publication . Preprint . 2016

Exact coherent states for grooved Couette flows

Vadarevu, Sabarish; Sharma, Ati; Ganapathisubramani, Bharathram;
Open Access English
  • Published: 22 Dec 2016
Abstract
Recent progress indicates that highly symmetric recurring solutions of the Navier-Stokes equations, such as equilibria and periodic orbits, provide a skeleton for turbulence dynamics in state-space. Many of these solutions have been found for flat-walled plane Couette, channel, and pipe flows. Rough-walled flows are of great practical significance, yet no recurring solutions are known for these flows. We present a numerical homotopy method to continue solutions from flat-walled plane Couette flow (PCF) to grooved PCF, demonstrated here at a Reynolds number of 400, to act as a starting point for similar continuation to rough-walled flows. Loss of spanwise homogen...
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: Physics - Fluid Dynamics
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27 references, page 1 of 2

∗ sbv1g13@soton.ac.uk † A.Sharma@soton.ac.uk; http://www.atisharma.info ‡ G.Bharath@soton.ac.uk; http://www.bharath-lab.org/

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