LEADER 05320nam 22006375 450 001 9910130577303321 005 20200630142910.0 010 $a1-118-66918-5 010 $a3-642-50990-8 024 7 $a10.1007/978-3-642-50990-2 035 $a(CKB)3400000000103643 035 $a(SSID)ssj0000927686 035 $a(PQKBManifestationID)11518252 035 $a(PQKBTitleCode)TC0000927686 035 $a(PQKBWorkID)10908289 035 $a(PQKB)10383604 035 $a(DE-He213)978-3-642-50990-2 035 $a(MiAaPQ)EBC3089338 035 $a(PPN)190288310 035 $a(EXLCZ)993400000000103643 100 $a20121227d1987 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aTopographic Waves in Channels and Lakes on the f-Plane$b[electronic resource] /$fby Thomas Stocker, Kolumban Hutter 205 $a1st ed. 1987. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1987. 215 $a1 online resource (X, 176 p. 60 illus.) 225 1 $aCoastal and Estuarine Studies,$x0724-5890 ;$v21 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-17623-3 320 $aIncludes bibliographical references and indexes. 327 $a1. Introduction -- 1.1 Preamble -- 1.2 Waves in waters -- 1.3 Observations ? Their interpretations -- 1.4 Aim of this work -- 2. Governing equations -- 2.1 Equations of adiabatic fluid flow -- 2.2 Vorticity, potential vorticity, topographic Rossby waves -- 2.3 Baroclinic coupling ? the two-layer model -- 2.4 Continuous stratification -- 2.5 TW-equation in orthogonal coordinate systems -- 3. Some known solutions of the TW-equation in various domains -- 3.1 Circular basin with parabolic bottom -- 3.2 Circular basin with a power-law bottom profile -- 3.3 Elliptic basin with parabolic bottom -- 3.4 Elliptic basin with exponential bottom -- 3.5 Topographic waves in infinite domains -- 4. The Method of Weighted Residuals -- 4.1 Application to the TW-equation -- 4.2 Symmetrization -- 5. Topographic waves in infinite channels -- 5.1 Basic concept -- 5.2 Dispersion relation -- 5.3 Channel solutions -- 5.4 Velocity profiles -- 5.5 Alternative solution procedures -- 5.6 Hyperbolically curved channels -- 6. Topographic waves in rectangular basins -- 6.1 Crude lake model -- 6.2 Lake model with non-constant thalweg -- 7. Reflection of topographic waves -- 7.1 Reflection at a vertical wall -- 7.2 Reflection at an exponential shore -- 7.3 Reflection at a sin2-shore -- 8. Review and outlook: Review and outlook: Restrictions of this study ? A list of unsolved problems -- 8.1 A brief summary -- 8.2 Validity of TW-equations -- 8.3 Single or multivalued dispersion relation -- 8.4 Bay-type modes -- 8.5 A list of unsolved problems -- 8.6 Measurements, observations -- Appendix A -- Appendix B -- Appendix C -- References -- Author Index. 330 $aThe last one or two decades have witnessed an increased interest in to­ pographic Rossby waves, both from a theoretical computational as well as an observational point of view. However, even though long periodic pro­ cesses were observed in lakes and ocean basins with considerable detail, it appears that interpretation in terms of physical models is not suffi­ ciently conclusive. The reasons for this lack in understanding may be sought both, in the insufficient spatial resolution or the brevity of the time series of the available data and the inadequacy of the theoretical understanding of long periodic oscillating processes in lakes and ocean bays. Advancement will emerge from intensified studies of both aspects, but it is equally our believe that the understanding of long per'iodic oscillations in lakes is presently likely to profit most from a theore­ tical-computational study of topographic Rossby waves in enclosed basins. With this tractate we aim to provide the reader with the basic concepts of wave motion in shallow waters at subinertial frequencies. Our ques­ tions throughout this monogra~h are essentially: How can the solutions to this topographic wave equation in a prescribed idealized domain be construced; what are the physical properties of these solutions; are their features identifiable by observations; how reliable are such in­ terpretations, etc. 410 0$aCoastal and Estuarine Studies,$x0724-5890 ;$v21 606 $aEcology  606 $aOceanography 606 $aGeophysics 606 $aEcology$3https://scigraph.springernature.com/ontologies/product-market-codes/L19007 606 $aOceanography$3https://scigraph.springernature.com/ontologies/product-market-codes/G25005 606 $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009 615 0$aEcology . 615 0$aOceanography. 615 0$aGeophysics. 615 14$aEcology. 615 24$aOceanography. 615 24$aGeophysics/Geodesy. 676 $a577 700 $aStocker$b Thomas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0920409 702 $aHutter$b Kolumban$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910130577303321 996 $aTopographic Waves in Channels and Lakes on the f-Plane$92064434 997 $aUNINA