Stability and transport of gyrokinetic critical pedestals

Abstract

A gyrokinetic threshold model for pedestal width–height scaling prediction is applied to multiple devices. A shaping and aspect ratio scan is performed on National Spherical Torus Experiment (NSTX) equilibria, finding $\Delta_{\mathrm{ped}} = 0.92 A^{1.04} \kappa^{-1.24} 0.38^{\delta} \beta_{\theta,\mathrm{ped}}^{1.05}$ for the wide-pedestal branch with pedestal width $\Delta_{\mathrm{ped}}$ , aspect ratio A , elongation κ , triangularity δ , and normalized pedestal height $\beta_{\theta,\mathrm{ped}}$ . The width–transport scaling is found to vary significantly if the pedestal height is varied either with a fixed density or fixed temperature, showing how fueling and heating sources affect the pedestal density and temperature profiles for the kinetic-ballooning-mode (KBM) limited profiles. For an NSTX equilibrium, at fixed density, the wide branch is $\Delta_{\mathrm{ped} } = 0.028 \left(q_\textrm e/\Gamma_\textrm e - 1.7 \right)^{1.5} \sim \eta_\textrm e ^{1.5}$ and at fixed temperature $\Delta_{\mathrm{ped} } = 0.31 \left(q_\textrm e/\Gamma_\textrm e - 4.7 \right)^{0.85}$ $ \sim \eta_\textrm e ^{0.85}$ , where $q_\textrm e$ and $\Gamma_\textrm e$ are turbulent electron heat and particle fluxes and $\eta_\textrm e = \nabla \ln T_\textrm e / \nabla \ln n_\textrm e$ for an electron temperature $T_\textrm e$ and density $n_\textrm e$ . Pedestals close to the KBM limit are shown to have modified turbulent transport coefficients compared to the strongly driven KBMs. The role of flow shear is studied as a width–height scaling constraint and pedestal saturation mechanism for a standard and lithiated wide pedestal discharge. Finally, the stability, transport, and flow shear constraints are combined and examined for an NSTX experiment.

Keywords

• pedestal
• gyrokinetics
• turbulence
• transport
• stability
• flow shear