CLIM 715
Numerical Methods for Climate
Fall, 2008
Professor Paul Schopf
Text: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics, Dale R. Durran, Springer.
The goal of this course is to introduce graduate students in Climate Dynamics to all aspects of numerical modeling for climate studies. The course consists of a combination of lectures and projects designed to familiarize the student with the important numerical methods used in climate models and with the general nature of modeling as experimental science.
The course includes a modeling project chosen by the student to demonstrate the use of models in numerical experimentation. A modern climate, atmosphere or ocean model will be installed, configured and run to examine a carefully crafted experimental design. Evaluation of the project includes assessment of the experimental method, suitablilty of the model choice to the problem, execution of the experiments, and presentation of the results through a scientific paper or poster.
Class
Notes
Notes from lectures are available as .pdf files or Flash
Part 1 - Introduction and PDEs
Part 2 - The Finite Difference Method
- Finite Differences - Part 1 [pdf] [flash]
- Time Stepping [pdf] [flash]
- Time-Space Differencing [pdf] [flash]
- More Finite Differences [pdf][flash]
- Time Splitting [pdf][flash]
- Diffusion [pdf][flash]
- Equations with Variable Coefficients [pdf]
- Nonlinear Instability [pdf]
Part 3 - Spectral Methods
- The Spectral Method[pdf]
Part 4 - Finite Volume Methods
- Introduction to Finite Volumes[pdf]
- Flux Corrected and Flux Limited Transport [pdf]
- Multi-Dimensions and More [pdf]
|
||||
|