Numerical investigation of a compressible gyrofluid model for collisionless magnetic reconnection

Comisso, Luca; Grasso, D.; Tassi, Emanuele; Waelbroeck, F. L.

doi:10.1063/1.3697860

Cited by 24 publications

(53 citation statements)

References 51 publications

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“…The utility of the adopted models, on the other hand, lies also in their relative simplicity, which makes them amenable to an analytical treatment and permits to extract leading order information about plasma phenomena. For instance, fluid models such as those derived in this manuscript, have been used to investigate main basic features of collisionless magnetic reconnection [32,33,34].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

Tassi

2015

Annals of Physics

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International audienceWe present an infinite family of Hamiltonian electromagnetic fluid models for plasmas, derived from drift-kinetic equations. An infinite hierarchy of fluid equations is obtained from a Hamiltonian drift-kinetic systems by taking moments of a generalized distribution function and using Hermite polynomials as weight functions of the velocity coordinate along the magnetic guide field. Each fluid model is then obtained by truncating the hierarchy to a finite number N + 1 of equations by means of a closure relation. We show that, for any positive N , a linear closure relation between the moment of order N + 1 and the moment of order N guarantees that the resulting fluid model possesses a Hamiltonian structure, thus respecting the Hamiltonian character of the parent drift-kinetic model. An orthogonal transformation is identified which maps the fluid moments to a new set of dynamical variables in terms of which the Poisson brackets of the fluid models become a direct sum and which unveils remarkable dynamical properties of the models in the tw

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Section: Introductionmentioning

confidence: 99%

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

Tassi

2015

Annals of Physics

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“…Magnetic reconnection in the magnetized plasma has been extensively studied by means of fluid models. [2][3][4][5][6][7][8][9] The fluid simulations of a current-driven instability revealed that the magnetic reconnection caused by electron inertia effects is accelerated by the gradient of perturbed electron pressure around the reconnection point. 2 However, plasmas in hightemperature magnetic fusion experiments and in solar corona are almost collisionless.…”

Section: Introductionmentioning

confidence: 99%

Reversible collisionless magnetic reconnection

Ishizawa

Watanabe

2013

Physics of Plasmas

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Reversible magnetic reconnection is demonstrated for the first time by means of gyrokinetic numerical simulations of a collisionless magnetized plasma. Growth of a current-driven instability in a sheared magnetic field is accompanied by magnetic reconnection due to electron inertia effects. Following the instability growth, the collisionless reconnection is accelerated with development of a cross-shaped structure of current density, and then all field lines are reconnected. The fully reconnected state is followed by the secondary reconnection resulting in a weakly turbulent state. A time-reversed simulation starting from the turbulent state manifests that the collisionless reconnection process proceeds inversely leading to the initial state. During the reversed reconnection, the kinetic energy is reconverted into the original magnetic field energy. In order to understand the stability of reversed process, an external perturbation is added to the fully reconnected state, and it is found that the accelerated reconnection is reversible when the deviation of the E Â B streamlines due to the perturbation is comparable with or smaller than a current layer width. V C 2013 AIP Publishing LLC. [http://dx

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“…(150)- (151), the contour lines of the normal fields G ± will not be allowed to reconnect during the evolution of the system. This argument was used in a number of numerical investigations [91,92,[95][96][97][98] of magnetic reconnection, to explain the formation of small scale structures and the saturation of magnetic islands in a dissipationless process.…”

Section: Isothermal Two-field Model With Electron Inertiamentioning

confidence: 99%

Hamiltonian closures in fluid models for plasmas

Tassi

2017

Eur. Phys. J. D

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This article reviews recent activity on the Hamiltonian formulation of fluid models for plasmas in the non-dissipative limit, with emphasis on the relations between the fluid closures adopted for the different models and the Hamiltonian structures. The review focuses on results obtained during the last decade, but a few classical results are also described, in order to illustrate connections with the most recent developments. With the hope of making the review accessible not only to specialists in the field, an introduction to the mathematical tools applied in the Hamiltonian formalism for continuum models is provided. Subsequently, we review the Hamiltonian formulation of models based on the magnetohydrodynamics description, including those based on the adiabatic and double adiabatic closure. It is shown how Dirac's theory of constrained Hamiltonian systems can be applied to impose the incompressibility closure on a magnetohydrodynamic model and how an extended version of barotropic magnetohydrodynamics, accounting for two-fluid effects, is amenable to a Hamiltonian formulation. Hamiltonian reduced fluid models, valid in the presence of a strong magnetic field, are also reviewed. In particular, reduced magnetohydrodynamics and models assuming cold ions and different closures for the electron fluid are discussed. Hamiltonian models relaxing the cold-ion assumption are then introduced. These include models where finite Larmor radius effects are added by means of the gyromap technique, and gyrofluid models.Numerical simulations of Hamiltonian reduced fluid models investigating the phenomenon of magnetic reconnection are illustrated. The last part of the review concerns recent results based on the derivation of closures preserving a Hamiltonian structure, based on the Hamiltonian structure of parent kinetic models. Identification of such closures for fluid models derived from kinetic systems based on the Vlasov and drift-kinetic equations are presented, and connections with previously discussed fluid models are pointed out.

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Numerical investigation of a compressible gyrofluid model for collisionless magnetic reconnection

Cited by 24 publications

References 51 publications

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

Reversible collisionless magnetic reconnection

Hamiltonian closures in fluid models for plasmas

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