Numerical Methods and the Adiabatic Formulation of Models

 

Click on the titles below to access pdf files of the lecture notes

 

"Adiabatic formulation of large-scale models of the atmosphere: Finite-difference schemes for the horizontal discretization" by A. J. Simmons
        1. Introduction
        2. Distribution of grid points
        3. Staggering of variables
        4. Conservation and Eulerian advection schemes
        5. Treatment of the poles
        References

"Adiabatic formulation of models" by Terry Davies
        1. Introduction
        2. Governing equations
        3. Horizontal discretization
        4. Vertical coordinates
        5. Vertical discretization
        References

"Atmospheric waves" by Martin Miller
        1. Introduction
        2. Basic equations
        3. Exact solutions of the linearized equations
        4. Simplified solutions to the linearized equations - filtering approximations
        5. Surface gravity waves
        6. Equatorial waves
        7. Summary diagram and modelling implications
        References
 

"Numerical methods" by R. W. Riddaway and M. Hortal
        1. Some introductory ideas
        2. Finite differences
        3. The non-linear advection equation
        4. Towards the primitive equations
        5. The semi-Lagrangian technique
        6. The spectral method
        7. The finite-element technique
        8. Solving the algebraic equations
        References
        

"Properties of the equations of motion" by Mike Cullen
        1. Introduction
        2. Observed behaviour
        3. Toy problems
        4. Shallow water equations
        5. Three dimensional equations
        6. Averaged equations
        7. Summary
        References

"The wave model" by Peter Janssen
        1. Derivation of the energy balance equation
        2. The WAM model
        3. Benefits for atmospheric modelling
        References