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Statistical mechanics of a Hamiltonian particle-mesh method for incompressible flow over topography

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Dubinkina, Svetlana [UCL] Frank, Jason [CWI, the Netherlands]

A Hamiltonian particle-mesh method for quasi-geostrophic potential vorticity flow is proposed. The microscopic vorticity field at any time is an area- and energy-conserving rearrangement of the initial field. We construct a statistical mechanics theory to explain the long-time behavior of the numerical solution. The statistical theory correctly predicts the spatial distribution of particles as a function of their point vorticity. A nonlinear relation between the coarse grained mean stream function and mean vorticity fields is predicted, consistent with the preservation of higher moments of potential vorticity reported in [R. V. Abramov, A. J. Majda 2003, PNAS 100 3841–3846].

Document type Communication à un colloque (Conference Paper) – Poster
Publication date 2008
Language Anglais
Conference "Thirty-third Woudschoten Conference of the Dutch and Flemish Numerical Analysis Communities", Zeist, the Netherlands (du 08/10/2008 au 10/10/2008)
Links
Bibliographic reference Dubinkina, Svetlana ; Frank, Jason. Statistical mechanics of a Hamiltonian particle-mesh method for incompressible flow over topography.Thirty-third Woudschoten Conference of the Dutch and Flemish Numerical Analysis Communities (Zeist, the Netherlands, du 08/10/2008 au 10/10/2008).
Permanent URL http://hdl.handle.net/2078/118802