Hamiltonian formulation of the baroclinic quasigeostrophic fluid equations

Journal Article · Wed Jan 01 04:00:00 EST 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865956· OSTI ID:6327528

Holm, D D

A Hamiltonian formulation using a noncanonical Poisson bracket is presented for the nonlinear dynamics of baroclinic quasigeostrophic fluid flow. Nonlinear integral invariants for the system are found to be in the kernel of the noncanonical Poisson bracket. A novel feature of this formulation is that dynamical boundary conditions are generated from the constrained energy Hamiltonian, via the noncanonical Poisson bracket.

• Research Organization: Center for Nonlinear Studies, Theoretical Division, B 284, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6327528
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:1; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DYNAMICS
EARTH ATMOSPHERE
EQUATIONS
FLUID FLOW
HAMILTONIANS
MATHEMATICAL OPERATORS
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
QUANTUM OPERATORS
SEAS
STRATIFICATION
SURFACE WATERS