{"refrec":{"BRefID":110829,"RR":"<b>Delhez, E.J.M.; Deleersnijder, E.</b> (2007). Overshootings and spurious oscillations caused by biharmonic mixing. <i>Ocean Modelling 17(3)</i>: 183-198. <a href=\"http://dx.doi.org/10.1016/j.ocemod.2007.01.002\" target=\"_blank\">dx.doi.org/10.1016/j.ocemod.2007.01.002</a>","BEntID":105474,"PublicFlag":1,"CheckedFlag":0,"wosflag":1,"vabbflag":1,"RefStringPartII":". <i>Ocean Modelling 17(3)</i>: 183-198. <a href=\"https://dx.doi.org/10.1016/j.ocemod.2007.01.002\" target=\"_blank\">https://dx.doi.org/10.1016/j.ocemod.2007.01.002</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Delhez, E.J.M.; Deleersnijder, E.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Delhez, E.J.M.; Deleersnijder, E.","Englishabstract":"Biharmonic mixing is often used in large scale numerical models of the ocean because of its scale selectivity; it effectively damps small scale noise and leaves the large scale dynamics nearly unaffected. The biharmonic operator lacks however positiveness and monotonicity and can therefore produce unphysical results exhibiting spurious overshootings and oscillations. This problematic behaviour cannot be avoided by the addition of an ordinary Laplacian diffusion term. It appears in both continuous and discrete approaches/solutions in both unbounded and bounded domains. The overshootings and oscillations are induced by the strong damping of the smaller scale modes and are therefore comparable to the Gibbs’ phenomenon. With appropriate boundary conditions, the variance of the field decreases monotonically and the oscillations are expected to remain small. The lack of positiveness is however a severe drawback for (dynamic) tracer studies.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"Overshootings and spurious oscillations caused by biharmonic mixing","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":"biharmonic mixing; numerical model; ocean dynamics; monotonicity; positiveness","OtherDescriptors":null,"Notes":null,"AnaPub":2007,"MonPub":null,"DateUpdate":"2012-06-07","DateCreate":"2007-06-04","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000247187700001","VABBcode":null,"OpenAcc":0,"DOI":"10.1016/j.ocemod.2007.01.002"},"refs":null,"anarec":{"AnaID":110829,"PubliDate":2007,"Pagination":"183-198","XtraPublOfAnaID":null,"ISBN":null,"Volume":"17","Issue":"3","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":45570,"SerRR":"Ocean Modelling. Elsevier: Oxford.  ISSN 1463-5003; e-ISSN 1463-5011","StandardTitleSer":"Ocean Modelling","ISSN":"1463-5003","AbbrevSer":"Ocean Modelling","StandardTitleMon":null,"StartPage":183,"Pages":16,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Delhez","Firstname":"Eric","Initials":"E.J.M.","Affiliation":"Université de Liège, LTAS – Modélisation et Méthodes Mathématiques","Discriminator":null,"CorporateFlag":0,"BEntID":105474,"AutID":145112,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":"Université de Liège; Faculté des Sciences Appliquées; Département Aérospatiale et Mécanique; Mathematical Modeling and Methods","ORCID":null,"PersID":7106,"InsID":9726},{"AutName":"Deleersnijder","Firstname":"Eric","Initials":"E.","Affiliation":"Université catholique de Louvain, Centre for Systems Engineering and Applied Mechanics (CESAME)","Discriminator":null,"CorporateFlag":0,"BEntID":105474,"AutID":148220,"OrderNr":2,"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":"0000-0003-0346-9667","PersID":3163,"InsID":8859}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":null,"BEntPrivate":null,"availability":[{"BInstID":121234,"LibID":36,"BRefID":110829,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":1,"ShelfLocCode":"121234","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":"Elsevier","City":"Oxford"}],"MONpubls":null,"pictures":[],"thestermsPath":[{"ThesaurusTerm":"Mixing processes","ThestID":5266,"Acronym":"ASFA","ThesTermPath":"Mixing processes"},{"ThesaurusTerm":"Mathematical models","ThestID":5070,"Acronym":"ASFA","ThesTermPath":"Models > Mathematical models"}],"thestermsASFA":[{"ThesaurusTerm":"Mathematical models"},{"ThesaurusTerm":"Mixing processes"}],"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":105474,"AbstractFlag":-1,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"},{"BEntID":105474,"AbstractFlag":0,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"}],"urls":[{"URL":"https://dx.doi.org/10.1016/j.ocemod.2007.01.002","externalID":"10.1016/j.ocemod.2007.01.002","URLTypeCode":"DOI","URLID":21015,"URLTypID":13,"URLType":"DOI","URLPrefix":"http://dx.doi.org/"}],"thesterms":[{"ThesaurusTerm":"Mathematical models","ThestID":5070,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"},{"ThesaurusTerm":"Mixing processes","ThestID":5266,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"}],"taxterms":null,"geoterms":null,"othterms":null,"asfacodes":null,"asfa2codes":null,"thestermsFRIS":[{"ThesaurusTerm":"Mathematical models","DutchTerm":"Wiskundige modellen","ThestID":5070,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"},{"ThesaurusTerm":"Mixing processes","DutchTerm":"Mengprocessen","ThestID":5266,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"}],"taxtermsFRIS":null,"geotermsFRIS":null,"othtermsFRIS":null,"resmessage":"","complete":1,"sessions":{"newSesName":"Haspeslagh, Jan, J.","newSesDate":{"date":"2007-06-04 13:51:19.133000","timezone_type":3,"timezone":"Europe/Brussels"},"updSesName":"Bouchti, Zohra, Z.","updSesDate":{"date":"2012-06-07 13:38:11.427000","timezone_type":3,"timezone":"Europe/Brussels"}}}