Location: Mathematical Computation Laboratory (Opp. Room 30)

First Lecture: 9:00 a.m., Wednesday, 7th January, 2004.

Peter Lynch

Met Éireann, Glasnevin Hill, Dublin 9.

- To introduce the fundamental dynamical concepts governing the behaviour of the atmosphere and oceans
- To derive a set of simple equations,
the
*shallow water equations*, whose solutions encapsulate the essential features of large scale atmospheric and oceanic motion systems - To examine the linear solutions of the shallow water equations, and to relate them to observed geophysical phenomena
- To reduce the equations to a single principle, the conservation of potential vorticity, expressed as a PDE
- To investigate methods of solving the nonlinear equations by numerical means
- To introduce the rudiments of Numerical Weather Prediction (NWP)
- To investigate a number of specific processes (Geostrophic adjustment, Baroclinic Instability, Ekman Spiral, etc.) important in atmospheric dynamics.

- The
**Screen Version**contains the slides as presented, one per page, with build-ups.

This is suitable for viewing on screen, but not for printing. - The
**Print Version**contains the slides four per page.

- Lecture 1: Introduction to NWP.
Screen Version .
Print Version - Lecture 2: The Continuity Equation.
Screen Version .
Print Version - Lecture 3: The Equations of Motion.
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Print Version - Lecture 4: The Shallow Water Equations.
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Print Version - Lecture 5: Steady Vortical Flows.
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Print Version - Lecture 6: Vorticity and Divergence.
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Print Version - Lecture 7: Potential Vorticity.
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Print Version - Lecture 8: Linear Wave Solutions.
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Print Version - Lecture 9: Mixed Rossby and Gravity Waves.
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Print Version - Lecture 10: Rossby Wave Packets.
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Print Version - Lecture 11: Numerical Methods for Time Integration.
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Print Version - Lecture 12: Semi-Lagrangian Advection Schemes.
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Print Version

Holton, J R, 1992: An Introduction to Dynamic Meteorology. Third Edition, Academic Press, 511 pp.

Kalnay, Eugenia, 2002: Atmospheric Modeling, Data Assimilation and Predictability. Cambridge University Press, 364pp.

Pedlosky, J, 1987: Geophysical Fluid Dynamics. Second Edition, Springer-Verlag, 710pp.

Haltiner, G J and T Williams, 1980: Numerical Prediction and Dynamic Meteorology. Second Edition, John Wiley and Sons, 477pp.