LEADER 03511nam 2200529 450 001 996495171503316 005 20230417101557.0 010 $a9789811928765$b(electronic bk.) 010 $z9789811928758 035 $a(MiAaPQ)EBC7105522 035 $a(Au-PeEL)EBL7105522 035 $a(CKB)24978737900041 035 $a(PPN)265858984 035 $a(EXLCZ)9924978737900041 100 $a20230312d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuasi-linear theory for surface wave-current interactions /$fJames C. McWilliams 210 1$aSingapore :$cSpringer,$d[2022] 210 4$dŠ2022 215 $a1 online resource (125 pages) 225 1 $aMathematics of Planet Earth 311 08$aPrint version: McWilliams, James C. Quasi-Linear Theory for Surface Wave-Current Interactions Singapore : Springer,c2022 9789811928758 327 $aIntro -- Preface -- Acknowledgments -- Contents -- 1 Introduction -- 2 General Balances -- 3 Quasi-Linear Wave and Current Balances -- 3.1 Wave Quasi-Linear Equations: WQL -- 3.2 Current Quasi-Linear Equations: CQL -- 3.3 Quasi-Linear Energy Balances -- 4 Scaling Analysis -- 5 Quasi-Linear Wave Theory: CEW -- 5.1 Waves at Leading Order -- 5.2 Waves with CEW -- 6 Quasi-Linear Current Theory: WEC -- 6.1 WEC at Leading Order -- 6.2 Bernoulli Head and Surface Elevation -- 6.3 Radiation Stress -- 6.4 Energy Conversion at Leading Order -- 6.5 CEW Stokes Drift -- 6.6 CEW-WEC Force and Energy Conversion -- 7 Wave-Current Resonance -- 8 Examples -- 9 A Program for Broad-Band Wave and Current Spectra -- 10 Material Concentration and Buoyancy -- 11 Summary and Prospects -- A Navier-Stokes and Quasi-Linear Energy Balances -- A.1 Navier-Stokes Energetics -- A.2 Quasi-Linear Wave-Current Energetics -- B Quasi-Linear Surface Boundary Conditions -- C Non-divergence of uSt in Quasi-Linear Theory -- D Lagrangian Trajectories and Stokes Drift -- E Solvability Condition for ?"0365? -- F CEW Stokes Drift -- G Irrotational Companion to the Stokes Vortex Force -- H CEW-WEC Force A -- I CEW-WEC Force B -- J Illustrative Examples -- J.1 Horizontally-Uniform Currents, uh(z) -- J.2 2D Jet Currents v(x,z) -- J.2.1 Non-resonant Solutions -- J.2.2 Resonant Solutions -- J.2.3 Broad Jets -- J.3 2D Roll-Cell Currents -- J.3.1 Non-resonant Solutions -- J.3.2 Resonant Solutions -- J.3.3 Broad Roll Cells -- J.4 Depth-Uniform Eddy Currents, uh(x,y) -- J.4.1 Non-resonant Solutions -- J.4.2 Resonant Solutions -- J.4.3 Broad Eddy Currents -- K Eddy Wave-Current Resonances -- K.1 3D Rotational Eddies -- K.2 3D Overturning Eddy Cells -- L CEW and WEC for Material Concentration and Buoyancy -- References. 410 0$aMathematics of planet Earth. 606 $aOcean currents$xMeasurement 606 $aOcean currents$xMathematical models 606 $aOnades$2thub 606 $aCorrents marins$2thub 606 $aModels matemātics$2thub 608 $aLlibres electrōnics$2thub 615 0$aOcean currents$xMeasurement. 615 0$aOcean currents$xMathematical models. 615 7$aOnades 615 7$aCorrents marins 615 7$aModels matemātics 676 $a551.4701 700 $aMcWilliams$b James C.$01261650 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996495171503316 996 $aQuasi-Linear Theory for Surface Wave-Current Interactions$92939497 997 $aUNISA