Axisymmetric MHD equilibrium solver with bicubic Hermite elements

Lütjens, H.; Bondeson, A.; Roy, Anirban

doi:10.1016/0010-4655(92)90167-w

Cited by 63 publications

(58 citation statements)

References 14 publications

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“…The code LORB5 is coupled with the CHEASE code, a Grad-Shafranov solver of tokamak plasmas MHD-equilibria [29]. The T e , T i and n e profiles used in the simulation are the ones taken from the experimental δ = 0.2 equilibrium indicated in figure 4.…”

Section: Plasma Shape Variation In Lorb5mentioning

confidence: 99%

Electron heat transport in shaped TCV L-mode plasmas

Camenen

Pochelon

Bottino

et al. 2005

Plasma Phys. Control. Fusion

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Electron heat transport experiments are performed in L-mode discharges at various plasma triangularities, using radially localized electron cyclotron heating to vary independently both the electron temperature T e and the normalized electron temperature gradient R/L T e over a large range. Local gyrofluid (GLF23) and global collisionless gyro-kinetic (LORB5) linear simulations show that, in the present experiments, trapped electron mode (TEM) is the most unstable mode. Experimentally, the electron heat diffusivity χ e is shown to decrease with increasing collisionality, and no dependence of χ e on R/L T e is observed at high R/L T e values. These two observations are consistent with the predictions of TEM simulations, which supports the fact that TEM plays a crucial role in electron heat transport. In addition, over the broad range of positive and negative triangularities investigated, the electron heat diffusivity is observed to decrease with decreasing plasma triangularity, leading to a strong increase of plasma confinement at negative triangularity.

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Section: Plasma Shape Variation In Lorb5mentioning

confidence: 99%

Electron heat transport in shaped TCV L-mode plasmas

Camenen

Pochelon

Bottino

et al. 2005

Plasma Phys. Control. Fusion

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“…For CASTOR, the EFIT equilibrium is recomputed using the HELENA code [26]. For PENN, an equilibrium is reconstructed [27] from the EFIT equilibrium, leading within the uncertainties in the diagnostics to a similar representation of the D-shaped high-D plasma. The low density region around the last closed magnetic surface is taken as a perfect vacuum, and the vessel is modelled as a perfectly conducting wall.…”

Section: Theoretical Modellingmentioning

confidence: 99%

Comparison between measurements of the poloidal distribution of magnetic fluctuations and predictions of theoretical models during TAE activity

1997

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ABSTRACT. Fluctuations produced by beam-driven toroidicity-induced Alfv6n eigenmode (TAE) activity in the DIII-D tokamak are measured by a poloidal array of magnetic probes and compared with the wavefields computed by two theoretical models. Fluid resistive models compute continuum damped TAEs. A kinetic plasma model that retains Landau damping and finite Larmor radius effects computes global drift-kinetic Alfv6n eigenmodes. The phases of the probes disagree with both theoretical predictions, while the amplitudes agree best with the kinetic model.

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“…The coefficients c 1 and c 2 are adjusted using Eqs. (27) and (29) to give an inverse aspect ratio = 0.1 and ellipticity E = 1. The constant K = X 2 /2T s from Eq.…”

Section: Equilibriamentioning

confidence: 99%

“…For numerical stability calculations, an accurate numerical representation of the equilibrium is required. In order to test the accuracy of the equilibrium solver, the Solov'ev solution is frequently used [25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

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The Brunt–Väisälä frequency of rotating tokamak plasmas

Haverkort

Blank

Koren

2012

Journal of Computational Physics

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a b s t r a c tThe continuous spectrum of analytical toroidally rotating magnetically confined plasma equilibria is investigated analytically and numerically. In the presence of purely toroidal flow, the ideal magnetohydrodynamic equations leave the freedom to specify which thermodynamic quantity is constant on the magnetic surfaces. Introducing a general parametrization of this quantity, analytical equilibrium solutions are derived that still posses this freedom. These equilibria and their spectral properties are shown to be ideally suited for testing numerical equilibrium and stability codes including toroidal rotation. Analytical expressions are derived for the low-frequency continuous Alfvén spectrum. These expressions still allow one to choose which quantity is constant on the magnetic surfaces of the equilibrium, thereby generalizing previous results. The centrifugal convective effect is shown to modify the lowest Alfvén continuum branch to a buoyancy frequency, or Brunt-Väisälä frequency. A comparison with numerical results for the case that the specific entropy, the temperature, or the density is constant on the magnetic surfaces yields excellent agreement, showing the usefulness of the derived expressions for the validation of numerical codes.

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Axisymmetric MHD equilibrium solver with bicubic Hermite elements

Cited by 63 publications

References 14 publications

Electron heat transport in shaped TCV L-mode plasmas

Electron heat transport in shaped TCV L-mode plasmas

Comparison between measurements of the poloidal distribution of magnetic fluctuations and predictions of theoretical models during TAE activity

The Brunt–Väisälä frequency of rotating tokamak plasmas

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