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Relative periodic orbits in transitional pipe flow

PHYSICS OF FLUIDS, no. 11 (2008): 114102

Cited: 71|Views23

Abstract

A dynamical system description of the transition process in shear flows with no linear instability starts with knowledge of exact coherent solutions, among them traveling waves (TWs) and relative periodic orbits (RPOs). We describe a numerical method to find such solutions in pipe flow and apply it in the vicinity of a Hopf bifurcation fr...More

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