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==Relative Equilibria (travelling waves)==
==Relative Equilibria (travelling waves)==
See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries.
See Pringle, Duguet and Kerswell (2009) for classification according to the [[Symmetries_of_pipe_flow]] that each solution carries.  The states feature prominently in the articles indicated below.
* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] Kerswell and Tutty (2007)
* S1, Re=2400, L=2.5D (alpha=1.25) [[File:Re2400.S1.a1.25.tgz]] Kerswell and Tutty (2007)
* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] Pringle and Kerswell (2007)
* M1, Re=775, alpha=1.437 (lowest known Re for a TW) [[File:Re775.M1.a1.437.tgz]] Pringle and Kerswell (2007)
* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  
* N2_ML, Re=2400, alpha=1.25 (and leading eigvec.) [[File:Re2400m2.a1.25_N2ML.tgz]]  
* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]
* N4L, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4L.tgz]]
* N4U, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4U.tgz]]
* N4U, Re=2500, alpha=1.7 [[File:Re2500m4a1.7.N4U.tgz]] Willis, Cvitanovic & Avila (2013)


==Relative Periodic Orbits==
==Relative Periodic Orbits==

Revision as of 04:28, 7 January 2019

Below are files that can be manipulated or used as initial conditions, state.cdf.in. A Main.info should be provided with each state file containing parameter settings.

  • Files may be loaded with with different parameter settings. If there is a change in resolution, data will be interpolated or truncated automatically.
  • The state file contains spectral coefficients of the velocity perturbation. Each component has dimension (N,H,2), where N is the number of radial points, H is the number of Fourier coefficients, and 2 corresponds to real and imaginary parts. Indices [1,H] in the state file correspond to indices [0:H-1] in the code; see Core_implementation#Ordering_the_Fourier_modes.
  • For visualisation, data needs converting to real space. See comments in the file matlab/Readme.txt supplied with the code.

To unpack

tar -xvvzf file.tgz

Sample Initial Conditions

Relative Equilibria (travelling waves)

See Pringle, Duguet and Kerswell (2009) for classification according to the Symmetries_of_pipe_flow that each solution carries. The states feature prominently in the articles indicated below.

Relative Periodic Orbits