{"refrec":{"BRefID":104574,"RR":"<b>Delhez, E.J.M.; Deleersnijder, E.</b> (2006). The boundary layer of the residence time field. <i>Ocean Dynamics 56(2)</i>: 139-150. <a href=\"http://dx.doi.org/10.1007/s10236-006-0067-0\" target=\"_blank\">dx.doi.org/10.1007/s10236-006-0067-0</a>","BEntID":99942,"PublicFlag":1,"CheckedFlag":0,"wosflag":1,"vabbflag":null,"RefStringPartII":". <i>Ocean Dynamics 56(2)</i>: 139-150. <a href=\"https://dx.doi.org/10.1007/s10236-006-0067-0\" target=\"_blank\">https://dx.doi.org/10.1007/s10236-006-0067-0</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":"The residence time of a tracer in a control domain is usually computed by releasing tracer parcels and registering the time when each of these tracer parcels cross the boundary of the control domain. In this Lagrangian procedure, the particles are discarded or omitted as soon as they leave the control domain. In a Eulerian approach, the same approach can be implemented by integrating forward in time the advection diffusion equation for a tracer. So far, the conditions to be applied at the boundary of the control domain were uncertain. We show here that it is necessary to prescribe that the tracer concentration vanishes at the boundary of the control domain to ensure the compatibility between the Lagrangian and Eulerian approaches. When we use the Constituent oriented Age and Residence time Theory (CART), this amounts to solving the differential equation for the residence time with boundary conditions forcing the residence time to vanish at the open boundaries of the control domain. Such boundary conditions are likely to induce the development of boundary layers (at outflow boundaries for the tracer concentration and at inflow boundaries for the residence time). The thickness of these boundary layers is of the order of the ratio of the diffusivity to the velocity. They can however be partly smoothed by tidal and other oscillating flows.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"The boundary layer of the residence time field","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":"residence time; advection-diffusion; diagnostic; adjoint modelling; boundary layer","OtherDescriptors":null,"Notes":null,"AnaPub":2006,"MonPub":null,"DateUpdate":"2012-06-07","DateCreate":"2006-10-31","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000237743500004","VABBcode":null,"OpenAcc":0,"DOI":"10.1007/s10236-006-0067-0"},"refs":null,"anarec":{"AnaID":104574,"PubliDate":2006,"Pagination":"139-150","XtraPublOfAnaID":null,"ISBN":null,"Volume":"56","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":139,"Pages":12,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":{"Line1":"Sart Tilman B37","Email":"delhez@ulg.ac.be","Line2":null,"EnvName":"Belgium"},"othpubs":null,"ownerships":null,"authors":[{"AutName":"Delhez","Firstname":"Eric","Initials":"E.J.M.","Affiliation":"Université de Liège, Modélisation et Méthodes Mathématiques","Discriminator":null,"CorporateFlag":0,"BEntID":99942,"AutID":144798,"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":99942,"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":103864,"LibID":36,"BRefID":104574,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":1,"ShelfLocCode":"103864","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":"Boundary layer","ThestID":101311,"Acronym":"TRT","ThesTermPath":"Boundaries (Surfaces) > Boundary layer"},{"ThesaurusTerm":"Boundary layer","ThestID":60280,"Acronym":"CSA","ThesTermPath":"Boundary layer"},{"ThesaurusTerm":"Residence time","ThestID":6907,"Acronym":"ASFA","ThesTermPath":"Residence time"}],"thestermsASFA":[{"ThesaurusTerm":"Boundary layer"},{"ThesaurusTerm":"Boundary layer"},{"ThesaurusTerm":"Residence time"}],"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":99942,"AbstractFlag":-1,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"},{"BEntID":99942,"AbstractFlag":0,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"}],"urls":[{"URL":"https://dx.doi.org/10.1007/s10236-006-0067-0","externalID":"10.1007/s10236-006-0067-0","URLTypeCode":"DOI","URLID":21122,"URLTypID":13,"URLType":"DOI","URLPrefix":"http://dx.doi.org/"}],"thesterms":[{"ThesaurusTerm":"Boundary layer","ThestID":60280,"Acronym":"CSA","ThesTypID":2,"ThesType":"CSA Technology Research Database Master Thesaurus"},{"ThesaurusTerm":"Boundary layer","ThestID":101311,"Acronym":"TRT","ThesTypID":3,"ThesType":"Transportation Research Thesaurus"},{"ThesaurusTerm":"Residence time","ThestID":6907,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"}],"taxterms":null,"geoterms":null,"othterms":[{"OtherTerm":"Adjoint modelling","OthtID":16287},{"OtherTerm":"Advection–diffusion","OthtID":16286},{"OtherTerm":"Diagnostics","OthtID":13060}],"asfacodes":null,"asfa2codes":null,"thestermsFRIS":[{"ThesaurusTerm":"Boundary layer","DutchTerm":null,"ThestID":60280,"Acronym":"CSA","ThesTypID":2,"ThesType":"CSA Technology Research Database Master Thesaurus"},{"ThesaurusTerm":"Boundary layer","DutchTerm":null,"ThestID":101311,"Acronym":"TRT","ThesTypID":3,"ThesType":"Transportation Research Thesaurus"},{"ThesaurusTerm":"Residence time","DutchTerm":"Verblijftijd","ThestID":6907,"Acronym":"ASFA","ThesTypID":1,"ThesType":"ASFA Thesaurus List"}],"taxtermsFRIS":null,"geotermsFRIS":null,"othtermsFRIS":[{"OtherTerm":"Adjoint modelling","DutchTerm":null,"OthtID":16287},{"OtherTerm":"Advection–diffusion","DutchTerm":null,"OthtID":16286},{"OtherTerm":"Diagnostics","DutchTerm":null,"OthtID":13060}],"resmessage":"","complete":1,"sessions":{"newSesName":"VLIZ2000\\stevenc","newSesDate":{"date":"2006-10-31 08:50:29.537000","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"}}}