A Lagrange-Galerkin hp-Finite Element Method for a 3D Nonhydrostatic Ocean Model
We introduce in this paper a Lagrange-Galerkin hp -finite element method to calculate the numerical solution of a nonhydrostatic ocean model. The Lagrange-Galerkin method yields a Stokes-like problem the solution of which is computed by a second-order rotational splitting scheme that separates the c...
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| Veröffentlicht in: | Pure and applied geophysics 2016-03, Vol.173 (3), p.885-907 |
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| container_title | Pure and applied geophysics |
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| creator | Galán del Sastre, Pedro Bermejo, Rodolfo |
| description | We introduce in this paper a Lagrange-Galerkin
hp
-finite element method to calculate the numerical solution of a nonhydrostatic ocean model. The Lagrange-Galerkin method yields a Stokes-like problem the solution of which is computed by a second-order rotational splitting scheme that separates the calculation of the velocity and pressure, the latter is decomposed into hydrostatic and nonhydrostatic components. We have tested the method in flows where the nonhydrostatic effects are important. The results are very encouraging. |
| doi_str_mv | 10.1007/s00024-015-1185-8 |
| format | Article |
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hp
-finite element method to calculate the numerical solution of a nonhydrostatic ocean model. The Lagrange-Galerkin method yields a Stokes-like problem the solution of which is computed by a second-order rotational splitting scheme that separates the calculation of the velocity and pressure, the latter is decomposed into hydrostatic and nonhydrostatic components. We have tested the method in flows where the nonhydrostatic effects are important. The results are very encouraging.</description><identifier>ISSN: 0033-4553</identifier><identifier>EISSN: 1420-9136</identifier><identifier>DOI: 10.1007/s00024-015-1185-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Decomposition ; Earth and Environmental Science ; Earth Sciences ; Finite element analysis ; Geophysics ; Geophysics/Geodesy ; Hydrostatics ; Mathematical models ; Ocean models ; Physical oceanography ; Rotational ; Splitting ; Three dimensional models</subject><ispartof>Pure and applied geophysics, 2016-03, Vol.173 (3), p.885-907</ispartof><rights>Springer Basel 2015</rights><rights>Springer International Publishing 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-a357t-20c4e22e1961004cc69b093065c3afdf4b711ae1455d89092eacb487bdc77da53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00024-015-1185-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00024-015-1185-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Galán del Sastre, Pedro</creatorcontrib><creatorcontrib>Bermejo, Rodolfo</creatorcontrib><title>A Lagrange-Galerkin hp-Finite Element Method for a 3D Nonhydrostatic Ocean Model</title><title>Pure and applied geophysics</title><addtitle>Pure Appl. Geophys</addtitle><description>We introduce in this paper a Lagrange-Galerkin
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The results are very encouraging.</description><subject>Decomposition</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Finite element analysis</subject><subject>Geophysics</subject><subject>Geophysics/Geodesy</subject><subject>Hydrostatics</subject><subject>Mathematical models</subject><subject>Ocean models</subject><subject>Physical oceanography</subject><subject>Rotational</subject><subject>Splitting</subject><subject>Three dimensional models</subject><issn>0033-4553</issn><issn>1420-9136</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqNkTFPwzAQhS0EEqXwA9gssbAY7uIktkcEtCAVygCz5ToXGkiTYqcD_x5XZUBISEy3vHv37n2MnSJcIIC6jACQ5QKwEIi6EHqPjTDPQBiU5T4bAUgp8qKQh-woxjcAVKowI_Z0xWfuNbjulcTUtRTem44v12LSdM1A_LalFXUDf6Bh2Ve87gN3XN7wx75bflahj4MbGs_nnlzHH_qK2mN2ULs20sn3HLOXye3z9Z2Yzaf311cz4WShBpGBzynLCE2Z8ufel2YBRkJZeOnqqs4XCtERpsiVNmAycn6Ra7WovFKVK-SYne9816H_2FAc7KqJntrWddRvokUNWpZaGf0fKeRGYapqzM5-Sd_6TejSIzYVJrE0Gra3cafyqYEYqLbr0Kxc-LQIdovD7nDYhMNucdhtiGy3E5M2tR1-OP-59AW9AooO</recordid><startdate>20160301</startdate><enddate>20160301</enddate><creator>Galán del Sastre, Pedro</creator><creator>Bermejo, Rodolfo</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TG</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KL.</scope><scope>L.G</scope><scope>L7M</scope><scope>M2P</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PYCSY</scope><scope>Q9U</scope></search><sort><creationdate>20160301</creationdate><title>A Lagrange-Galerkin hp-Finite Element Method for a 3D Nonhydrostatic Ocean Model</title><author>Galán del Sastre, Pedro ; 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| subjects | Decomposition Earth and Environmental Science Earth Sciences Finite element analysis Geophysics Geophysics/Geodesy Hydrostatics Mathematical models Ocean models Physical oceanography Rotational Splitting Three dimensional models |
| title | A Lagrange-Galerkin hp-Finite Element Method for a 3D Nonhydrostatic Ocean Model |
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