A fully non-linear multi-species Fokker–Planck–Landau collision operator for simulation of fusion plasma

Hager, Robert; Yoon, Eisung; Ku, S.; D'Azevedo, Eduardo F.; Worley, Patrick H; Chang, C. S.

doi:10.1016/j.jcp.2016.03.064

Cited by 84 publications

(80 citation statements)

References 18 publications

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“…35 In order to handle the orbit-loss hole and non-Maxwellian physics properly in the velocity space, a conserving and fully nonlinear Fokker-Planck collision operator is used. 36 Lost plasma particles are recycled as Monte Carlo neutral atoms in the divertor chamber, with charge exchange and ionization interactions with plasma.…”

Section: Introductionmentioning

confidence: 99%

A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1

et al. 2018

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Article:Ku, S., Chang, C. S., Hager, R. et al. (9 more authors) (2018) A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1. Physics of Plasmas. 056107. ISSN 1089-7674 https://doi.org/10.1063/1.5020792 eprints@whiterose.ac.uk https://eprints.whiterose.ac.uk/ Reuse Items deposited in White Rose Research Online are protected by copyright, with all rights reserved unless indicated otherwise. They may be downloaded and/or printed for private study, or other acts as permitted by national copyright laws. The publisher or other rights holders may allow further reproduction and re-use of the full text version. This is indicated by the licence information on the White Rose Research Online record for the item. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request.A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1 A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1 A fast edge turbulence suppression event has been simulated in the electrostatic version of the gyrokinetic particle-in-cell code XGC1 in a realistic diverted tokamak edge geometry under neutral particle recycling. The results show that the sequence of turbulent Reynolds stress followed by neoclassical ion orbit-loss driven together conspire to form the sustaining radial electric field shear and to quench turbulent transport just inside the last closed magnetic flux surface. The main suppression action is located in a thin radial layer around w N ' 0:96-0:98, where w N is the normalized poloidal flux, with the time scale $0:1ms.Published by AIP Publishing. https://doi

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Section: Introductionmentioning

confidence: 99%

A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1

et al. 2018

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“…Plasma lost to the material wall is replenished self-consistently by a neutral particle recycling module according to the local loss rates. Collisional physics are evaluated either by a fully nonlinear, Eulerian Fokker-Planck-Landau collision operator 34,35 (total-f ) or a linearized Monte-Carlo collision operator 36 (full-f ).…”

Section: Periodic Particle Resampling Of a Neo-classical Pic Simulationmentioning

confidence: 99%

Moment preserving constrained resampling with applications to particle-in-cell methods

Faghihi

Carey

Michoski

et al. 2020

Journal of Computational Physics

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In simulations of partial differential equations using particle-in-cell (PIC) methods, it is often advantageous to resample the particle distribution function to increase simulation accuracy, reduce compute cost, and/or avoid numerical instabilities. We introduce an algorithm for particle resampling called Moment Preserving Contrained Resampling (MPCR). The general algorithm partitions the system space into smaller subsets and is designed to conserve any number of particle and grid quantities with a high degree of accuracy (i.e. machine accuracy). The resampling scheme can be integrated into any PIC code. The advantages of MPCR, including performance, accuracy, and stability, are presented by examining several numerical tests, including a use-case study in gyrokinetic fusion plasma simulations. The tests demonstrate that while the computational cost of MPCR is negligible compared to the nascent particle evolution in PIC methods, periodic particle resampling yields a significant improvement in the accuracy and stability of the results.

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“…In the case of axially symmetric particle phase-space operator or, equivalently, in the zero-Larmor-radius limit of the gyrokinetic operator, conservative numerical methods have been developed for both the Landau and the potential formulations (see e.g. Hager et al (2016); Taitano et al (2015)). On the other hand, it has been explicitly shown in Burby et al (2015) that energetically consistent collisional gyrokinetics requires both the Vlasov and the collision operator to be treated equally at the same order with respect to the asymptotic gyrocentre transformation.…”

Section: Numerical Considerationsmentioning

confidence: 99%

Differential formulation of the gyrokinetic Landau operator

2017

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Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so called Landau representation, this paper investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase-space, reduction of the resulting system of partial differential equations to 5D via gyroaveraging poses a challenge. Based on the present work, it is likely that the gyrocentre analogs of the Rosenbluth-MacDonald-Judd potential functions must be kept gyroangle dependent.

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A fully non-linear multi-species Fokker–Planck–Landau collision operator for simulation of fusion plasma

Cited by 84 publications

References 18 publications

A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1

A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1

Moment preserving constrained resampling with applications to particle-in-cell methods

Differential formulation of the gyrokinetic Landau operator

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