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OverviewThisbookdependsonadissertationpreparedattheDepartementofGeosciencesat theUniversityHamburg. ItwasacceptedbytheDepartementwiththegradesumma cumlaudein2008. IwouldliketothankmyacademicadvisorProf. Dr. WilfriedZahelforhisconstant supportandforthelongandconstructivediscussions. Further,IwouldliketothankProf. Dr. Jur .. genSundermann .. forintroducingmeto theInternationalMaxPlanckResearchSchool. TheInternationalMaxPlanckResearchSchoolforMaritimeAffairsandinparticu larProf. Dr. Dr. h. c. Jur .. genBasedowandhisco directorsarethankedforgivingme theopportunitytoperformthisstudyinHamburg. IacknowledgethecomputationalsupportoftheDKRZandNEC,especiallythe helpfulcommentsofKlausKetelsenandJens OlafBeismann. LastbutnotleastmanythankstomywifeJanaSillmannandmysonDariusfor givingmethetimeIneededforthisstudyandprovidingajoyfulandlovinghome. ThisworkhasbeenfundedbytheInternationalMaxPlanckResearchSchoolfor MaritimeAffairsattheUniversityHamburg. Hamburg,August2008 MalteMuller .. Contents Abstract...1 1 Introduction...3 2 TheoryandModel ...7 2. 1 Theory ...7 2. 1. 1 SecondaryForces:TheLoadingandSelf AttractionEffect . 8 2. 1. 2 TheEquationsofMotionandtheEquationofContinuity...11 2. 1. 3 EnergyBalance...1 4 2. 1. 4 ParameterizationoftheLSA AnAnalyticalApproach ...16 2. 2 Model...18 2. 2. 1 TheImplicitlyRestartedArnoldiMethod...19 2. 2. 2 TheParallelizationwithMPI ...21 2. 2. 3 ThePerformanceoftheModel...21 3 TheFreeOscillations...23 3. 1 GravitationalModes...23 3. 1. 1 The? value...24 3. 1. 2 TheIn?uenceoftheLSA ...25 3. 1. 3 TheAntarcticKelvinWave...30 3. 1. 4 NewModes...30 3. 1. 5 TheSlowestModes ...31 3. 2 VorticityModes...32 3. 2. 1 TopographicalVorticityModes...32 3. 2. 2 PlanetaryVorticityModes...34 4 SynthesisofForcedOscillations...39 4. 1 TidalDynamicsandtheIn?uenceofLSA...40 4. 1. 1 TheProcedureofTidalSynthesis...40 4. 1. 2 LSA effectonForcedOscillations...45 4. 1. 3 TheSynthesisoftheSemidiurnalandDiurnalTides...50 xi xii Contents 4. 2 IntegrationoftheSolutionsofaTidalModelwithAssimilationof Data...55 4. 2. 1 NewExpansionCoef?cients...55 4. 2. 2 NewFrequenciesandAdjointEigenfunctions ...59 4. 2. 3 Results...61 4. 2. 4 Summary...70 4. 2. 5 Discussion...71 5 Conclusion ...73 Figures...75 Tables...101 Appendix...105 ListofSymbols ...109 References...113 Index ...1 17 Abstract AnewsetofbarotropicfreeoscillationsoftheWorldOceaniscomputedwithex plicitconsiderationofdissipativetermsandthefulloceanloadingandself attraction effect(LSA). Thissetcontainsfreeoscillationsthatdidnotappearinthespectraof previousstudies. Furthermore,theexpansiontowardslongerperiods(165hours) yieldsnewglobalplanetarymodes. Altogether169freeoscillationsarecomputed withperiodslongerthan7. 7hours. Ofthese,71aregravitationalmodes,92areto pographicallycontrolledvorticitymodes,and6areplanetaryvorticitymodes. The in?uenceoftheLSAisinvestigatedforallthreekindsofmodeswithrespectto changesintheperiodsandinthespatialstructureoftheseasurfaceelevationand thehorizontalmasstransports. Inparticular,formodesinthesemi diurnalanddi urnalperiodrange,theparameterizationoftheLSAisanalyzed. Forthefreeoscillationsintheperiodrangefrom9to40hoursthecorresponding adjointsolutionsarecomputedandusedtosynthesizesemidiurnalanddiurnaltides ofseconddegree. Sincethesefreeoscillationsaredeterminedwithandwithoutcon siderationofthefullLSA effect,thisstudyallowsforadetailedanalysisoftheLSA onthedynamicsofoceantides,e. g. anphysicalexplanationisgivenfortheinduced phasedelaycomputedbyoceantidemodels. Further,thesynthesisgivesaspectral compositionofcertainwellknowntidalfeaturesandpairsoffreeoscillationsare identi?ed,diminishingtheircontributioneitheronaglobalorlocalscale. Further,semidiurnalanddiurnaltidalsolutionsofatidalmodelwithassimilation ofdataareintegratedintheprocedureofsynthesizingtides. Full Product DetailsAuthor: Malte MüllerPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2009 ed. Volume: 14 Dimensions: Width: 15.50cm , Height: 0.80cm , Length: 23.50cm Weight: 0.219kg ISBN: 9783540855750ISBN 10: 3540855750 Pages: 120 Publication Date: 04 December 2008 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsTheory and Model.- The Free Oscillations.- Synthesis of Forced Oscillations.- Synthesis of Forced Oscillations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |