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  • © 2019

Atmospheres and Oceans on Computers

Fundamental Numerical Methods for Geophysical Fluid Dynamics

Authors:

  • Course-based, self-contained and concise primer on the subject matter
  • Contains end-of chapter problems
  • Offers an appendix on programming in the most popular programming language in the field (FORTRAN) and related exercices

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xx
  2. Governing Equations and Approximations

    • Lars Petter Røed
    Pages 1-12
  3. Preliminaries

    • Lars Petter Røed
    Pages 13-34
  4. Time Marching Problems

    • Lars Petter Røed
    Pages 35-44
  5. Diffusion Problem

    • Lars Petter Røed
    Pages 45-73
  6. Advection Problem

    • Lars Petter Røed
    Pages 75-114
  7. Shallow Water Problem

    • Lars Petter Røed
    Pages 115-158
  8. Open Boundary Conditions and Nesting Techniques

    • Lars Petter Røed
    Pages 159-182
  9. Generalized Vertical Coordinates

    • Lars Petter Røed
    Pages 183-191
  10. Two-Dimensional Problems

    • Lars Petter Røed
    Pages 193-207
  11. Advanced Topics

    • Lars Petter Røed
    Pages 209-234
  12. Quality Assurance Procedures

    • Lars Petter Røed
    Pages 235-246
  13. Back Matter

    Pages 247-275

About this book

This textbook introduces step by step the basic numerical methods to solve the equations governing the motion of the atmosphere and ocean, and describes how to develop a set of corresponding instructions for the computer as part of a code. Today's computers are powerful enough to allow 7-day forecasts within hours, and modern teaching of the subject requires a combination of theoretical and computational approaches.

The presentation is aimed at beginning graduate students intending to become forecasters or researchers, that is, users of existing models or model developers. However, model developers must be well versed in the underlying physics as well as in numerical methods. Thus, while some of the topics discussed in the modeling of the atmosphere and ocean are more advanced, the book ensures that the gap between those scientists who analyze results from model simulations and observations and those who work with the inner works of the model does not widen further.

In this spirit, the course presents methods whereby important balance equations in oceanography and meteorology, namely the advection-diffusion equation and the shallow water equations on a rotating Earth, can be solved by numerical means with little prior knowledge. The numerical focus is on the finite-difference (FD) methods, and although more powerful methods exist, the simplicity of FD makes it ideal as a pedagogical introduction to the subject.  The book also includes suitable exercises and computer problems.

Authors and Affiliations

  • Department of Geosciences, University of Oslo, Oslo, Norway and, Norwegian Meteorological Institute, Oslo, Norway

    Lars Petter Røed

About the author

Lars Petter Røed is a Professor Emeritus at the Department of Geosciences of the University of Oslo. Since 1994 he is also a Senior Scientist at the Norwegian Meteorological Institute. His research interests include physical oceanography and numerical modeling, climate change, numerical ocean weather prediction, mesoscale ocean circulation and the role of eddies in the heat transport of the world oceans. He has been teaching scientific computing in his field of expertise for many years.

 

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access