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1、Mathematics-in-IndustryCaseStudiesJournal,Volume2,pp.16-33(2010)MathematicalandNumericalModelingoftheAquaBuOYWaveEnergyConverterWacher,A.∗Neilsen,K.†Abstract.ThispaperpresentsthemathematicalmodelingandnumericalmethodologyperformedpriortotheprototypedeploymentoftheAquaBuOY,one
2、ofthefewwaveenergydevicesthathavereachedtheoceandeploymentstage.Thecombinationofnumericalcomputations,andlaboratorytestingproducedsomeencouragingfindingsabouthowtheAquaBuOYrespondstorealwaveconditions.However,italsohighlighteddeficienciesinsomeoftheearlymodeling,whichemphasized
3、theneedforatimedomainmodelinrealisticwaveconditionsthatincludesaccuratehydrodynamicanddragcoefficients.ThispaperfocusesonthegoverningequationsthatmodeltheverticaldynamicsoftheAquaBuOYandthenumericalsolutionsoftheseequationsinordertopredicttheabsorbedpowerofthedevice.Numericalre
4、sultsarepresentedinthetimedomainforbothregularandirregularwaveregimes(realisticwaveconditions)aswellascomparedtoexperimentaldatainaregularwaveregime.Whilethetwobodysystemischallengingtomodel,duetotheinclusionofvariablessuchasthewaveforcingtermaswellasidentifyingthenonlinearda
5、mpingtermalongwithalinearspringtermneededtomodelthepowertakeoffsystem,itdoesprovidearobusttoolforwaveenergyresearch.Keywords.Waveenergy,Industrialmathematicalmodeling1IntroductionTheworldenergydemandisincreasingatanalarmingrate,andproducingelectricityfromalterna-tiveorrenewabl
6、eenergysourcesisbecominganecessity.Mostgovernmentsaresettingambitioustargets,whichcannotcurrentlybemetwithexistingtechnologies.Itisthereforecrucialtofindcosteffectivewaystoharnessenergyfromcleanandsustainablesources.Theoffshorerenewableenergysectorisseeingadrasticincreaseinitsac
7、tivities.Wave,current,tidalandoffshorewind∗DepartmentofMathematicalSciences,DurhamUniversity,Durham,DH13LE,UnitedKingdomabigail.wacher@durham.ac.uk†RambøllDenmark,Bredevej2,2830Virum,Denmarkkin@ramboll.dk16MathematicalandNumericalModelingoftheAquaBuOYWaveEnergyConverteraretopi
8、csthathavebeenunderacademicinvestigationfordecades,buthaveseenarecen
