embody the relevant physical properties, are identified
simultaneously. Two sets of real data, the first measured over 10 years at Duck, in NC (USA), the second obtained over 39 years measurements at Delfland (Holland), have been processed numerically by a suitable “inversion algorithm”, earlier developed by the authors. This is based on the minimization of a certain cost functional in order to identify both coefficients. The numerical results, obtained by solving the diffusion equation with the so-determined coefficients, favorably agree with the real data, which fact validates and calibrates somehow the diffusion model under investigation. A short-term prediction is finally obtained for coastal profiles, using such a model.</abstract><pub>Elsevier Inc</pub><doi>10.1016/j.apm.2009.01.010</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Behavior-oriented models Coastal profile evolution Inverse problems for parabolic equations Marine One-line models with space-varying coefficients Validation, identification and prediction |
| title | A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction |
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