Time evolution and finite element representation of Phase Space Zonal Structures in ORB5

Bottino, A.; Falessi, Matteo Valerio; Hayward-Schneider, T.; Biancalani, A.; Briguglio, S.; Hatzky, R.; Lauber, P.; Mishchenko, A.; Poli, E.; Rettino, B.; Vannini, F.; Wang, X.; Zonca, F.

doi:10.1088/1742-6596/2397/1/012019

Cited by 5 publications

(8 citation statements)

References 25 publications

(24 reference statements)

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“…Future research directions include the derivation of general orbit-averaged source and collision terms on the analytical side. On the numerical side, PSZS diagnostics have been developed for global gyrokinetic and hybrid codes such as HMGC and ORB5 [19], enabling the study of phase space transport processes during nonlinear gyrokinetic simulation. At present, the EP workflow calculates the PSZS evolution within the kick model [53] approximation.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Here, for simplicity, we have dropped ∆ 1 and ∆ 2 terms in equation (A. 19) and noted the result of A.2 to neglect the ∝ θG ∂ θ contribution to the nonlinear response for F 0 * symmetric in σ. We have also assumed T e /T i ≪ 1, without loss of generality, in order to drop δ φG with respect to [δϕ G ] ψ following [48].…”

Section: A4 Nonlinear Dynamics Of Energetic Particle Driven Geodesic ...mentioning

confidence: 99%

“…Meanwhile, non-local processes that question the Ansatz of local diffusive transport are also accounted for in the present analysis. In fact, by solving the PSZS transport equations through a hierarchy of transport models [8] ranging from global gyrokinetics [19] to quasilinear theories, we can develop and validate advanced reduced EP transport models capable of capturing the long timescale evolution of burning plasmas, and provide insights into the non-locality of the underlying transport processes [8].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear equilibria and transport processes in burning plasmas

Falessi,

Chen,

Qiu

et al. 2023

New J. Phys.

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In this work, we put forward a general phase space transport theory in axisymmetric tokamak plasmas based upon the concept of zonal state (ZS). Within this theoretical framework, the ZS corresponds to a renormalized plasma nonlinear equilibrium consisting of phase space zonal structures (PSZS) and zonal electromagnetic fields (ZFs) which evolve self-consistently with symmetry breaking fluctuations and sources/collisions. More specifically, our approach involves deriving governing equations for the evolution of particle distribution functions (i.e, PSZS), which can be used to compute the corresponding macro-/meso-scale evolving magnetized plasma equilibrium adopting the Chew Goldberger Low description, separating the spatiotemporal microscale structures. The nonlinear physics of ZFs and of geodesic acoustic modes (GAMs)/energetic particle driven GAMs is then analyzed to illustrate the applications of our theory.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: A4 Nonlinear Dynamics Of Energetic Particle Driven Geodesic ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear equilibria and transport processes in burning plasmas

Falessi,

Chen,

Qiu

et al. 2023

New J. Phys.

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“…The Hamiltonian-mapping diagnostics has been applied in HMGC to study the phase-space dynamics of the particles in the chirping modes which have also been studied with the fully gyrokinetic EUTERPE and the reduced CKA-EUTERPE model [37]. For ORB5, a dedicated finite element representation of phase space zonal structures has been introduced [74] which can be used for various purposes, including chirping dynamics. Fully numerical energetic-particle distribution functions (e.g.…”

Section: Gyrokinetic Codesmentioning

confidence: 99%

Numerical tools for burning plasmas

Mishchenko

Biancalani

Borchardt

et al. 2023

Plasma Phys. Control. Fusion

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The software stack under development within a European coordinated effort on tools for burning plasma modelling is presented. The project is organised as a Task (TSVV Task 10) under the new E-TASC initiative (X. Litaudon et al, Plasma Phys. Contr. Fusion, 64, 034005 (2022)). This is a continued effort within the EUROfusion inheriting from the earlier European coordination projects as well as research projects based at various European laboratories. The ongoing work of the TSVV Tasks is supported by the Advanced Computing Hubs. Major projects requiring the High Perfromance Computing (HPC) resources are global gyrokinetic codes and global hybrid particle-Magnetohydrodynamics (MHD) codes. Also applications using the integrated modeling tools, such as the Energetic-Particle Workflow, based on the ITER Integrated Modelling & Analysis Suite (IMAS), or the code package for modelling radio-frequency heating and fast-ion generation may require intensive computation and a substantial memory footprint. The continual development of these codes both on the physics side and on the HPC side allows us to tackle frontier problems, such as the interaction of turbulence with MHD-type modes in the presence of fast particles. One of the important mandated outcomes of the E-TASC project is the IMAS-enabling of EUROfusion codes and release of the software stack to the EUROfusion community.

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“…Their results have been successfully applied to particle-in-cell codes (Bottino et al. 2022), and completed with the evaluation of the mesoscale radial extent of fluctuations (Zonca et al. 2021 a ).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear drift-wave and energetic particle long-time behaviour in stellarators: solution of the kinetic problem

et al. 2023

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We propose a theoretical scheme for the study of the nonlinear interaction of drift-wave-like turbulence and energetic particles in stellarators. The approach is based on gyrokinetics, and features a separation of time and scales, for electromagnetic fluctuations, inspired by linear ballooning theory. Two specific moments of the gyrokinetic equation constitute the main equations of the system, which requires a full kinetic nonlinear solution. This is found iteratively, expanding in the smallness of the bounce-average radial drift frequency, and nonlinear $\boldsymbol {E}\times \boldsymbol {B}$ drift frequency, compared with the inverse time scales of the resonantly interacting energetic particles. Our analysis is therefore valid for neoclassically optimised stellators. The resummation of all iterative and perturbative nonlinear kinetic solutions is discussed in terms of Feynman diagrams. Particular emphasis is put on the role of collisionlessly undamped large-scale structures in phase space, the kinetic equivalent of zonal flows, i.e. phase-space zonal structures, and on wave-like fluctuations generated by energetic particles.

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Time evolution and finite element representation of Phase Space Zonal Structures in ORB5

Cited by 5 publications

References 25 publications

Nonlinear equilibria and transport processes in burning plasmas

Nonlinear equilibria and transport processes in burning plasmas

Numerical tools for burning plasmas

Nonlinear drift-wave and energetic particle long-time behaviour in stellarators: solution of the kinetic problem

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