Using a wave-number-advection algorithm, we describe a method to add global profile curvature terms to the local gyrokinetic equations. This approach enables a high-precision global simulation capability without sacrificing the efficiency and spectral accuracy of local simulations. Preliminary numerical results suggest that there are two distinct types of global correction to the local result: (1) a trivial shift of the local result in radius and (2) a nontrivial decorrelation that is roughly equivalent to the well-known $\mathbf{E}\times \mathbf{B}$ shear effect. This interpretation provides an intuitive framework for understanding global gyrokinetic simulations.

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• Tokamaks
• Gyrofluid & gyrokinetics