Gyrokinetic calculations of the neoclassical radial electric field in stellarator plasmas

Lewandowski, J. L. V.; Williams, John; Boozer, Allen H.; Zhang, Lin

doi:10.1063/1.1370363

Cited by 18 publications

(25 citation statements)

References 19 publications

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“…Due to the importance of the method, it was implemented in the Global Gyrokinetic Toroidal Code ͑GTC͒ to calculate the radial electric field in designs for the NCSX stellarator. 10 …”

Section: Introductionmentioning

confidence: 97%

δf method to calculate plasma transport and rotation damping

Williams

Boozer

2003

Physics of Plasmas

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In this paper, the case of rotation damping for plasmas that lack perfect symmetry is studied. Results from a δf Monte Carlo code are used to calculate the damping. The δf method has proven to greatly improve the efficiency of computing the distribution function for fusion plasmas compared to standard Monte Carlo techniques. A method is developed that improves upon the efficiency of the δf code by combining the results of the kinetic simulation with the single-fluid force-balance equation.

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“…Due to the importance of the method, it was implemented in the Global Gyrokinetic Toroidal Code ͑GTC͒ to calculate the radial electric field in designs for the NCSX stellarator. 10 …”

Section: Introductionmentioning

confidence: 97%

δf method to calculate plasma transport and rotation damping

Williams

Boozer

2003

Physics of Plasmas

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“…As mentioned in Ref. [16], putting filters on marker weights corresponds to the δ f simulations in which DKE is solved only in a thin layer around a flux-surface and remove markers that escape from the thin layer [15,24]. Then it should be carefully verified how much the filtering scheme screens the non-local effects on neoclassical transport from large-orbit particles, which we intend to study with the FORTEC-3D global transport simulation.…”

Section: Filtrationmentioning

confidence: 99%

“…The simulation code, FORTEC-3D [9][10][11], uses the δ f Monte Carlo method [12,13], which has been applied in some other transport codes both for tokamaks [14] and for helical configurations [15,16]. The features of FORTEC-3D are as follows: (1) It uses a conservedform linearized Fokker-Planck collision operator.…”

Section: Introductionmentioning

confidence: 99%

Development of a Non-Local Neoclassical Transport Code for Helical Configurations

Satake

Kanno

Sugama

2008

Plasma and Fusion Research

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The progress in a 3-dimensional, non-local neoclassical transport simulation code "FORTEC-3D" is described. The main purpose of the code is to solve the drift-kinetic equation in general a 3-dimensional configuration using the δ f Monte Carlo method, and to calculate neoclassical fluxes and the time evolution of the ambipolar radial electric field simultaneously. This article explains new numerical schemes adopted in FORTEC-3D in order to overcome numerical problems, which happen especially in the cases where the bifurcation of radial electric field occurs. Examples of test simulation for an LHD magnetic field configuration with a bifurcated electric field are also shown. With improved numerical schemes, FORTEC-3D can calculate neoclassical fluxes and trace the time evolution stably for several ion collision times, which is sufficiently long to observe GAM damping and formation of the ambipolar electric field.

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“…The NTV torque can be calculated with δf Monte Carlo method throughout calculating the anisotropic pressures and utilizing the spectrum of magnetic perturbations [17,18]. When expressing the non-axisymmetric magnetic perturbations with Fourier series as the NTV torque is calculated by following equation [17][18][19] …”

Section: Neoclassical Toroidal Viscositymentioning

confidence: 99%

“…When expressing the non-axisymmetric magnetic perturbations with Fourier series as the NTV torque is calculated by following equation [17][18][19] …”

Section: Neoclassical Toroidal Viscositymentioning

confidence: 99%

Delta f Monte Carlo Calculation Of Neoclassical Transport In Perturbed Tokamaks

Kim¹,

Park²,

Kramer³

et al. 2012

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Non-axisymmetric magnetic perturbations can fundamentally change neoclassical transport in tokamaks by distorting particle orbits on deformed or broken flux surfaces. This so-called nonambipolar transport is highly complex, and eventually a numerical simulation is required to achieve its precise description and understanding. A new δf particle code (POCA) has been developed for this purpose using a modified pitch angle collision operator preserving momentum conservation. POCA was successfully benchmarked for neoclassical transport and momentum conservation in axisymmetric configuration. Non-ambipolar particle flux is calculated in the non-axisymmetric case, and results show a clear resonant nature of non-ambipolar transport and magnetic braking. Neoclassical toroidal viscosity (NTV) torque is calculated using anisotropic pressures and magnetic field spectrum, and compared with the generalized NTV theory. Calculations indicate a clear δB 2 dependence of NTV, and good agreements with theory on NTV torque profiles and amplitudes depending on collisionality.

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Gyrokinetic calculations of the neoclassical radial electric field in stellarator plasmas

Cited by 18 publications

References 19 publications

δf method to calculate plasma transport and rotation damping

δf method to calculate plasma transport and rotation damping

Development of a Non-Local Neoclassical Transport Code for Helical Configurations

Delta f Monte Carlo Calculation Of Neoclassical Transport In Perturbed Tokamaks

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