Numerical methods and the adiabatic formulation of models

"Adiabatic formulation of large-scale models of the atmosphere: Finite-difference schemes for the horizontal discretization" April 1994 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

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

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"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

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"Numerical methods". March 2001 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

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"Properties of the equations of motion". January 2001 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

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"The wave model". May 1995 by Peter Janssen >>
        1. Derivation of the energy balance equation
        2. The WAM model
        3. Benefits for atmospheric modelling
        References

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