Quasi-linear theory for surface wave-current interactions / / James C. McWilliams

• Record Nr.: UNISA996495171503316
• Autore: McWilliams James C.
• Pubbl/distr/stampa: Singapore : , : Springer, , [2022]; ©2022
• ISBN: 9789811928765; 9789811928758
• Descrizione fisica: 1 online resource (125 pages)
• Collana: Mathematics of Planet Earth
• Disciplina: 551.4701
• Soggetti: Ocean currents - Measurement; Ocean currents - Mathematical models; Onades; Corrents marins; Models matemàtics; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Acknowledgments -- Contents -- 1 Introduction -- 2 General Balances -- 3 Quasi-Linear Wave and Current Balances -- 3.1 Wave Quasi-Linear Equations: WQL -- 3.2 Current Quasi-Linear Equations: CQL -- 3.3 Quasi-Linear Energy Balances -- 4 Scaling Analysis -- 5 Quasi-Linear Wave Theory: CEW -- 5.1 Waves at Leading Order -- 5.2 Waves with CEW -- 6 Quasi-Linear Current Theory: WEC -- 6.1 WEC at Leading Order -- 6.2 Bernoulli Head and Surface Elevation -- 6.3 Radiation Stress -- 6.4 Energy Conversion at Leading Order -- 6.5 CEW Stokes Drift -- 6.6 CEW-WEC Force and Energy Conversion -- 7 Wave-Current Resonance -- 8 Examples -- 9 A Program for Broad-Band Wave and Current Spectra -- 10 Material Concentration and Buoyancy -- 11 Summary and Prospects -- A Navier-Stokes and Quasi-Linear Energy Balances -- A.1 Navier-Stokes Energetics -- A.2 Quasi-Linear Wave-Current Energetics -- B Quasi-Linear Surface Boundary Conditions -- C Non-divergence of uSt in Quasi-Linear Theory -- D Lagrangian Trajectories and Stokes Drift -- E ; Solvability Condition for Φ"0365Φ -- F CEW Stokes Drift -- G Irrotational Companion to the Stokes Vortex Force -- H CEW-WEC Force A -- I CEW-WEC Force B -- J Illustrative Examples -- J.1 Horizontally-Uniform Currents, uh(z) -- J.2 2D Jet Currents v(x,z) -- J.2.1 Non-resonant Solutions -- J.2.2 Resonant Solutions -- J.2.3 Broad Jets -- J.3 2D Roll-Cell Currents -- J.3.1 Non-resonant Solutions -- J.3.2 Resonant Solutions -- J.3.3 Broad Roll Cells -- J.4 Depth-Uniform Eddy Currents, uh(x,y) -- J.4.1 Non-resonant Solutions -- J.4.2 Resonant Solutions -- J.4.3 Broad Eddy Currents -- K Eddy Wave-Current Resonances -- K.1 3D Rotational Eddies -- K.2 3D Overturning Eddy Cells -- L CEW and WEC for Material Concentration and Buoyancy -- References.