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Analysis of 2D Turbulence in a Taylor-Couette Flow

This work deals with the simulation of a 2D turbulence in Taylor-Couette flows. We investigate if a laminar flow acts as a global attractor in 2D for large Reynolds number, or do other stable states exist. Since in case of channel flows, the laminar flow seems to be a global attractor, the question is if shear flows themselves show such behavior in curved geometries. While working, another interesting physical observation was made about the non-monotonic relaxation to the laminar flow: Starting from values significantly higher than laminar, the total kinetic energy decreases to a lesser value and then grows back to give the laminar flow. This phenomenon is studied in some detail and a possible reason for this is then examined. The work also investigatesthe creation and destruction of vortices inside the domain and draws observations based on the sign of the vortices relative to the vorticity of the laminar flow. Since the creation and subsequent death of turbulence is a very interesting observation and can only be seen in 2D, it is studied extensively.