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The one week seminar in 2004 was on Developments in Numerical Methods
for Atmospheric and Ocean Modelling.
The Seminar presented a pedagogical review of recent developments in
numerical methods for atmospheric and ocean modelling. Topics covered
included the choice of the basic dynamical equations and coordinate systems
for different applications, and the virtues of various horizontal and
vertical discretizations in the context of a range of resolutions. The
choice of time-integration schemes and questions of accuracy and conservation
were addressed as well as issues of efficiency on different computer architectures.
The balance between accuracy and discretization is an important issue
in ocean wave modelling. As the power of computers becomes greater and
greater, the resolution of even global models is reaching the point where
non-hydrostatic effects have to be taken into account and efficient algorithms
to avoid instabilities in fast-travelling waves become of crucial importance.
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