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On the Hamiltonian formulation of the quasi‐hydrostatic equations
Author(s) -
Roulstone I.,
Brice S. J.
Publication year - 1995
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49712152410
Subject(s) - poisson bracket , hydrostatic equilibrium , hamiltonian (control theory) , bracket , euler equations , mathematics , noether's theorem , classical mechanics , euler's formula , mathematical analysis , physics , mathematical physics , lagrangian , pure mathematics , mathematical optimization , quantum mechanics , mechanical engineering , lie algebra , engineering
A variational approach to the Euler‐Lagrange equations for the quasi‐hydrostatic model is presented together with an explicit Hamiltonian (Poisson bracket) formulation. the bracket acts on functionals of the zonal and meridional angular momentum. Features of the relationships between the Hamiltonian formulations of the equations for an ideal fluid, the hydrostatic primitive equations and the quasi‐hydrostatic equations are discussed.