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001451604 001__ 1451604
001451604 003__ OCoLC
001451604 005__ 20230310004708.0
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001451604 008__ 221203s2022\\\\sz\\\\\\o\\\\\000\0\eng\d
001451604 019__ $$a1352796047
001451604 020__ $$a9783031095597$$q(electronic bk.)
001451604 020__ $$a3031095596$$q(electronic bk.)
001451604 020__ $$z3031095588
001451604 020__ $$z9783031095580
001451604 0247_ $$a10.1007/978-3-031-09559-7$$2doi
001451604 035__ $$aSP(OCoLC)1352968496
001451604 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dOCLCF$$dUKAHL$$dCVM$$dN$T
001451604 049__ $$aISEA
001451604 050_4 $$aGC10.4.M36
001451604 08204 $$a551.46001/5118$$223/eng/20221213
001451604 24504 $$aThe mathematics of marine modelling:$$bwater, solute and particle dynamics in estuaries and shallow seas /$$cHenk Schuttelaars, Arnold Heemink, Eric Deleersnijder, editors.
001451604 260__ $$aCham :$$bSpringer,$$c2022.
001451604 300__ $$a1 online resource (324 p.).
001451604 4901_ $$aMathematics of Planet Earth ;$$vv.9
001451604 500__ $$a6.3.3 Forced 2D Turbulence on Confined Domains
001451604 500__ $$aIncludes index.
001451604 50500 $$tBasic Equations of Marine Flows /$$rKnut Klingbeil$$rEric Deleersnijder$$rOliver Fringer$$rLars Umlau --$$tWater Waves in Isotropic and Anisotropic Media: A comparison /$$rLeo R. M. Maas --$$tA Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling /$$rClint Dawson$$rAli Samii --$$tTides in Coastal Seas. Influence of Topography and Bottom Friction /$$rPieter C. Roos$$rHuib E. de Swart --$$tVariational Water-Wave Modeling: From Deep Water to Beaches /$$rOnno Bokhove --$$tQuasi-2D Turbulence in Shallow Fluid Layers /$$rHerman J. H. Clercx --$$tTurbulent Dispersion /$$rBenoit Cushman-Roisin --$$tSpreading and Mixing in Near-Field River Plumes /$$rRobert D. Hetland --$$tLagrangian Modelling of Transport Phenomena Using Stochastic Differential Equations /$$rArnold Heemink$$rEric Deleersnijder$$rSyed Hyder Ali Muttaqi Shah$$rUlf Gräwe --$$tMorphodynamic Modelling in Marine Environments: Model Formulation and Solution Techniques /$$rH. M. Schuttelaars$$rT. J. Zitman --$$tWetting and Drying Procedures for Shallow Water Simulations /$$rSigrun Ortleb$$rJonathan Lambrechts$$rTuomas Kärnä.
001451604 5050_ $$aIntro -- Preface -- Contents -- Contributors -- 1 Basic Equations of Marine Flows -- 1.1 Mathematical Description of Fluids -- 1.1.1 Fluids as Continuous Media -- 1.1.2 Integral and Differential Formulations -- 1.1.3 Averaging of Turbulent Flows -- 1.2 Governing Equations -- 1.2.1 Volume Conservation -- 1.2.2 Salt Conservation -- 1.2.3 Heat Balance -- 1.2.4 Momentum Balance -- 1.2.5 Common Formulations and Closures -- 1.3 Summary -- References -- 2 Water Waves in Isotropic and Anisotropic Media: A comparison -- 2.1 Introduction -- 2.2 Gravity Waves
001451604 5058_ $$a2.2.1 Surface Gravity Waves in Homogeneous Fluids -- 2.2.2 Gravity Waves in Heterogeneous Media -- 2.3 Inertial Waves -- 2.3.1 Waves in Shear Flows -- 2.3.2 Waves in Rotating Basins -- 2.3.3 Three-dimensional Effects -- 2.4 Discussion -- 2.4.1 The Linear Shear Flow as `Problematic' Equilibrium -- 2.4.2 Waves in Anisotropic Media -- 2.4.3 Mixing Due to Wave Focusing and Mean Flows -- 2.5 Conclusion -- References -- 3 A Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling -- 3.1 Introduction -- 3.2 The Water Wave Problem -- 3.2.1 Dispersive Properties of the Linear Waves
001451604 5058_ $$a3.2.2 Scaling of Variables and Operators -- 3.2.3 Nondimensionalization of Equations -- 3.2.4 Green-Naghdi Equation -- 3.3 A Finite Element Discretization of the Green-Naghdi Equation -- 3.3.1 Notation -- 3.3.2 Functional Setting -- 3.3.3 Variational Formulation and Solution Procedure -- 3.4 Numerical Results -- 3.5 Conclusions -- References -- 4 Tides in Coastal Seas. Influence of Topography and Bottom Friction -- 4.1 Introduction -- 4.2 Model Formulation -- 4.3 Fundamental Wave Solutions -- 4.3.1 Derivation with Klein-Gordon Equation -- 4.3.2 Kelvin Wave -- 4.3.3 Poincaré Waves
001451604 5058_ $$a4.3.4 Wave Solutions with a Transverse Topographic Step -- 4.4 Amphidromic Patterns in Semi-enclosed Basins -- 4.4.1 Superposition of Two Kelvin Waves -- 4.4.2 Solution to Extended Taylor Problem -- 4.4.3 Application to Basins Around the World -- 4.5 Discussion -- 4.6 Conclusions -- References -- 5 Variational Water-Wave Modeling: From Deep Water to Beaches -- 5.1 Introduction -- 5.2 Derivation of Luke's Variational Principle -- 5.3 Transformed Luke's/Miles' Variational Principles with Wavemaker -- 5.3.1 FEM and Mesh Motion -- 5.3.2 Numerical Results: Comparison with Wave-Tank Experiments
001451604 5058_ $$a5.4 Coupling Water Waves to Shallow-Water Beach Hydraulics -- 5.4.1 Numerical Results: Damping of Waves on the Beach -- 5.5 Summary and Conclusions -- References -- 6 Quasi-2D Turbulence in Shallow Fluid Layers -- 6.1 Introduction -- 6.2 Two-Dimensional Turbulence -- 6.2.1 Inertial Ranges in 2D Turbulence -- 6.2.2 2D Turbulence: The Early Years -- 6.2.3 Coherent Structures and 2D Turbulence -- 6.3 2D Turbulence in Square, Rectangular and Circular Domains -- 6.3.1 Simulations of 2D Turbulence in Domains with No-Slip Walls -- 6.3.2 Quasi-Steady Final States: Laboratory Experiments
001451604 506__ $$aAccess limited to authorized users.
001451604 520__ $$aOver the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. Some modellers are insufficiently aware of the theoretical underpinning of the simulation tools they are using. On the other hand, a number of applied mathematicians tend to view marine sciences as a domain in which they would like to use the tools they have a good command of. Bridging the gap between model users and applied mathematicians is the main objective of the present book. In this respect a vast number of issues in which mathematics plays a crucial role will be addressed.
001451604 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 13, 2022).
001451604 650_0 $$aOceanography$$xMathematical models.
001451604 655_0 $$aElectronic books.
001451604 7001_ $$aSchuttelaars, Henk.
001451604 7001_ $$aHeemink, A. W.
001451604 7001_ $$aDeleersnijder, Eric.
001451604 77608 $$iPrint version:$$aSchuttelaars, Henk$$tThe Mathematics of Marine Modelling$$dCham : Springer International Publishing AG,c2023$$z9783031095580
001451604 830_0 $$aMathematics of planet Earth ;$$vv. 9.
001451604 852__ $$bebk
001451604 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-09559-7$$zOnline Access$$91397441.1
001451604 909CO $$ooai:library.usi.edu:1451604$$pGLOBAL_SET
001451604 980__ $$aBIB
001451604 980__ $$aEBOOK
001451604 982__ $$aEbook
001451604 983__ $$aOnline
001451604 994__ $$a92$$bISE