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Elliptic equations play a crucial role in turbulence models for magnetic confinement fusion. Regardless of the chosen modeling approach - whether gyrokinetic, gyrofluid, or drift-fluid - the Poisson equation and Amp\`{e}re's law lead to…

The first nonlinear gyrokinetic simulations obtained using a moment approach based on the Hermite-Laguerre decomposition of the distribution function are presented, implementing advanced models for the collision operator. Turbulence in a…

Plasma Physics · Physics 2023-05-17 A. C. D. Hoffmann , B. J. Frei , P. Ricci

Fast ions have recently been found to significantly impact and partially suppress plasma turbulence both in experimental and numerical studies in a number of scenarios. Understanding the underlying physics and identifying the range of their…

Plasma Physics · Physics 2018-05-09 A. Di Siena , T. Görler , H. Doerk , R. Bilato , J. Citrin , T. Johnson , M. Schneider , E. Poli , JET Contributors

For the simulation of rectilinearly moving conductors across a magnetic field, the Galer-kin finite element method (GFEM) is generally employed. The inherent instability of GFEM is very often addressed by employing Streamline…

Numerical Analysis · Mathematics 2016-08-22 Sethupathy Subramanian , Udaya Kumar

Understanding plasma turbulence requires a synthesis of experiments, observations, theory, and simulations. In the case of kinetic plasmas such as the solar wind, the lack of collisions renders the fluid closures such as viscosity…

The gyrokinetic particle simulation serves as a powerful tool for the studies of transport, nonlinear phenomenon, and energetic particle physics in tokamak plasmas. While most gyrokinetic simulations make use of the scalar and vector…

Plasma Physics · Physics 2022-02-16 Maxwell Rosen , Zhixin Lu , Matthias Hoelzl

In this paper we present a new technique for efficiently implementing Large Eddy Simulation with the Discontin- uous Galerkin method on unstructured meshes. In particular, we will focus upon the approach to overcome the computational…

Fluid Dynamics · Physics 2016-10-24 Angus Creech , Adrian Jackson , James Maddison , James Percival , Tom Bruce

A new magnetohydrodynamics (MHD) code based on initial value approach, GMEC_I, has been developed for simulating various MHD physics in tokamak plasmas, as the MHD foundation of the gyrokinetic-MHD energetic particle simulation code (GMEC)…

Plasma Physics · Physics 2024-02-15 P. Y. Jiang , Z. Y. Liu , S. Y. Liu , J. Bao , G. Y. Fu

The development and application of the Discontinuous Galerkin (DG) method have attracted great attention in computational fluid dynamics (CFD) com- munity in the past decades. The underlying reason for such an intensive investigation is due…

Numerical Analysis · Mathematics 2016-01-20 Kun Xu , Chang Liu , Xiaodong Ren

Theory-based scaling laws of the near and far scrape-off layer (SOL) widths are analytically derived for L-mode diverted tokamak discharges by using a two-fluid model. The near SOL pressure and density decay lengths are obtained by…

Plasma Physics · Physics 2021-04-20 M. Giacomin , A. Stagni , P. Ricci , J. A. Boedo , J. Horacek , H. Reimerdes , C. K. Tsui

In this paper, we propose a unified and high order accurate fully-discrete one-step ADER Discontinuous Galerkin method for the simulation of linear seismic waves in the sea bottom that are generated by the propagation of free surface water…

Numerical Analysis · Mathematics 2020-04-08 Caterina Bassi , Saray Busto , Michael Dumbser

For magnetic confinement fusion in tokamak plasmas, some of the limitations to the particle and energy confinement times are caused by turbulence and collisions between particles in toroidal geometry, which determine the "anomalous" and the…

Plasma Physics · Physics 2023-07-19 Lana Rekhviashvili , Zhixin Lu , Matthias Hoelzl , Andreas Bergmann , Philipp Lauber

Design of modern nanostructured semiconductor devices often calls for simulation tools capable of modeling arbitrarily-shaped multiscale geometries. In this work, to this end, a discontinuous Galerkin (DG) method-based framework is…

Computational Physics · Physics 2020-02-03 Liang Chen , Hakan Bagci

Rarefied gas effects are of critical importance for the aerodynamic performance of hypersonic vehicles operating at high altitudes. In these scenarios, conventional computational fluid dynamics (CFD) solvers break down as the linear…

Fluid Dynamics · Physics 2026-05-25 Wenpei Long , Junzhe Cao , Yue Zhang , Kun Xu

In this paper we propose a semi-Lagrangian discontinuous Galerkin solver for the simulation of the scrape off layer for an electron-ion plasma. We use a time adaptive velocity space to deal with fast particles leaving the computational…

Numerical Analysis · Mathematics 2024-08-22 Lukas Einkemmer , Alexander Moriggl

Turbulent flow control has numerous applications and building reduced-order models (ROMs) of the flow and the associated feedback control laws is extremely challenging. Despite the complexity of building data-driven ROMs for turbulence, the…

Fluid Dynamics · Physics 2021-07-19 Arvind T. Mohan , Kaushik Nagarajan , Daniel Livescu

Geodesic acoustic modes (GAMs) are studied by means of the gyrokinetic global particle-in-cell code ORB5. Linear electromagnetic simulations in the low electron beta limit have been performed, in order to separate acoustic and Alfv\'enic…

Gyrokinetic simulations are essential for understanding and controlling turbulence in fusion plasmas, yet they are oftentimes implemented in legacy codebases, in many cases CPU-bound. These are both hard to maintain and especially…

Plasma Physics · Physics 2026-04-08 Gianluca Galletti , Eric Volkmann , Johannes Brandstetter

We present a new method for formulating closures that learn from kinetic simulation data. We apply this method to phase mixing in a simple gyrokinetic turbulent system - temperature gradient driven turbulence in an unsheared slab. The…

Plasma Physics · Physics 2021-10-08 A. Shukla , D. R. Hatch , W. Dorland , C. Michoski

A subgrid electron-temperature-gradient (ETG) model is demonstrated here which averages local electron-scale turbulence from the GENE code over intermediate scales in space and time to include in global ion-temperature-gradient (ITG) GEM…

Plasma Physics · Physics 2025-07-24 Stefan Tirkas , Yang Chen , Scott Parker
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