Sheared rotation effects on kinetic stability in enhanced confinement tokamak plasmas, and nonlinear dynamics of fluctuations and flows in axisymmetric plasmas
Abstract:25, 1167 (1985)], with reversed magnetic shear regions in the plasma interior. The high-n toroidal drift modes destabilized by the combined e ects of ion temperature gradients and trapped particles in toroidal geometry can be strongly a ected by radially-sheared toroidal and poloidal plasma rotation. In previous work with the FULL linear microinstability code, a simpli ed rotation model including only toroidal rotation was employed, and results were obtained. Here, a more complete rotation model, that includes… Show more
“…The recent full code simulation has calculated the drift mode growth rate and real frequency, taking into account the contribution of V i and V i to the radial electrical field. 31 Qualitatively, the present result for the growth rate and real frequency is consistent with the simulation's, e.g., both the simulation and the present work have r Ͻ0 for the ERS plasma. However, it is necessary to consider the effects of V i and V i based on the present model and further compare it with the full code simulation.…”
In the well-known reversed shear discharges, it is observed that the ion thermal diffusivity (χi) falls below the standard neoclassical value (χineo), i.e., χi<χineo. In this paper, local turbulent ion thermal pinch (χit<0) is proposed as a candidate for interpreting the experimental results from χi=χineo+χit<χineo. To test the idea, the two-fluid theory, developed by Weiland and the Chalmers group [J. Weiland et al., Nucl. Fusion 29, 1810 (1989); H. Nordman et al., ibid 30, 983 (1990)], is used in the reversed magnetic shear tokamak plasma to study the drift mode and associated ion heat transport. The theory is extended here to include both the radial electrical field shear (dEr/dr) and electron fluid velocity (Ve) in the sheared coordinate system. Remarkably different from B−1dEr/dr, k⋅Ve directly includes the safety factor q as well as the E×B velocity VE itself, where k is the magnetic configuration-dependent wave vector. As a result, the synergetic effects of B−1dEr/dr and k⋅Ve, especially those of k⋅Ve, lead to the local turbulent ion heat pinch in the negative and weak magnetic shear region because of the wave-particle resonance. The impact of B−1dEr/dr and k⋅Ve on the growth rate and ion heat pinch is numerically investigated. Qualitatively, the present results are in good agreement with the experimental trends.
“…The recent full code simulation has calculated the drift mode growth rate and real frequency, taking into account the contribution of V i and V i to the radial electrical field. 31 Qualitatively, the present result for the growth rate and real frequency is consistent with the simulation's, e.g., both the simulation and the present work have r Ͻ0 for the ERS plasma. However, it is necessary to consider the effects of V i and V i based on the present model and further compare it with the full code simulation.…”
In the well-known reversed shear discharges, it is observed that the ion thermal diffusivity (χi) falls below the standard neoclassical value (χineo), i.e., χi<χineo. In this paper, local turbulent ion thermal pinch (χit<0) is proposed as a candidate for interpreting the experimental results from χi=χineo+χit<χineo. To test the idea, the two-fluid theory, developed by Weiland and the Chalmers group [J. Weiland et al., Nucl. Fusion 29, 1810 (1989); H. Nordman et al., ibid 30, 983 (1990)], is used in the reversed magnetic shear tokamak plasma to study the drift mode and associated ion heat transport. The theory is extended here to include both the radial electrical field shear (dEr/dr) and electron fluid velocity (Ve) in the sheared coordinate system. Remarkably different from B−1dEr/dr, k⋅Ve directly includes the safety factor q as well as the E×B velocity VE itself, where k is the magnetic configuration-dependent wave vector. As a result, the synergetic effects of B−1dEr/dr and k⋅Ve, especially those of k⋅Ve, lead to the local turbulent ion heat pinch in the negative and weak magnetic shear region because of the wave-particle resonance. The impact of B−1dEr/dr and k⋅Ve on the growth rate and ion heat pinch is numerically investigated. Qualitatively, the present results are in good agreement with the experimental trends.
“…Their importance lies in their ability to limit the radial size of the drift-wave eddies through the shear decorrelation mechanism [3] and hence, effectively, to regulate turbulent transport. After zonal flows were properly included in gyrofluid [5,6,8] and gyrokinetic [2,7,8] simulations, it was found that the predicted transport rates decreased by up to a factor of 10. While this work has focused mainly on the ion temperature gradient (ITG) mode as the instability drive, which is expected to be dominant in the plasma core, there are also indications [9,12,22] that similar effects should be active in the plasma edge, where resistive ballooning physics may dominate.…”
Section: (Received 11 September 2000)mentioning
confidence: 99%
“…More recent theoretical and computational work [2,[5][6][7][8][9][10] has led to the important realization that fluctuating sheared poloidalẼ 3 B flows, known as zonal flows [11] or radial modes [6], can be driven by microinstabilities and in turn act to regulate them through the same shear stabilization mechanism. In all regimes, therefore, plasma turbulence is expected to be in a self-organized state mediated by zonal flows.…”
The spectrum of turbulent density fluctuations at long poloidal wavelengths in the edge plasma of the DIII-D tokamak peaks at nonzero radial wave number. The associated electric-potential fluctuations cause shearedẼ 3 B flows primarily in the poloidal direction. These zonal flows have been predicted by theory and are believed to regulate the overall level of turbulence and anomalous transport. This study provides the first indirect experimental identification of zonal flows.
“…For example, stable shear flows can dramatically quench turbulent transport by shear-induced-enhanced-dissipation (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]). This occurs as a shear flow distorts fluid eddies, accelerates the formation of small scales, and dissipates them when a molecular diffusion becomes effective on small scales.…”
We report a non-perturbative study of the effects of shear flows on turbulence reduction in a decaying turbulence in two dimensions. By considering different initial power spectra and shear flows (zonal flows, combined zonal flows and streamers), we demonstrate how shear flows rapidly generate small scales, leading to a fast damping of turbulence amplitude. In particular, a double exponential decrease in turbulence amplitude is shown to occur due to an exponential increase in wavenumber. The scaling of the effective dissipation time scale τ e , previously taken to be a hybrid time scale τ e ∝ τ 2/3 Ω τ η , is shown to depend on types of depend on the type of shear flow as well as the initial power spectrum. Here, τ Ω and τ η are shearing and molecular diffusion times, respectively.Furthermore, we present time-dependent Probability Density Functions (PDFs) and discuss the effect of enhanced dissipation on PDFs and a dynamical time scale τ (t), which represents the time scale over which a system passes through statistically different states.
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