Regeneration of a graph by a certain subset of columns of its distance matrix

Yushmanov, S. V.

doi:10.1007/bf01138946

Cited by 1 publication

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“…Starting from Subsection III B, the poloidal rotation velocity is assumed to be at its neoclassical equilibrium value (6). In case of small amplitude non-axisymmetric magnetic field perturbations, which are formally infinitesimal within the context of this paper, the equilibrium poloidal rotation is established much faster (during the relaxation time s # ) than the toroidal rotation whose relaxation rate s À1 u scales with the perturbation field amplitude e M (this scaling is quadratic for infinitesimal e M ).…”

Section: Definitionsmentioning

confidence: 99%

“…which is obtained expressing the non-ambipolar flux densities in (25) through the thermodynamic forces and the transport coefficients D NA ij using (9) and replacing in forces A 1 the radial electric field with the ion toroidal rotation velocity V u via (6). The rotation relaxation rate t (toroidal viscosity frequency) and the "intrinsic" ("offset") rotation velocity V u in take a particular simple form if the electron particle flux is negligible.…”

Section: B Account Of Small Amplitude External Perturbationsmentioning

confidence: 99%

“…Other regimes, which are also important for tokamaks, are not covered completely by the bounce-averaged approach. For example, in case of TF ripples more than 10 different regimes can be identified, 4 and the most important ones, such as ripple plateau 5 or resonant diffusion regimes, 6 cannot be described by the bounce-averaged approach. Partly, this problem has been fixed in Ref.…”

Section: Introductionmentioning

confidence: 98%

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Evaluation of the toroidal torque driven by external non-resonant non-axisymmetric magnetic field perturbations in a tokamak

et al. 2014

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The toroidal torque driven by external non-resonant magnetic perturbations (neoclassical toroidal viscosity) is an important momentum source affecting the toroidal plasma rotation in tokamaks. The well-known force-flux relation directly links this torque to the non-ambipolar neoclassical particle fluxes arising due to the violation of the toroidal symmetry of the magnetic field. Here, a quasilinear approach for the numerical computation of these fluxes is described, which reduces the dimension of a standard neoclassical transport problem by one without model simplifications of the linearized drift kinetic equation. The only limiting condition is that the non-axisymmetric perturbation field is small enough such that the effect of the perturbation field on particle motion within the flux surface is negligible. Therefore, in addition to most of the transport regimes described by the banana (bounce averaged) kinetic equation also such regimes as, e.g., ripple-plateau and resonant diffusion regimes are naturally included in this approach. Based on this approach, a quasilinear version of the code NEO-2 [W. Kernbichler et al., Plasma Fusion Res. 3, S1061 (2008).] has been developed and benchmarked against a few analytical and numerical models. Results from NEO-2 stay in good agreement with results from these models in their pertinent range of validity.

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Section: Definitionsmentioning

confidence: 99%

Section: B Account Of Small Amplitude External Perturbationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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