Hamiltonian finite-dimensional models of baroclinic instability Academic Article uri icon

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.

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