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Image: D.D. Holm, T. Schmah & C. Stoica. Geometric Mechanics and Symmetry:

From Finite to Infinite DimensionsOxford University Press (2009).

Fourth AGM Meeting: Geometric Methods for Ocean Modelling

The fourth AGM meeting will be devoted to Geometric Methods for Ocean Modelling. The meeting will be articulated along two related themes. The first is the application of geometric methods to the problem of parameterisations of the impact of unresolved eddies and waves on currents. The second theme is the geometry of thermohaline transport in the ocean. The conceptual model of neutral transport, that is, transport restricted to a distribution of planes determined by the salinity and temperature structure, has recently been connected to a series of mathematics topics (Frobenius integrability and the Carathérodory–Chow–Rashevsky theorem, Reeb graphs, hypo-elliptic PDEs). The meeting will offer a first opportunity to bring these connections to the attention of the geometric mechanics community.

 

Topics expected to be discussed include:

 

(1) Geometric parameterisations of eddies and waves. Energetically consistent parameterizations. Lagrangian mean theories of wave–mean flow interactions; applications to surface gravity waves and internal waves. Numerical Lagrangian averaging.

 

(2) The geometry of neutral transport. Neutral transport and sub-Riemannian geometry. Neutral diffusion motion and its large-scale consequences. Construction and topology of approximately neutral surfaces.

 

The date of the meeting, timetable, participants, speakers, and further details will be posted here.

 

For any enquiries, please contact Hamid Alemi Ardakani.

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