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* '''Files may be loaded with with different parameter settings'''.  If there is a change in resolution, data will be interpolated or truncated automatically.
* '''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 <tt>matlab/Readme.txt</tt> supplied with the code.
* '''For visualisation, data needs converting to real space'''.  See comments in the file <tt>matlab/Readme.txt</tt> supplied with the code.
* '''The state file contains positions of radial points and Fourier spectral coefficients of the velocity perturbation evaluated at the radial points'''.  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]].


To unpack
To unpack
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==Relative Periodic Orbits==
==Relative Periodic Orbits==
* Localised RPO, Lower Branch, Re=1712, m=2, alpha=0.125 (L=25D) [[File:Re1712.m2.RPO_LB.a0.125.tgz]]
* Localised RPO, Lower Branch, Re=1712, m=2, alpha=0.125 (L=25D) [[File:Re1712.m2.RPO_LB.a0.125.tgz]]; Avila, Mellibovsky, Roland and Hof (2013); Chantry, Willis and Kerswell (2014).
* Localised RPO, Upper Branch, Re=1700, m=2, alpha=0.125 (L=25D) [[File:Re1700.m2.RPO_UB.a0.125.tgz]]
* Localised RPO, Upper Branch, Re=1700, m=2, alpha=0.125 (L=25D) [[File:Re1700.m2.RPO_UB.a0.125.tgz]]
* Short-period RPO in minimal pipe, Re=2500, m=4, alpha=1.7 [[File:Re2500m4a1.7.RPO25.65.tgz]]
* Short-period RPO in minimal pipe, Re=2500, m=4, alpha=1.7 [[File:Re2500m4a1.7.RPO25.65.tgz]]; Budanur, Short, Farazmand, Willis and Cvitanovic (2017).

Revision as of 08:33, 27 February 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.
  • For visualisation, data needs converting to real space. See comments in the file matlab/Readme.txt supplied with the code.
  • The state file contains positions of radial points and Fourier spectral coefficients of the velocity perturbation evaluated at the radial points. 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.

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