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Fine scales of turbulent velocity fields, beyond the inertial range and wellinto the dissipative range, are highly intermittent. It has been hypothesizedthat complex plane singularities are the principal mechanism behind fine scaleintermittency. In this article, we view the velocity field of a turbulent flowas an analytic function of time. Although the function is only available forreal values of time, we present a numerical technique to analytically continuethe function to complex values of time, and with sufficient fidelity to locateand visualize the singularity closest to the real axis. Using this technique,we demonstrate a robust connection between temporal intermittency and thelocation of singularities in the complex plane.

Intermittency at Fine Scales and Complex Singularities of Turbulent Couette Flow