1.

Record Nr.

UNISA996499866503316

Titolo

The mathematics of marine modelling : water, solute and particle dynamics in estuaries and shallow seas / / Henk Schuttelaars, Arnold Heemink, Eric Deleersnijder, editors

Pubbl/distr/stampa

Cham, Switzerland : , : Springer, , [2022]

©2022

ISBN

3-031-09559-6

Descrizione fisica

1 online resource (324 pages)

Collana

Mathematics of Planet Earth ; ; v.9

Disciplina

551.460015118

Soggetti

Oceanography - Mathematical models

Approximation theory

Mathematical analysis

Oceanografia

Models matemàtics

Teoria de l'aproximació

Anàlisi matemàtica

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Intro -- 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 -- 2.2.1 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 -- 3.2.2 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 -- 4.3.4 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 -- 5.4 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 -- 6.3.3 Forced 2D Turbulence on Confined Domains -- 6.4 Interaction of Vortices with Walls -- 6.4.1 No-Slip Walls as Vorticity Sources -- 6.4.2 Vorticity Production by Dipole-Wall Collisions -- 6.5 Review of 2D Turbulence Experiments in Shallow Fluids -- 6.5.1 Laboratory Experiments in Shallow Fluid Layers -- 6.5.2 2D Turbulence with Rayleigh Friction -- 6.5.3 Secondary Flows in Quasi-2D Turbulence in Thin Fluid Layers -- 6.5.4 Concluding Remarks -- 6.6 Summary -- References -- 7 Turbulent Dispersion -- 7.1 Introduction -- 7.2 Model Requirements -- 7.3 Model Development -- 7.4 Reduction to One Dimension with Boundaries -- 7.5 Application to Dispersion in Turbulent Jets -- 7.5.1 Turbulent Round Jet -- 7.5.2 Turbulent Planar Jet -- 7.6 Turbulent Flow along a Wall-The Logarithmic Velocity Profile.

7.7 Application to the Marine Ekman Layer -- 7.7.1 Surface Ekman Layer -- 7.7.2 Bottom Ekman Layer -- 7.8 Conclusions -- References -- 8 Spreading and Mixing in Near-Field River Plumes -- 8.1 Introduction -- 8.2 Dynamical Regions -- 8.3 A Simple Near-Field Plume Model -- 8.4 Complications to The Simple Plume Model -- 8.4.1 Local Mixing Parameterization -- 8.4.2 Plume Frontal Mixing -- 8.4.3 Rotation and Return to Geostrophy -- 8.5 Conclusions -- References -- 9 Lagrangian Modelling of Transport Phenomena Using Stochastic Differential Equations -- 9.1 Introduction -- 9.2 Stochastic Differential Equations -- 9.2.1 Introduction -- 9.2.2 Îto Stochastic Integrals -- 9.2.3 Îto Stochastic Differential Equations -- 9.2.4 Îto's Differentiation Rule -- 9.2.5 Stratonovich Stochastic Differential Equations -- 9.2.6 Fokker-Planck Equation -- 9.3 Particle Models for Marine Transport Problems -- 9.4 Numerical Approximation of Stochastic Differential



Equations -- 9.5 Test Cases for Marine Transport Problems -- 9.5.1 Simple Vertical Diffusion -- 9.5.2 One Dimensional Water Column Including a Pycnocline -- 9.5.3 Multidimensional Diffusion in an Unbounded Domain -- 9.6 Conclusion -- References -- 10 Morphodynamic Modelling in Marine Environments: Model Formulation and Solution Techniques -- 10.1 Introduction -- 10.2 Morphodynamic Modelling Approaches -- 10.3 Process-Based Models -- 10.3.1 Mathematical Formulation of Simulation Models -- 10.3.2 Mathematical Formulation of Exploratory Models -- 10.4 Solution Procedure -- 10.4.1 Initial Value Approach -- 10.4.2 Bifurcation Approach -- 10.5 Example: Morphodynamics of Tidal Inlet Systems -- 10.5.1 Introduction -- 10.5.2 Cross-Sectionally Averaged Morphodynamic Equilibria -- 10.5.3 Depth-Averaged Morphodynamic Equilibria -- 10.6 Summary and Conclusions -- References.

11 Wetting and Drying Procedures for Shallow Water Simulations -- 11.1 Introduction -- 11.2 Governing Equations -- 11.3 Space Discretization -- 11.3.1 Finite Volume Methods -- 11.3.2 Discontinuous Galerkin Schemes -- 11.4 Time Discretization -- 11.4.1 Explicit Time Integration -- 11.4.2 Implicit Time Integration -- 11.5 Concluding Remarks -- References -- Appendix  Index -- Index.



2.

Record Nr.

UNINA9910795903203321

Autore

Ross John D (John Douglas)

Titolo

Online professional development : design, deliver, succeed! / / John D. Ross

Pubbl/distr/stampa

Thousand Oaks, Calif. : , : Corwin, , 2011

ISBN

1-4522-6958-0

1-4522-6911-4

Descrizione fisica

1 online resource (xvii, 186 pages) : illustrations

Collana

Gale eBooks

Disciplina

371.14

Soggetti

Teachers - In-service training

Career development - Computer-assisted instruction

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

A Joint Publication with Learning Forward.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Cover""; ""Contents""; ""Preface""; ""Acknowledgments""; ""About the Author""; ""Chapter 1 - Why Online Professional Development?""; ""Chapter 2 - How Much Does It Cost?""; ""Chapter 3 - How Do I Get Started?""; ""Chapter 4 - What Does Good Online Learning Look Like?""; ""Chapter 5 - What Technologies Are Right for Me?""; ""Chapter 6 - Putting It All Together""; ""Chapter 7 - Did It Work?""; ""References""; ""Index""

Sommario/riassunto

Much-needed direction for navigating online professional development  Online professional development expert John D. Ross's practical framework will help you ask the right questions and make sound development and purchasing decisions. Based on proven principles of professional learning and instructional design, he guides you through charting your course to success and provides a path to answering these fundamental questions:     Why do I need OPD?    How much does it cost?    How do I get started?    What does high-quality online learning look like?    What technologies are right for me?    D