2010
DOI: 10.1103/physrevlett.105.155001
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System Size Effects on Gyrokinetic Turbulence

Abstract: The scaling of turbulence-driven heat transport with system size in magnetically confined plasmas is reexamined using first-principles based numerical simulations. Two very different numerical methods are applied to this problem, in order to resolve a long-standing quantitative disagreement, which may have arisen due to inconsistencies in the geometrical approximation. System size effects are further explored by modifying the width of the strong gradient region at fixed system size. The finite width of the str… Show more

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Cited by 116 publications
(166 citation statements)
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“…The former option-which benefits from spectral methods in both directions perpendicular to the magnetic field thus being numerically very robust and efficientrepresents an appropriate choice if the gyroradii are small compared to the machine size and to the gradient length scale variations. 24,25 In the given context, these requirements appear to be fulfilled for all radial positions under consideration. Unless stated otherwise, all simulations are considering fully gyrokinetically treated deuterium ions and electrons, electromagnetic effects by solving for the parallel component of Ampère's law, a finite Debye length, full inter-and intra-species collisions modeled by a linearized LandauBoltzmann collision operator, 26 geometry information directly taken from the geqdsk efit file by field line tracing, 27 parallel flow shear, and-after a first sufficiently long initial saturation phase-E Â B shear flow effects via timedependent radial wave numbers as described in Ref.…”
Section: B Numerical Tools and Observablesmentioning
confidence: 99%
“…The former option-which benefits from spectral methods in both directions perpendicular to the magnetic field thus being numerically very robust and efficientrepresents an appropriate choice if the gyroradii are small compared to the machine size and to the gradient length scale variations. 24,25 In the given context, these requirements appear to be fulfilled for all radial positions under consideration. Unless stated otherwise, all simulations are considering fully gyrokinetically treated deuterium ions and electrons, electromagnetic effects by solving for the parallel component of Ampère's law, a finite Debye length, full inter-and intra-species collisions modeled by a linearized LandauBoltzmann collision operator, 26 geometry information directly taken from the geqdsk efit file by field line tracing, 27 parallel flow shear, and-after a first sufficiently long initial saturation phase-E Â B shear flow effects via timedependent radial wave numbers as described in Ref.…”
Section: B Numerical Tools and Observablesmentioning
confidence: 99%
“…These cases shall be extended accordingly in order to reduce the effort regarding the definition and comparison of secondary parameters which are required for the test case itself but rather irrelevant for the general inclusion of electromagnetic fluctuations, for instance, the profiles and the geometry. Amongst others, the ITM 2008 benchmark 9 , the Gyro/Gtc 10 comparison, and similar Gene/Orb5 benchmarks 11,12 can be identified as possible starting point as they all present comparisons of completely different numerical approaches, e.g. Eulerian vs. Lagrangian methods.…”
Section: Physical Scenario and Numerical Toolsmentioning
confidence: 99%
“…For the numerical geometry, the finesse code was used to solve the extended Grad-Shafranov equation including toroidal rotation [33]. All simulations carried out were local, which is justified since 1/ρ * ∼500 for the range of plasma parameters studied here [34,35]. Both linear and non-linear simulations were performed.…”
Section: Gene Simulations and Discharge Parametersmentioning
confidence: 99%