EUTERPE: A global gyrokinetic code for stellarator geometry

Kleiber, R.; Borchardt, M.; Hatzky, R.; Könies, A.; Leyh, H.; Mishchenko, A.; Riemann, J.; Slaby, C.; García-Regaña, J.M.; Sánchez, E.; Cole, M.

doi:10.1016/j.cpc.2023.109013

Cited by 5 publications

(4 citation statements)

References 83 publications

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“…This is done by applying a corresponding Fourier filter on Φ after each time step. The boundary conditions are Φ = 0 at the plasma boundary and the natural regularity condition at the magnetic axis, that is Φ ′ (0,n) = 0, and Φ (m,n) = 0, for m ̸ = 0 [18]. EUTERPE uses a δf-method to reduce particle noise, where equations ( 1)- (10) are solved for each species by introducing δf with…”

Section: Methodology and Numerical Techniques Used In Euterpementioning

confidence: 99%

“…EUTERPE [18] is a gyrokinetic Monte Carlo particle-incell δf code capable of treating any ideal magnetohydrodynamic (MHD) equilibrium calculated with the VMEC code [19]. Since intra-and inter-species collisions are implemented in EUTERPE, it is capable of simulating neoclassical transport processes.…”

Section: Methodology and Numerical Techniques Used In Euterpementioning

confidence: 99%

“…In either case, only the radial part of the electric field, E r = −dΦ 0 /dr, which causes poloidal rotation, is included in v Φ . In local simulations each flux surface can thus be simulated separately since no radial derivatives act on δf in equation (18). The radial electric field enters as a parameter in this equation, and regulates the particle flux.…”

Section: Predictions Of Local Neoclassical Transport Theorymentioning

confidence: 99%

“…the radial density and temperature gradients, and the electric field. As a result, all moments of δf, including the particle and energy fluxes and the bootstrap current, are linearly dependent on the thermodynamic (18). The methods of calculating the radial electric field are also compared between the local and global theories.…”

Section: Predictions Of Local Neoclassical Transport Theorymentioning

confidence: 99%

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Self-consistent, global, neoclassical radial-electric-field calculations of electron-ion-root transitions in the W7-X stellarator

Kuczyński,

Kleiber,

Smith

et al. 2024

Nucl. Fusion

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The radial electric field in the Wendelstein 7-X stellarator is computed by means of self-consistent, global, neoclassical simulations using the gyrokinetic particle-in-cell code EUTERPE. The simulation results are compared with local predictions obtained from a transport code using locally computed neoclassical transport coefficients. The analysis focuses on ion-electron-root transitions and investigates their dependence on collisionality, normalised ion gyroradius, and the electron-ion temperature ratio. Several of the results cannot be reproduced using conventional, local neoclassical transport theory. An approximate criterion for root transitions is derived, which results in an analytical scaling law that is useful for understanding how the position of the transition layer varies with plasma parameters.

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Section: Methodology and Numerical Techniques Used In Euterpementioning

confidence: 99%

Section: Methodology and Numerical Techniques Used In Euterpementioning

confidence: 99%

Section: Predictions Of Local Neoclassical Transport Theorymentioning

confidence: 99%

Section: Predictions Of Local Neoclassical Transport Theorymentioning

confidence: 99%

See 2 more Smart Citations

Self-consistent, global, neoclassical radial-electric-field calculations of electron-ion-root transitions in the W7-X stellarator

Kuczyński,

Kleiber,

Smith

et al. 2024

Nucl. Fusion

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Web apps for profile fitting and power balance analysis at Wendelstein 7-X

Wappl,

Bozhenkov,

Beurskens

et al. 2024

Review of Scientific Instruments

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Two novel web apps for W7-X are introduced: Profile Cooker and Power House. They are designed to streamline the workflow of profile fitting and power balance analysis while offering a graphical user interface that works in any common browser. This allows us to compile a comprehensive database of experimental power balance results. All fitting functions available in Profile Cooker are presented and compared on the basis of example profiles. The power balance equation assumed in Power House is established and its individual terms are discussed. The main focus of the power balance analysis is on the turbulent transport coefficients. A model for quick calculation of neutral beam power deposition based on experimental profiles is presented. Neoclassical root transition poses an issue for power balance analysis due to the uncertainty of the radial electric field. A global, neoclassical simulation with the code EUTERPE is performed for a set of experimental profiles to gain an understanding of the neoclassical root transition.

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Gyrokinetic electromagnetic particle simulations in triangular meshes with C1 finite elements

Lu,

Meng,

Hatzky

et al. 2024

Plasma Phys. Control. Fusion

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The triangular mesh-based gyrokinetic scheme enables comprehensive axis-to-edge studies across the entire plasma volume. Our approach employs triangular finite elements with first-derivative continuity (C1), building on previous work to facilitate gyrokinetic simulations. Additionally, we have adopted the mixed variable/pullback scheme for gyrokinetic electromagnetic particle simulations. The filter-free treatment in the poloidal cross-section with triangular meshes introduces unique features and challenges compared to previous treatments using structured meshes. Our implementation has been validated through benchmarks using ITPA-TAE (Toroidicity-induced Alfv'en Eigenmode) parameters, showing its capability in moderate to small electron skin depth regimes. Additional examinations with experimental parameters confirm its applicability to realistic plasma conditions.

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EUTERPE: A global gyrokinetic code for stellarator geometry

Cited by 5 publications

References 83 publications

Self-consistent, global, neoclassical radial-electric-field calculations of electron-ion-root transitions in the W7-X stellarator

Self-consistent, global, neoclassical radial-electric-field calculations of electron-ion-root transitions in the W7-X stellarator

Web apps for profile fitting and power balance analysis at Wendelstein 7-X

Gyrokinetic electromagnetic particle simulations in triangular meshes with C1 finite elements

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