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The narrow power decay-length ($\lambda_q$), recently found in the scrape-offlayer (SOL) of inner-wall limited (IWL) discharges in tokamaks, is studiedusing 3D, flux-driven, global two-fluid turbulence simulations. The formationof the steep plasma profiles measured is found to arise due to radially sheared$\vec{E}\times\vec{B}$ poloidal flows. A complex interaction between shearedflows and outflowing plasma currents regulates the turbulent saturation,determining the transport levels. We quantify the effects of sheared flows,obtaining theoretical estimates in agreement with our non-linear simulations.Analytical calculations suggest that the IWL $\lambda_q$ is roughly equal tothe turbulent correlation length.

Velocity shear, turbulent saturation, and steep plasma gradients in the scrape-off layer of inner-wall limited tokamaks