Fluid Moments in the Reduced Model for Plasmas with Large Flow Velocity

Miyato, N.; Scott, B.

doi:10.1585/pfr.6.1403147

Cited by 9 publications

(10 citation statements)

References 37 publications

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“…Γ i R, v , µ, t = Γ i R, v , µ, t . This formulation, known as the Hamiltonian representation (Brizard & Hahm 2007;Miyato & Scott 2011), imposes that the symplectic components of Γ vanish at all ǫ n δ orders with n 1, while the gyrophase independence of Γ requires that ∂ θ H = 0. The Hamiltonian formulation has the advantage that the guiding-center Jacobian, B * /m, is free from small-scale electromagnetic fluctuations, such that it preserves its guiding-center functional form, i.e.…”

Section: Gyrocenter Transformationmentioning

confidence: 99%

A gyrokinetic model for the plasma periphery of tokamak devices

2020

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A gyrokinetic model is presented that can properly describe strong flows, large and small amplitude electromagnetic fluctuations occurring on scale lengths ranging from the electron Larmor radius to the equilibrium perpendicular pressure gradient scale length, and large deviations from thermal equilibrium. The formulation of the gyrokinetic model is based on a second order description of the single charged particle dynamics, derived from Lie perturbation theory, where the fast particle gyromotion is decoupled from the slow drifts, assuming that the ratio of the ion sound Larmor radius to the perpendicular equilibrium pressure scale length is small. The collective behavior of the plasma is obtained by a gyrokinetic Boltzmann equation that describes the evolution of the gyroaveraged distribution function and includes a non-linear gyrokinetic Dougherty collision operator. The gyrokinetic model is then developed into a set of coupled fluid equations referred to as the gyrokinetic moment hierarchy. To obtain this hierarchy, the gyroaveraged distribution function is expanded onto a velocity-space Hermite-Laguerre polynomial basis and the gyrokinetic equation is projected onto the same basis, obtaining the spatial and temporal evolution of the Hermite-Laguerre expansion coefficients. The Hermite-Laguerre projection is performed accurately at arbitrary perpendicular wavenumber values. Finally, the self-consistent evolution of the electromagnetic fields is described by a set of gyrokinetic Maxwell's equations derived from a variational principle, with the velocity integrals of the gyroaveraged distribution function explicitly evaluated. †

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Section: Gyrocenter Transformationmentioning

confidence: 99%

A gyrokinetic model for the plasma periphery of tokamak devices

2020

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“…A reduced kinetic model for flowing plasmas, which is valid for v E ∼ v th , was constructed in Ref. [8]. Its 1-form is given by…”

Section: Previous Extended Modelsmentioning

confidence: 99%

“…Moreover, a strong radial electric field which is not taken into account in the standard model is observed after the transition to the H-mode. Hence, several reduced kinetic models beyond the standard gyrokinetic ordering have been proposed for edge plasmas [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Gyrokinetic Model beyond the Standard Ordering

Miyato

2016

Contrib. Plasma Phys.

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An energy-conserving reduced kinetic model is formulated which is valid for perturbations with large amplitude and long wavelength beyond the standard gyrokinetic ordering. The standard gyrokinetic model is elegantly formulated by the two-step phase space transformation consisting of the guiding-center and gyro-center transformations, but the amplitude of perturbations is assumed to be small in return for use of the two-step transformation. Besides, the wavelength of perturbations is assumed to be short in deriving the gyrokinetic Poisson equation. Both limitations are relaxed by using the modified guiding-center 1-form for flowing plasmas [Miyato et al.,

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“…The usual gyroradius vector is given by ρ = −G X 1 . The explicit representation of ρ B is found in [4,5,11]. Considering ρ B in T −1 GC x, we may expand the potentials as…”

Section: Gyrokinetic Hamiltonianmentioning

confidence: 99%

A high-order electromagnetic gyrokinetic model

Miyato¹

2013

Preprint

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A high-order extension is presented for the electromagnetic gyrokinetic formulation in which the parallel canonical momentum is taken as one of phase space coordinates. The high-order displacement vector associated with the guiding-center transformation should be considered in the long wavelength regime. This yields addtional terms in the gyrokinetic Hamiltonian which lead to modifications to the gyrokinetic Poisson and Ampère equations. In addition, the high-order piece of the guiding-center transformation for the parallel canonical momentum should be also kept in the electromagnetic model. The high-order piece contains the Baños drift effect and further modifies the gyrokinetic Ampère equation.

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Fluid Moments in the Reduced Model for Plasmas with Large Flow Velocity

Cited by 9 publications

References 37 publications

A gyrokinetic model for the plasma periphery of tokamak devices

A gyrokinetic model for the plasma periphery of tokamak devices

Gyrokinetic Model beyond the Standard Ordering

A high-order electromagnetic gyrokinetic model

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