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PGRemya,RajKumar,SujitBasuandAbhijitSarkar
OceanScienceDivision,AtmosphericandOceanicSciencesGroup,
SpaceApplicationsCentre,Ahmedabad380015,India.
Wavepredictionandhindcaststudiesareimportantinoceanengineering,coastalinfrastructuredevelopmentandmanagement.Inviewofsparseandinfrequentin-situobservations,modelderivedhindcastwavedatacanbeusedfortheassessmentofwaveclimateinoffshoreandcoastalareas.Inthepresentstudy,MIKE21SWModelhasbeenusedtocarryoutwavehindcastexperimentsintheIndianOcean.Modelrunshavebeenmadefortheyear2005usingQuickSCATscatterometerwindsblendedwithECMWFmodelwinds.Inordertostudytheimpactofsouthernoceanswells,themodelhasbeenrunintwodifferentdomains.Themodelsimulatedwaveparametershavebeenvalidatedbycomparingwithbuoyandaltimeterdataandvariousstatisticalyardstickshavebeenemployedtoquantifythevalidation.PossiblereasonforthepoorerperformanceofthemodelintheArabianSeahasalsobeenpointedout.
1.Introduction
Oceanwavehindcastandforecastareofparamountimportanceforthemanagementofoffshorestructureconstruction,shipnavigation,andnavaloperations.In-situobservationsarelocation-specificandgenerallysparse.IntheIndianOceanthesituationisworse,comparedtotheAtlanticandPacific,becauselongtimeseriesdataofin-situobservationsaremostlyunavailable.Ontheotherhand,itissimplyimpossibletoestimatethewaveclimateandextremeseastatewithoutsuchalongtimeseries.Hence,inrecentyears,theattentionisshiftedtotheuseofnumericalwavemodelgeneratedwavedatafortheassessmentofwaveclimate.SverdrupandMunk(1947)werethefirsttodevelopoperationalwavepredictiontechnique.Thetechniquewaspurelystatisticalandwasbasedonjustoneparameter,viz.,thesignificantwaveheight.Inotherwords,thespectralcharacteroftheseastatewascompletelyneglected.Later,thespectralcharacteristicsofwavesweretakenintoaccountforthedevelopmentofmethodsbasedonwavespectrum.Currently,therearemanyspectralwavemodelsforwavehindcastandforecaststudiesintheopenoceanaswellasinthecoastalocean.Inthepresentstudy,MIKE21SWmodelhasbeenutilizedprimarilyforhindcastexperiments.MIKE21SWisanewgenerationspectralwindwavemodel,basedonunstructuredmeshes,andisdevelopedbyDanishHydraulicInstitute(DHI2005).Themodelsimulatesgrowth,decay,andtransformationofwindgeneratedwavesandswellsinoffshoreandcoastalareas.Asmentionedearlier,theprincipalobjectiveofthepresentstudyistocarryouthindcastexperimentswithMIKE-21modelintheIndianOceanandtovalidatethehindcastswithavailablein-situandremotelysenseddata.Asaspinoff,wehavealsostudiedtheimpactofsouthernoceanwaveconditionsonthewaveconditionsofnorthIndianOcean.
Keywords.Wavemodelling;
MIKE21SW;
swell;
altimeter.
2.Dataandmethodology
MIKE21SWmodelisbasedonflexiblemesh,whichallowsforcoarsespatialresolutionintheoffshoreareaandhighresolutionintheshallowcoastalwaters.MIKE21SWmodelincludestwodifferentformulations:
adirectionaldecoupledparametricformulationandafullyspectralformulationofthewaveactionbalanceequation.Thefirstformulationissuitableonlyfornearshoreconditions,whereasthesecondoneisapplicableinbothnearshoreandoffshoreregions.Hence,inthisstudythesecondformulationhasbeenusedasthestudyareacontainsbothshallowandoffshoreregions.InthefullyspectralformulationthesourcefunctionsarebasedontheWAMCycle4formulation(Komenetal1994).ThesourcetermfordepthlimitedwavebreakingisbasedontheformulationbyBattjesandJanssen(1978).AshortdescriptionofthesourcetermcanbefoundinSø
rensenetal(2004).Inthepresentstudy,themodeldomaincoverstheIndianOceanregion,60°
S~25°
N;
40°
~100°
E.Forthemodelruns,thespatialresolutionhasbeenchosentobe0.25°
inthecoastalwatersand1°
fortherestoftheregion.This,however,doesnotmeanthattheresolutionisconstanteverywhereinthisdomain.MIKE21SWmodelusesaflexiblemeshformodelruns.Theflexiblemeshallowsfineresolutionnearthecoast.Infact,theresolutionreachesasfineas0.003◦nearthecoastintheflexiblebathymetrygridusedforthisstudy.ThebathymetryisfromGEBCO(GeneralBathymetricChartsoftheOcean)producedbyIntergovernmentalOceanographicCommission(2003).TheresolutionofGEBCObathymetrygridis1×
1minute.ThemodelhasbeenforcedbyQuickSCATscatterometerwindsblendedwithECMWFmodelwinds.ThewinddataareobtainedfromIFREMER,France,andareavailableataspatialresolutionof0.25°
inlongitudeandlatitude.Thequalityoftheblendedwindshasbeencheckedbycomparingthemwithbuoywindsandthecomparisonhasproducedencouragingresults.Thewindspeedcorrelationcoefficientsrangefrom0.80to0.90.TheRMSdifferencebetweenbuoywindsandblendedwindsis<
2m/s.TheJASON1satellitesystemcarryingastate-of-the-artaltimetersensor,launchedonDecember7,2001,isprovidingwindandwave(besidessealevel)informationoverglobaloceansregularly.
3.Modelexperiments
Asmentionedearlier,thebasicobjectiveistocarryouthindcastswithMIKE-21andsubsequentlytovalidatethehindcasts.Forthispurpose,themodelhasbeenearliercalibratedusingnumberofin-situdataofIndianOceanregionandvariousmodelparameterssuchasbreakingparameter,bottomfrictionandwhitecappingweretunedtoprovidebetterwavepredictions.Intheexperiments,wavebreakingparameter(γ=0.5),bottomfriction(Nikuradseroughness)(KN=0.04m),andwhitecappingcoefficients(Cdis=3.5)werefoundtobeoptimum.Andthesecoefficientshavebeenusedintheexperimentsperformedforthepresentstudy.However,inordertofulfillthesecondaryobjectiveofstudyingtheimpactofsouthernoceanwavesonthenorthernoceanwavecharacteristics,apartfromtheearlierselectedmodeldomain,asmallerone(10°
S–25°
N,50°
–100°
E)wasalsoselected.Spatialresolutionforthesmallerdomain(Domain10S)modelisidenticalwiththatforthelargerdomain(Domain60S).Themodelsimulationswereperformedfortheyear2005.Themodelderivedwaveparameterslikesignificantwaveheight(Hs),swellwaveheight(Hss),windseaheight(Hsw),meanwaveperiod(Tm)andmeanwavedirection(MWD)werecomparedwithsimilarparametersobtainedfromNIOTbuoys,mooredintheArabianSea(AS)andBayofBengal(BOB).
4.Resultsanddiscussions
Asmentionedearlier,performanceofthemodelwasevaluatedbothinthelargerandsmallerdomains.Weevaluatedtheperformanceintermsofsignificantwaveheight,swellheight,windseaheight,meanwaveperiod,meanwavedirectioninbothASandBOB.Inbuoymeasurements,forseaandswellseparation,thewavespectrummeasurementsbetween0.04and0.1Hzisconsideredlowfrequency(swell)componentsandbetween0.1and0.5Hzistakenashighfrequency(sea)components.Modelalsofollowsthesamecriteriafortheseaandswellseparation.Thedefinitionofmeanwaveperiodfromthebuoyis
.Althoughwecomparedthesimulatedandobservedwaveparametersatsixdifferentbuoylocationsforeachofthebasins,theresultsareshownatonlyonerepresentativelocationforeachofthebasins.TheArabianSeaexperiencesthreedifferentseasonsinayear:
pre-monsoon(February–May),southwestmonsoon(June–September)andnortheastmonsoon(October–January).Itcanbeseenthatthedeviationismorepronouncedinpremonsoonandnortheast(NE)monsoonseasons.ThisfindingwastrueforallthesixbuoysintheAS.Duringsouthwest(SW)monsoonseason,thewindseasaredominatingandthismightbethereasonforthechangeinperformanceduringSWmonsoon.Duringpre-monsoonseason,largescalewindsareweakandhenceseabreezehasanimpactonthediurnalcycleoftheseastatealongthewestcoastofIndia.ThestudyalsoclearlyshowsthatMIKE21SWmodeliscapableofprovidinggoodqualitysimulationofwindgeneratedwavesandswellsintheoffshoreandcoastalareas.
5.Summary
Inthisstudy,anattempthasbeenmadetocarryouthindcastsofwaveparametersintheIndianOceanusingMIKE21SWmodel.Suchhindcastsareimportantinoceanengineeringandcoastalinfrastructuredevelopmentandmanagement.Avariableresolutionhasbeenusedfortheproperrepresentationofdeepwaterwavesandcoastalwaves.Inordertoevaluatetheeffectofsouthernoceanswells,twodifferentmodeldomainshavebeenchosen.IthasbeenfoundthatthereisindeedasignificantimpactoftheseswellsonthemodelsimulationintheBayofBengalbasin.Allthevalidationresultspointtothefactthattheperformanceofthemodelisquitesatisfactory.HenceitcanbeconcludedwithreasonableconfidencethatthemodelwiththisparticularconfigurationcanservethepurposeofreliablewavehindcastsintheIndianOceanregion.
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