{"refrec":{"BRefID":110833,"RR":"<b>Bernard, P.-E.; Chevaugeon, N.; Legat, V.; Deleersnijder, E.; Remacle, J.-F.</b> (2007). High-order <i>h</i>-adaptive discontinuous Galerkin methods for ocean modelling. <i>Ocean Dynamics 57(2)</i>: 109-121. <a href=\"http://dx.doi.org/10.1007/s10236-006-0093-y\" target=\"_blank\">dx.doi.org/10.1007/s10236-006-0093-y</a>","BEntID":105478,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Ocean Dynamics 57(2)</i>: 109-121. <a href=\"https://dx.doi.org/10.1007/s10236-006-0093-y\" target=\"_blank\">https://dx.doi.org/10.1007/s10236-006-0093-y</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Bernard, P.-E.; Chevaugeon, N.; Legat, V.; Deleersnijder, E.; Remacle, J.-F.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Bernard, P.-E. <i>et al.</i>","Englishabstract":"In this paper, we present an h-adaptive discontinuous Galerkin formulation of the shallow water equations. For a discontinuous Galerkin scheme using polynomials up to order <i>p</i>, the spatial error of discretization of the method can be shown to be of the order of <i>h</i><sup>p+1</sup>, where <i>h</i> is the mesh spacing. It can be shown by rigorous error analysis that the discontinuous Galerkin method discretization error can be related to the amplitude of the inter-element jumps. Therefore, we use the information contained in jumps to build error metrics and size field. Results are presented for ocean modelling problems. A first experiment shows that the theoretical convergence rate is reached with the discontinuous Galerkin high-order h-adaptive method applied to the Stommel wind-driven gyre. A second experiment shows the propagation of an anticyclonic eddy in the Gulf of Mexico.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"High-order <i>h</i>-adaptive discontinuous Galerkin methods for ocean modelling","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2024-12-10 01:33:17.368041","timezone_type":1,"timezone":"+01:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":"shallow water equations H-adaptivity; discontinuous Galerkin; a posteriori error estimation","OtherDescriptors":null,"Notes":null,"AnaPub":2007,"MonPub":null,"DateUpdate":"2018-05-17","DateCreate":"2007-06-05","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000245987900003","VABBcode":null,"OpenAcc":0,"DOI":"10.1007/s10236-006-0093-y"},"refs":null,"anarec":{"AnaID":110833,"PubliDate":2007,"Pagination":"109-121","XtraPublOfAnaID":null,"ISBN":null,"Volume":"57","Issue":"2","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":45486,"SerRR":"Ocean Dynamics. Springer-Verlag: Berlin; Heidelberg; New York.  ISSN 1616-7341; e-ISSN 1616-7228","StandardTitleSer":"Ocean Dynamics","ISSN":"1616-7341","AbbrevSer":"Ocean Dynamics","StandardTitleMon":null,"StartPage":109,"Pages":13,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Bernard","Firstname":"Paul-Emile","Initials":"P.-E.","Affiliation":"Center for Systems Engineering and Applied Mechanics (CESAME), Université Catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":105478,"AutID":145540,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"CESAME","InsFSN":"Université Catholique de Louvain; Centre d'ingénierie des systèmes d'automatique et de mécanique appliquée","ORCID":null,"PersID":27128,"InsID":8859},{"AutName":"Chevaugeon","Firstname":null,"Initials":"N.","Affiliation":"Département d’Architecture, d’Urbanisme de Génie Civil et Environnemental, Université Catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":105478,"AutID":145545,"OrderNr":2,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":"Université Catholique de Louvain; Faculté des sciences appliquées; Architecture, urbanisme, génie civil et environnemental","ORCID":null,"PersID":null,"InsID":7178},{"AutName":"Legat","Firstname":"Vincent","Initials":"V.","Affiliation":"Center for Systems Engineering and Applied Mechanics (CESAME), Université Catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":105478,"AutID":145541,"OrderNr":3,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"CESAME","InsFSN":"Université Catholique de Louvain; Centre d'ingénierie des systèmes d'automatique et de mécanique appliquée","ORCID":"0000-0002-1152-944X","PersID":12493,"InsID":8859},{"AutName":"Deleersnijder","Firstname":"Eric","Initials":"E.","Affiliation":"Institut d’Astronomie et de Géophysique G. Lemaître, Université Catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":105478,"AutID":142656,"OrderNr":4,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"ELIc","InsFSN":"Université Catholique de Louvain; Science and Technology Sector; Earth and Life Institute; Earth and Climate division","ORCID":"0000-0003-0346-9667","PersID":3163,"InsID":468},{"AutName":"Remacle","Firstname":"Jean-François","Initials":"J.-F.","Affiliation":"Département d’Architecture, d’Urbanisme de Génie Civil et Environnemental, Université Catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":105478,"AutID":148334,"OrderNr":5,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":"Université Catholique de Louvain; Faculté des sciences appliquées; Architecture, urbanisme, génie civil et environnemental","ORCID":"0000-0002-4798-6458","PersID":12494,"InsID":7178}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":null,"BEntPrivate":null,"availability":[{"BInstID":121238,"LibID":36,"BRefID":110833,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":1,"ShelfLocCode":"121238","RFID":null,"PaidValue":null,"Medium":"Server","Description":null,"Acronym":"VLIZ","Library":"Vlaams Instituut voor de Zee","DutchTerm":"Open Marien Archief","URL":null,"ClassifID":235,"Classification":"Open Marine Archive","ReqLink":null,"ClassifTypID":5,"URLLocation":"https://www.vliz.be/imisdocs/publications/","SubDir":0,"InternalReq":0,"LoggedInReq":0,"Disclaimer":"Disclaimer_OMA","DutchDisclaimer":null,"FileFormat":".pdf","FileDescr":"pdf","InsPub":1,"InsID":36,"FileFormID":6,"LendableFlag":1,"PublicFlag":1,"orderLib":"A","Notes":null,"AccConID":null,"AccessConstraint":null,"LicURL":null}],"litstyles":null,"thespers":null,"arch2discl":null,"SERpubls":[{"PublName":"Springer-Verlag","City":"Berlin; Heidelberg; New York"}],"MONpubls":null,"pictures":[],"thestermsPath":[{"ThesaurusTerm":"Equations","ThestID":2852,"Acronym":"ASFA","ThesTermPath":"Equations"},{"ThesaurusTerm":"Modelling","ThestID":5269,"Acronym":"ASFA","ThesTermPath":"Modelling"}],"thestermsASFA":[{"ThesaurusTerm":"Equations"},{"ThesaurusTerm":"Modelling"}],"taxtermsASFA":null,"geotermsASFA":null,"collections":[{"Collection":"OMA - Open Marien Archief","ShortName":"OMA"}],"conf":null,"proj":null,"Physdatasets":null,"spcols":{"222":{"SpName":"BMB - Belgische Mariene Bibliografie","SpColID":222,"ParSpColID":null,"TopParID":null,"ShortName":"BMB","URLLocation":null,"LibID":36,"OpenRepoFlag":null,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"BMB"},"221":{"SpName":"OMA - Open Marien Archief","SpColID":221,"ParSpColID":null,"TopParID":null,"ShortName":"OMA","URLLocation":null,"LibID":36,"OpenRepoFlag":1,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"OMA"}},"doi":null,"publs":null,"serparttypes":null,"monauthors":null,"MParts":null,"SParts":null,"hLibs":null,"langs":[{"BEntID":105478,"AbstractFlag":-1,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"},{"BEntID":105478,"AbstractFlag":0,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"}],"urls":[{"URL":"https://dx.doi.org/10.1007/s10236-006-0093-y","externalID":"10.1007/s10236-006-0093-y","URLTypeCode":"DOI","URLID":20896,"URLTypID":13,"URLType":"DOI","URLPrefix":"http://dx.doi.org/"}],"thesterms":[{"ThesaurusTerm":"Equations","ThestID":2852,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"},{"ThesaurusTerm":"Modelling","ThestID":5269,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"}],"taxterms":null,"geoterms":null,"othterms":null,"asfacodes":null,"asfa2codes":null,"thestermsFRIS":[{"ThesaurusTerm":"Equations","DutchTerm":"Vergelijkingen","ThestID":2852,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"},{"ThesaurusTerm":"Modelling","DutchTerm":"Modellering","ThestID":5269,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"}],"taxtermsFRIS":null,"geotermsFRIS":null,"othtermsFRIS":null,"resmessage":"","complete":1,"sessions":{"newSesName":"Haspeslagh, Jan, J.","newSesDate":{"date":"2007-06-05 09:33:22.597000","timezone_type":3,"timezone":"Europe/Brussels"},"updSesName":"Lyssens, Liesbeth, L.","updSesDate":{"date":"2018-05-17 20:34:05.667000","timezone_type":3,"timezone":"Europe/Brussels"}}}