Lorentz Center

International center for scientific workshops

International center for scientific workshops

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from 2 Oct 2006 through 6 Oct 2006 |

Flows in the atmosphere and ocean
exhibit complex multi-scale dynamics that present a challenge both for
analytical and numerical methods. To a high degree of approximation, the large
scale flows of these systems can be considered inviscid,
and the underlying Hamiltonian structure of the equations can be exploited, for
example to develop simplified models that retain the structure of conservation
laws and symmetries of the full systems. The Hamiltonian approach in This workshop will provide a discussion
forum for scientists working on geometric (i.e. variational/Hamiltonian)
analytical At present, we are approaching a
conflux of these research areas, where one can begin to envision a new breed of
prediction tools, in which Hamiltonian-based large scale dynamics, with excellent
energy balance, correct reduced dynamics in asymptotic parameter regimes, and
superior statistical spectra, are coupled to advanced parameterization models
of meso-scale wave effects and micro-scale stochastic
turbulence.
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