Complex transition to chaotic flow in a periodic array of cylinders
- Cite this article as:
- Fortin, A., Fortin, M. & Gervais, J.J. Theoret. Comput. Fluid Dynamics (1991) 3: 79. doi:10.1007/BF00271618
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This paper presents a numerical study of the transition to chaos of the flow of a Newtonian fluid in a periodic array of cylinders between two parallel walls. Using tools from dynamical system theory, we identify and characterize the different solutions to the Navier-Stokes equations at different values of the Reynolds number. We show that a very complex transition to chaos occurs for this problem where we first observe two incommensurate frequencies and then a frequency locking followed by a few period doublings following Feigenbaum's route to turbulence.