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Hamiltonian restriction of Vlasov equations to rotating isopycnic and isentropic two-layer equations

Bokhove, O.

Applied mathematics letters, 2005-12, Vol.18 (12), p.1418-1425 [Periódico revisado por pares]

Oxford: Elsevier Ltd

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Título:
Hamiltonian restriction of Vlasov equations to rotating isopycnic and isentropic two-layer equations
Autor: Bokhove, O.
Assuntos: Exact sciences and technology ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Hamiltonian formulation ; Mathematical analysis ; Mathematics ; Numerical analysis ; Numerical analysis. Scientific computation ; Partial differential equations ; Partial differential equations, initial value problems and time-dependant initial-boundary value problems ; Physics ; Rotating two-layer equations ; Rotational flow and vorticity ; Sciences and techniques of general use ; Vlasov equations
É parte de: Applied mathematics letters, 2005-12, Vol.18 (12), p.1418-1425
Descrição: A direct link between a Vlasov equation and the equations of motion of a rotating fluid with an effective pressure depending only on a pseudo-density is illustrated. In this direct link, the resulting fluid equations necessarily appear in flux conservative form when there are no topographical and rotational terms. In contrast, multilayer isopycnic and isentropic equations used in atmosphere and ocean dynamics, in the absence of topographical and rotational terms, cannot be brought into a conservative flux form, and, hence, cannot be derived directly from the Vlasov equations. Another route is explored, therefore: deriving the Hamiltonian formulation of the two-layer isopycnic and isentropic equations as a restriction from a Hamiltonian formulation of two decoupled Vlasov equations. The work is motivated by our search for energy-preserving or even Hamiltonian (kinetic) numerical schemes.
Editor: Oxford: Elsevier Ltd
Idioma: Inglês

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Hamiltonian restriction of Vlasov equations to rotating isopycnic and isentropic two-layer equations

Bokhove, O.

Oxford: Elsevier Ltd

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