Reaction-Diffusion Simulations for Multiply-Waisted Hourglass Geometries

In previous work, the Reaction-Diffusion model \footnote{H. Riecke and H.-G. Paap, Europhys. Lett. \textbf{14}, 1235 (1991).} correctly predicted a period doubling cascade to chaos in Taylor-Couette flow with hourglass geometry\footnote{Richard J. Wiener \textit{et al}, Phys. Rev. E \textbf{55}, 5489 (1997).}. Our current calculations apply the model to Taylor-Couette flow in a cylindrical geometry with multiple waists of super-critical flow connected by regions of barely super-critical flow. We compare our results to the findings of an ongoing experimental program.