{"refrec":{"BRefID":208350,"RR":"K\u00e4rn\u00e4, T.; de Brye, B.; Gourgue, O.; Lambrechts, J.; Comblen, R.; Legat, V.; Deleersnijder, E.<\/b> (2011). A fully implicit wetting\u2013drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary. Comput. methods appl. mech. eng. 200(5-8)<\/i>: 509-524. dx.doi.org\/10.1016\/j.cma.2010.07.001<\/a>","BEntID":200341,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":1,"RefStringPartII":". Comput. methods appl. mech. eng. 200(5-8)<\/i>: 509-524. https:\/\/dx.doi.org\/10.1016\/j.cma.2010.07.001<\/a>","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"K\u00e4rn\u00e4, T.; de Brye, B.; Gourgue, O.; Lambrechts, J.; Comblen, R.; Legat, V.; Deleersnijder, E.","OrigTitleTranslFlag":0,"Authorstringtrunc":"K\u00e4rn\u00e4, T. et al.<\/i>","Englishabstract":"Resolving the shoreline undulation due to tidal excursion is a crucial part of modelling water flow in estuaries and coastal areas. Nevertheless, maintaining positive water column depth and numerical stability has proved out to be a very difficult task that requires special attention. In this paper we propose a novel wetting\u2013drying method in which the position of the sea bed is allowed to fluctuate in drying areas. The method is implemented in a Discontinuous Galerkin Finite Element Model (DG-FEM). Unlike most methods in the literature our method is compatible with fully implicit time-marching schemes, thus reducing the overall computational cost significantly. Moreover, global and local mass conservation is guaranteed which is crucial for long-term environmental applications. In addition consistency with tracer equation is also ensured. The performance of the proposed method is demonstrated with a set of test cases as well as a real-world application to the Scheldt Estuary. Due to the implicit time integration, the computational cost in the Scheldt application is reduced by two orders of magnitude. Although a DG-FEM implementation is presented here, the wetting\u2013drying method is applicable to a wide variety of shallow water models.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"A fully implicit wetting\u2013drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2024-12-10 01:32:52.928458","timezone_type":1,"timezone":"+01:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":"Shallow water equations; Wetting\u2013drying; Discontinuous Galerkin; Finite element method; Implicit time integration","OtherDescriptors":null,"Notes":null,"AnaPub":2011,"MonPub":null,"DateUpdate":"2015-11-06","DateCreate":"2011-10-07","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000286905000006","VABBcode":null,"OpenAcc":0,"DOI":"10.1016\/j.cma.2010.07.001"},"refs":null,"anarec":{"AnaID":208350,"PubliDate":2011,"Pagination":"509-524","XtraPublOfAnaID":null,"ISBN":null,"Volume":"200","Issue":"5-8","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":208349,"SerRR":"Computer Methods in Applied Mechanics and Engineering. 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