Kinetic microtearing modes and reconnecting modes in strongly magnetised slab plasmas

Zocco, A.; Loureiro, Nuno; Dickinson, David; Numata, Ryusuke; Roach, C. M.

doi:10.1088/0741-3335/57/6/065008

Cited by 35 publications

(66 citation statements)

References 62 publications

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“…As a consequence of Eq. (5.38), the accuracy of FLR effects in our description is directly related to the Laguerre resolution (Zocco et al 2015;Mandell et al 2018). We now apply the gradient operator ∇ to Eq.…”

Section: Hermite-laguerre Representation Of Gyroaverage Operatormentioning

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: Hermite-laguerre Representation Of Gyroaverage Operatormentioning

confidence: 99%

A gyrokinetic model for the plasma periphery of tokamak devices

2020

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“…It is worth pointing out, furthermore, that the advantages of the Hermite representation transcend the numerical aspects, as it often enables one to make analytical headway in problems that are otherwise too complex: see, e.g., Refs. [21,44,35,45].…”

Section: Hermite Expansionmentioning

confidence: 99%

“…The numerical discretisation of equations (35)(36)(37)(38) is the straightforward generalisation of that derived in [30] 4 . For presentational simplicity, let us denote the nonlinear terms (i.e., the Poisson brackets) in equations (35)(36)(37)(38) by generalised operators, such that we have 5 :…”

Section: Perpendicular Directionmentioning

confidence: 99%

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Viriato : A Fourier–Hermite spectral code for strongly magnetized fluid–kinetic plasma dynamics

Loureiro

Dorland

Fazendeiro

et al. 2016

Computer Physics Communications

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We report on the algorithms and numerical methods used in Viriato, a novel fluid-kinetic code that solves two distinct sets of equations: (i) the Kinetic Reduced Electron Heating Model (KREHM) equations [Zocco & Schekochihin, Phys. Plasmas 18, 102309 (2011)] (which reduce to the standard Reduced-MHD equations in the appropriate limit) and (ii) the kinetic reduced MHD (KRMHD) equations [Schekochihin et al., Astrophys. J. Suppl. 182:310 (2009)]. Two main applications of these equations are magnetised (Alfvénic) plasma turbulence and magnetic reconnection. Viriato uses operator splitting (Strang or Godunov) to separate the dynamics parallel and perpendicular to the ambient magnetic field (assumed strong). Along the magnetic field, Viriato allows for either a second-order accurate MacCormack method or, for higher accuracy, a spectral-like scheme composed of the combination of a total variation diminishing (TVD) third order Runge-Kutta method for the time derivative with a 7th order upwind scheme for the fluxes. Perpendicular to the field Viriato is pseudo-spectral, and the time integration is performed by means of an iterative predictor-corrector scheme. In addition, a distinctive feature of Viriato is its spectral representation of the parallel velocity-space dependence, achieved by means of a Hermite representation of the perturbed distribution function. A series of linear and nonlinear benchmarks and tests are presented, including a detailed analysis of 2D and 3D Orszag-Tang-type decaying turbulence, both in fluid and kinetic regimes.

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“…AstroGK [41] is based on the magnetic confinement fusion code GS2 [42,43] but is optimized to treat plasmas with a straight, homogeneous mean magnetic field. Electrostatic simulations with AstroGK have been used to study the entropy cascade in phase space [44,45,46,47], and electromagnetic simulations have been used to study magnetic reconnection [48,49,50,51] in addition to the research on solar wind turbulence (reference listed above). To implement our hybrid model, we have modified the AstroGK algorithm to solve the ITEF equations coupled to the GKI-Maxwell's system of equations.…”

Section: Introductionmentioning

confidence: 99%

A hybrid gyrokinetic ion and isothermal electron fluid code for astrophysical plasma

Kawazura

Barnes

2018

Journal of Computational Physics

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This paper describes a new code for simulating astrophysical plasmas that solves a hybrid model composed of gyrokinetic ions (GKI) and an isothermal electron fluid (ITEF) [A. Schekochihin et al., Astrophys. J. Suppl. 182, 310 (2009)]. This model captures ion kinetic effects that are important near the ion gyro-radius scale while electron kinetic effects are ordered out by an electron-ion mass ratio expansion. The code is developed by incorporating the ITEF approximation into AstroGK, an Eulerian δ f gyrokinetics code specialized to a slab geometry [R. Numata et al., J. Comput. Phys. 229, 9347 (2010)]. The new code treats the linear terms in the ITEF equations implicitly while the nonlinear terms are treated explicitly. We show linear and nonlinear benchmark tests to prove the validity and applicability of the simulation code. Since the fast electron timescale is eliminated by the mass ratio expansion, the Courant-Friedrichs-Lewy condition is much less restrictive than in full gyrokinetic codes; the present hybrid code runs ∼ 2 √ m i /m e ∼ 100 times faster than AstroGK with a single ion species and kinetic electrons where m i /m e is the ion-electron mass ratio. The improvement of the computational time makes it feasible to execute ion scale gyrokinetic simulations with a high velocity space resolution and to run multiple simulations to determine the dependence of turbulent dynamics on parameters such as electron-ion temperature ratio and plasma beta.

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Kinetic microtearing modes and reconnecting modes in strongly magnetised slab plasmas

Cited by 35 publications

References 62 publications

A gyrokinetic model for the plasma periphery of tokamak devices

A gyrokinetic model for the plasma periphery of tokamak devices

Viriato : A Fourier–Hermite spectral code for strongly magnetized fluid–kinetic plasma dynamics

A hybrid gyrokinetic ion and isothermal electron fluid code for astrophysical plasma

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