Download PDF by Zygmunt Kowalik,T S Murty: Numerical Modeling of Ocean Dynamics: 5 (Advanced Series on

By Zygmunt Kowalik,T S Murty

ISBN-10: 9810213336

ISBN-13: 9789810213336

ISBN-10: 9810213344

ISBN-13: 9789810213343

While there are numerous very good books facing numerical research and analytical concept, one has to essentially sift via 1000s of references. This monograph is an try and in part rectify this case. It goals to introduce the applying of finite-difference the right way to ocean dynamics in addition to evaluate different complicated equipment. Systematically offered, the monograph first supplies a close account of the fundamentals after which move directly to talk about a number of the functions. Recognising the impossibility of masking the total box of ocean dynamics, the writers have selected to target shipping equations (diffusion and advection), shallow water phenomena — tides, hurricane surges and tsunamis, three-d time established oceanic movement, usual oscillations, and regular kingdom phenomena. the various facets coated by way of this booklet makes it an integral instruction manual and reference resource to either pros and scholars of this field.

Contents:

  • Formulation of the final Equations:
    • Equations of movement, Continuity and Diffusion
    • Two-Dimensional Equations
    • Application of the circulation Function
    • Viscosity within the Turbulent Flow
  • Transport Equations:
    • Mathematical Rudiments
    • Boundary and preliminary Conditions
    • Basic Numerical Properties
    • Explicit as opposed to Implicit Numerical Schemes
    • Centered Numerical Schemes
    • Computational blunders: Diffusion and Dispersion
    • Computational and actual Modes of the Numerical Solution
    • Diffusive Processes
    • Application of the better Order Computational Schemes to the Advective Equation
  • Two-Dimensional Numerical Models:
    • Basic Problems
    • Numerical answer of the method of Equations
    • Step via Step method of the development and research of easy Numerical Schemes
    • Two-Dimensional Models
    • Numerical Filtering
    • Grid Refinement
    • Simulation of lengthy Wave Run-Up
    • Finite-Differencing of the Time Derivative
    • Finite-Differencing of the distance Derivative
    • Treatment of Open Boundaries
    • Treatment of the Nonlinear Advective Terms
    • Moving Boundary types and Inclusion of Tidal Flats
    • Nested Grids and a number of Grids
    • Stretched Coordinates and remodeled Grid Systems
  • Three-Dimensional Time-Dependent Motion:
    • Introduction
    • Numerical Modeling of the Fjord Circulation
    • Three-Dimensional movement within the Shallow Seas
    • Three Dimensional Modeling using the Mode Splitting and Sigma Coordinate
    • General stream version — inflexible Lid Condition
    • A third-dimensional Semi-Implicit Model
    • A Two-Layer Model
    • Mode Splitting and diminished Gravity Model
    • Quasi-Geostrophic Models
    • Streamfunction Models
    • The Bidston Models
    • Haidvogel et al.'s Model
  • Normal Modes:
    • Introduction
    • Seiches
    • The general Mode Approach
    • Solutions for Lakes and Bays with Uniform and Variable Depth
    • Systems with Branches
    • Resonance Calculation for Irregular-Shaped Basins
    • Secondary Undulations
    • Helmholtz Mode
    • Open Boundary Conditions
    • Numerical versions for Resonance Calculations
    • Kelvin Waves, Sverdrup Waves and Poincaré Waves
    • Influence of Ice hide on general Modes
  • Steady nation Processes:
    • Oceanographic Examples
    • Numerical Approximation
    • Boundary Conditions
    • Numerical Methods
    • Direct Methods
    • Higher Order Accuracy Schemes for Convection-Dominated Flow
  • Appendix 1
  • References
  • Subject Index

Readership: Oceanographers, coastal engineers and surroundings scientists.

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Numerical Modeling of Ocean Dynamics: 5 (Advanced Series on Ocean Engineering) by Zygmunt Kowalik,T S Murty


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