A Large Spectrum of Free Oscillations of the World Ocean Including the Full Ocean Loading and Self-attraction Effects

2009
ISBN: 978-3-540-85575-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 14, 120 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g

Reihe: Hamburg Studies on Maritime Affairs

. 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. 117 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.

Zielgruppe

Research

Autoren/Hrsg.

Müller, Malte

Fachgebiete

• Geowissenschaften Umweltwissenschaften Umweltverschmutzung, Umweltkriminalität, Umweltrecht
• Geowissenschaften Umweltwissenschaften Umweltschutz, Umwelterhaltung
• Rechtswissenschaften Öffentliches Recht Umweltrecht Umweltrecht allg., Technikrecht, Immissionsschutzrecht
• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)

Inhaltsverzeichnis

Theory and Model.- The Free Oscillations.- Synthesis of Forced Oscillations.- Synthesis of Forced Oscillations.