The development of an implicit full f method for electromagnetic particle simulations of Alfvén waves and energetic particle physics

Lu, Zhixin; Meng, G.; Hoelzl, M.; Lauber, Philipp

doi:10.1016/j.jcp.2021.110384

Cited by 16 publications

(18 citation statements)

References 29 publications

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“…The plasma β (the ratio of plasma pressure to magnetic pressure) and ρ i /L (the ratio between the ion gyroradius and the size of the device) are dimensionless parameters. For more details on this model we refer to [9,40] and the gyrokinetic literature in general. We note that although the structure of this equation is similar to the Vlasov-Poisson or Vlasov-Maxwell equations, there are important differences.…”

Section: Model Equationmentioning

confidence: 99%

“…This yields a set of PDEs to which we can then apply an appropriate numerical method. While we will here mainly use explicit integrators, for the equations considered implicit approaches can be interesting [40]. Using an implicit scheme, e.g., is very hard in the step-truncation approach.…”

Section: Dynamical Low-rank Algorithmmentioning

confidence: 99%

“…The expected physical behavior in the linear regime (see, e.g., [9,40]) is that the wave trades energy between the electric and magnetic field, while the amplitude of the field quantities decay in time. The energy lost from the fields is transferred to the kinetic energy of the plasma.…”

Section: Alfvén Wavesmentioning

confidence: 99%

See 2 more Smart Citations

A robust and conservative dynamical low-rank algorithm

Einkemmer

Ostermann

Scalone

2023

Journal of Computational Physics

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Section: Model Equationmentioning

confidence: 99%

Section: Dynamical Low-rank Algorithmmentioning

confidence: 99%

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A robust and conservative dynamical low-rank algorithm

Einkemmer

Ostermann

Scalone

2023

Journal of Computational Physics

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“…[39], for a comparison with respect to the single beta-induced AE non-linear dynamics [40]. The 1D model, as a powerful theoretical and numerical tool, has also been adopted to demonstrate the essence of the optimization of the implicit particle scheme in Tokamak geometry [41].…”

Section: Introductionmentioning

confidence: 99%

One dimensional reduced model for ITER relevant energetic particle transport

Carlevaro,

Meng,

Montani

et al. 2022

Preprint

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We set up a mapping procedure able to translate the evolution of the radial profile of fast ions, interacting with Toroidal Alfvén Eigenmodes, into the dynamics of an equivalent one dimensional bump-on-tail system. We apply this mapping technique to reproduce ITER relevant simulations, which clearly outlined deviations from the diffusive quasi-linear (QL) model. Our analysis demonstrates the capability of the one-dimensional beam-plasma dynamics to predict the relevant features of the non-linear hybrid LIGKA/HAGIS simulations. In particular, we clearly identify how the deviation from the QL evolutive profiles is due to the presence of avalanche processes. A detailed analysis regarding the reduced dimensionality is also addressed, by means of phase-space slicing based on constants of motion. In the conclusions, we outline the main criticalities and outcomes of the procedure, which must be satisfactorily addressed to make quantitative prediction on the observed outgoing fluxes in a Tokamak device.

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“…[44,45,46,47,48] in the 6-dimensional (6D) particle-in-cell context to enable a fully implicit particle-in-cell method for handling the v -formalism of electromagnetic gyrokinetics in the 5D particle-in-cell code XGC. Besides the work we document in this paper on XGC, we mention recent efforts in developing an implicit gyrokinetic electromagnetic scheme in the mixed particle-in-cell/particle-in-Fourier TRIMEG-GKX code for applications to energetic particle physics [49]. Implicit time discretization is effective for eliminating the stability issues originating from the inductive component of the electric field, and by using the v -formalism, we avoid the cancellation problem in Ampère's law.…”

Section: Introductionmentioning

confidence: 99%

Verification of a Fully Implicit Particle-in-Cell Method for the $v_\parallel$ Formalism of Electromagnetic Gyrokinetics in the XGC Code

Sturdevant,

Ku,

Chacón

et al. 2021

Preprint

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A fully implicit particle-in-cell method for handling the v -formalism of electromagnetic gyrokinetics has been implemented in XGC. By choosing the v formalism, we avoid introducing the non-physical skin terms in Ampère's law, which are responsible for the well-known "cancellation problem" in the p -formalism. The v -formalism, however, is known to suffer from a numerical instability when explicit time integration schemes are used due to the appearance of a time derivative in the particle equations of motion from the inductive component of the electric field. Here, using the conventional δf scheme, we demonstrate that our implicitly discretized algorithm can provide numerically stable simulation results with accurate dispersive properties. We verify the algorithm using a test case for shear Alfvén wave propagation in addition to a case demonstrating the ITG-KBM transition. The ITG-KBM transition case is compared to results obtained from other δf gyrokinetic codes/schemes, whose verification has already been archived in the literature.

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The development of an implicit full f method for electromagnetic particle simulations of Alfvén waves and energetic particle physics

Cited by 16 publications

References 29 publications

A robust and conservative dynamical low-rank algorithm

A robust and conservative dynamical low-rank algorithm

One dimensional reduced model for ITER relevant energetic particle transport

Verification of a Fully Implicit Particle-in-Cell Method for the $v_\parallel$ Formalism of Electromagnetic Gyrokinetics in the XGC Code

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