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Article Dans Une Revue Physics of Plasmas Année : 2015

Hamiltonian fluid closures of the Vlasov-Ampère equations: from water-bags to N moment models

Résumé

Moment closures of the Vlasov-Ampère system, whereby higher moments are represented as functions of lower moments with the constraint that the resulting fluid system remains Hamiltonian, are investigated by using water-bag theory. The link between the water-bag formalism and fluid models that involve density, fluid velocity, pressure and higher moments is established by introducing suitable thermodynamic variables. The cases of one, two and three water-bags are treated and their Hamiltonian structures are provided. In each case, we give the associated fluid closures and we discuss their Casimir invariants. We show how the method can be extended to an arbitrary number of fields, i.e., an arbitrary number of water-bags and associated moments. The thermodynamic interpretation of the resulting models is discussed. Finally, a general procedure to derive Hamiltonian N-field fluid models is proposed.
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Dates et versions

hal-01170349 , version 1 (01-07-2015)

Identifiants

Citer

M Perin, Cristel Chandre, P.J. Morrison, E Tassi. Hamiltonian fluid closures of the Vlasov-Ampère equations: from water-bags to N moment models. Physics of Plasmas, 2015, 22, pp.092309. ⟨hal-01170349⟩
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