Hamiltonian finite-dimensional models of baroclinic instability
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A hierarchy of N-dimensional systems is constructed starting from the standard continuous two-layer quasi-geostrophic model of the geophysical fluid dynamics. These models ("truncations") preserve the Hamiltonian structure of the parent model and tend to it in the limit N . The construction is based on the known correspondence SU(N) SDiff(T2) when N between the finite-dimensional group of unitary unimodular NxN matrices and the group of symplectic diffeomorphisms of the torus and the fact that the above-mentioned continuous model has an intrinsic geometric structure related to SDiff(T2) in the case of periodic boundary conditions. A fast symplectic solver for these truncations is proposed and used to study the baroclinic instability. 1997 Published by Elsevier Science B.V.
author list (cited authors)
McLachlan, R. I., Szunyogh, I., & Zeitlin, V.
complete list of authors
McLachlan, RI||Szunyogh, I||Zeitlin, V
Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics Journal