《absorbing–generatingseawardboundaryconditionsforfully-coupledhydro-morphodynamicalsolvers.》

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1、CoastalEngineering99(2015)96–108ContentslistsavailableatScienceDirectCoastalEngineeringjournalhomepage:www.elsevier.com/locate/coastalengAbsorbing–generatingseawardboundaryconditionsforfully-coupledhydro-morphodynamicalsolversGiorgioIncelli⁎,RiccardoBriganti,NicholasDoddUniversityofNottingham,U

2、niversityPark,NottinghamNG72RD,UKarticleinfoabstractArticlehistory:Thispaperpresentsanewtechniquetocomputeopenboundaryconditionsforfully-coupledhydro-Received20October2014morphodynamicalnumericalsolversbasedontheNon-LinearShallowWaterandtheExnerequations.TheseReceivedinrevisedform2February2015c

3、onditionsallowthegenerationofincidentsignalsandtheabsorptionofreflectedones,takingintoaccountAccepted3February2015thebedevolutionattheboundary.TheyusetheapproximationsforlinearwavesinshallowwaterandareAvailableonline24February2015basedonthesolutionoftheRiemannEquations.Theproposedtechniqueisimpl

4、ementedinthefully-coupledhydro-morphodynamicalnumericalmodelofKeywords:Fully-coupledmorphodynamicsBrigantietal.(2012a).OpenboundaryFirstly,thegenerationandabsorptionofsinglemonochromaticwavesarestudiedtoquantifytheerroraftertheAbsorbing-generatingboundaryconditionsreflectedwaveexitedthedomain.In

5、allcasestheerrorisalwayssmall,givingevidenceoftheeffectivenessoftheNon-LinearShallowWaterEquationsnewseawardboundaryconditions.ExnerequationFurthermore,thepropagationandreflectionofamonochromaticwavetrainoveramobilebedareconsidered.Bothflowevolutionandbedchangearenotaffectedbyspuriousoscillations

6、whenlongsequencesofwavesaretested.Additionally,averylowmobilitybedisconsideredtosimulatea‘virtuallyfixed’bedandnewbound-aryconditionresultsconsistentlyconvergetothoseforthehydrodynamiconlycase.Finally,thereflectionofauniformboreoveramobilebedisstudied.ForthiscasetheRankine–Hugoniotcondi-tionsprov

7、ideananalyticalsolution.Itisapparentthattheadoptedlinearapproximationsproduceerrorsinthevelocityestimates.Nevertheless,theconditionsperformreasonablywelleveninthisdemandingnon-linearcase.©2015ElsevierB.V.Allrightsreserved.1.Introd