Hamiltonian finite-dimensional models of baroclinic instability Academic Article

abstract

• 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.

authors

• Szunyogh, Istvan

published proceedings

• PHYSICS LETTERS A

author list (cited authors)

• McLachlan, R. I., Szunyogh, I., & Zeitlin, V.

citation count

• 7

complete list of authors

• McLachlan, RI||Szunyogh, I||Zeitlin, V

publication date

• May 1997

publisher

• Elsevier  Publisher

published in

• Physics Letters, Section A: General, Atomic and Solid State Physics  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics

Digital Object Identifier (DOI)

• 10.1016/S0375-9601(97)00207-7

start page

• 299

end page

• 305

volume

• 229

issue

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fs0375-9601%2897%2900207-7