references

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*Recurrent motions within plane Couette turbulence,*J. Fluid Mech. 580 (2007), arXiv:/physics/0604062

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*Recurrent motions within plane Couette turbulence*J. Fluid Mech. 580 (2007) [arXiv:/physics/0604062]. A novel combination of the Newton-hookstep trust-region minimization algorithm with the GMRES algorithm for iterative solution of high-dimensional linear algebra problems. First computation of relative periodic orbits of plane Couette flow, using a CFD algorithm to evaluate Navier-Stokes dynamics and close recurrences for initial guesses.

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*Visualizing the geometry of state space in plane Couette flow,*J. Fluid Mech. 611 (2008), [arXiv:0705.3957]. A technical exposition of the material presented in this tutorial. PDF

- J. Halcow, J.F. Gibson, P. Cvitanović, and D. Viswanath,
*Heteroclinic connections in plane Couette flow,*J. Fluid Mech. (2009) to appear. Calculation of four heteroclinic connections between unstable equilibria of plane Couette flow. PDF

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*Equilibrium and traveling waves solutions of low-Reynolds plane Couette flow,*Submitted to JFM PDF

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*Laminar-turbulent boundary in plane Couette flow*Phys. Rev. E (2008) 78, 037301 PDF

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references.txt · Last modified: 2010/02/02 07:55 (external edit)