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

Perin, M.; Chandre, C.; Morrison, P. J.; Tassi, E.

doi:10.1063/1.4930097

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

Journal Article · Fri Sep 11 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4930097· OSTI ID:1229663

Perin, M. ^[1];

^[1]; Morrison, P. J. ^[2]; Tassi, E. ^[1]

Aix-Marseille Université, Université de Toulon, CNRS, CPT UMR 7332, 13288 Marseille, France
Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712-1060, USA

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Sponsoring Organization:: USDOE

Grant/Contract Number:: DEFG02-04ER54742

OSTI ID:: 1229663

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Vol. 22 Journal Issue: 9; ISSN 1070-664X

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (18)

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Gyrokinetic-water-bag modeling of low-frequency instabilities in a laboratory magnetized plasma column Gravier, E.; Klein, R.; Morel, P. Physics of Plasmas, Vol. 15, Issue 12 https://doi.org/10.1063/1.3036930	journal	December 2008
Poisson brackets for fluids and plasmas Morrison, Philip J. AIP Conference Proceedings Volume 88 https://doi.org/10.1063/1.33633	conference	January 1982
Higher-order Hamiltonian fluid reduction of Vlasov equation Perin, M.; Chandre, C.; Morrison, P. J. Annals of Physics, Vol. 348 https://doi.org/10.1016/j.aop.2014.05.011	journal	September 2014
Collisionless Boltzmann equations and integrable moment equations Gibbons, John Physica D: Nonlinear Phenomena, Vol. 3, Issue 3 https://doi.org/10.1016/0167-2789(81)90036-1	journal	August 1981
Hamiltonian closures for fluid models with four moments by dimensional analysis Perin, M.; Chandre, C.; Morrison, P. J. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 27 https://doi.org/10.1088/1751-8113/48/27/275501	journal	June 2015
Nonlinear Evolution of a Two-Stream Instability Roberts, K. V.; Berk, H. L. Physical Review Letters, Vol. 19, Issue 6 https://doi.org/10.1103/PhysRevLett.19.297	journal	August 1967
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions Chew, G. F.; Goldberger, M. L.; Low, F. E. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116	journal	July 1956
Kinetic water-bag model of global collisional drift waves and ion temperature gradient instabilities in cylindrical geometry Gravier, E.; Plaut, E. Physics of Plasmas, Vol. 20, Issue 4 https://doi.org/10.1063/1.4799814	journal	April 2013
The water bag model and gyrokinetic applications Morel, Pierre; Gravier, Etienne; Besse, Nicolas Communications in Nonlinear Science and Numerical Simulation, Vol. 13, Issue 1 https://doi.org/10.1016/j.cnsns.2007.03.016	journal	February 2008
The multi-water-bag equations for collisionless kinetic modeling Besse, Nicolas; Berthelin, Florent; Brenier, Yann Kinetic and Related Models, Vol. 2, Issue 1 https://doi.org/10.3934/krm.2009.2.39	journal	January 2009
Waterbag reductions of the dispersionless discrete KP hierarchy Yu, Lei Journal of Physics A: Mathematical and General, Vol. 33, Issue 45 https://doi.org/10.1088/0305-4470/33/45/309	journal	November 2000
Developments in the gyrofluid approach to Tokamak turbulence simulations Hammett, G. W.; Beer, M. A.; Dorland, W. Plasma Physics and Controlled Fusion, Vol. 35, Issue 8 https://doi.org/10.1088/0741-3335/35/8/006	journal	August 1993
Phase Space Hydrodynamics of Equivalent Nonlinear Systems: Experimental and Computational Observations Berk, H. L. Physics of Fluids, Vol. 13, Issue 4 https://doi.org/10.1063/1.1693039	journal	January 1970
On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets Chandre, C.; de Guillebon, L.; Back, A. Journal of Physics A: Mathematical and Theoretical, Vol. 46, Issue 12 https://doi.org/10.1088/1751-8113/46/12/125203	journal	March 2013
Reductions of Kinetic Equations to Finite Component Systems Chesnokov, A. A.; Pavlov, M. V. Acta Applicandae Mathematicae https://doi.org/10.1007/s10440-012-9749-4	journal	May 2012
Foundations of nonlinear gyrokinetic theory Brizard, A. J.; Hahm, T. S. Reviews of Modern Physics, Vol. 79, Issue 2 https://doi.org/10.1103/RevModPhys.79.421	journal	April 2007
Gyrokinetic modeling: A multi-water-bag approach Morel, P.; Gravier, E.; Besse, N. Physics of Plasmas, Vol. 14, Issue 11 https://doi.org/10.1063/1.2804079	journal	November 2007

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