  In this paper, we discuss the usage and implementation of the compressive
sensing (CS) for the efficient measurement and analysis of the von K\'arm\'an
vortices. We consider two different flow fields, the flow fields around a
circle and an ellipse. We solve the governing $k-\epsilon$ transport equations
numerically in order to model the flow fields around these bodies. Using the
time series of the drag, $C_D$, and the lift, $C_L$, coefficients, and their
Fourier spectra, we show that compressive sampling can be effectively used to
measure and analyze Von K\'arm\'an vortices. We discuss the effects of the
number of samples on reconstruction and the benefits of using compressive
sampling over the classical Shannon sampling in the flow measurement and
analysis where Von K\'arm\'an vortices are present. We comment on our findings
and indicate their possible usage areas and extensions. Our results can find
many important applications including but are not limited to measure, control,
and analyze vibrations around coastal and offshore structures, bridges,
aerodynamics, and Bose-Einstein condensation, just to name a few.
