03513nam 2200529 450 991061620720332120230417101557.09789811928765(electronic bk.)9789811928758(MiAaPQ)EBC7105522(Au-PeEL)EBL7105522(CKB)24978737900041(PPN)265858984(EXLCZ)992497873790004120230312d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierQuasi-linear theory for surface wave-current interactions /James C. McWilliamsSingapore :Springer,[2022]©20221 online resource (125 pages)Mathematics of Planet EarthPrint version: McWilliams, James C. Quasi-Linear Theory for Surface Wave-Current Interactions Singapore : Springer,c2022 9789811928758 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.Mathematics of planet Earth.Ocean currentsMeasurementOcean currentsMathematical modelsOnadesthubCorrents marinsthubModels matemàticsthubLlibres electrònicsthubOcean currentsMeasurement.Ocean currentsMathematical models.OnadesCorrents marinsModels matemàtics551.4701McWilliams James C.1261650MiAaPQMiAaPQMiAaPQ9910616207203321Quasi-Linear Theory for Surface Wave-Current Interactions2939497UNINA