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==Overview==
==Overview==
* Primitive variable pipe flow code for incompressible flow.
* Primitive variable pipe flow code for incompressible flow.
* Second order predictor-corrector method. Influence matrix corrects boundary conditions to machine precision.
* Double-Fourier (theta,z) + finite difference (r).
* Double-Fourier (theta,z) + finite difference (r)
* PPE formulation; influence matrix corrects boundary conditions to machine precision.
* Second-order predictor-corrector method, automatic timestep control. 
* Serial or parallel (with MPI).
* Serial or parallel (with MPI).
* Parallelised by radius (at present).
* Fortran 90, uses modules and derived types, no esoteric extensions.
* Fortran 90, uses modules and derived types, no esoteric extensions.
* Core program <3000 lines.
* Core program <3000 lines.

Revision as of 13:35, 14 July 2014

Overview

  • Primitive variable pipe flow code for incompressible flow.
  • Double-Fourier (theta,z) + finite difference (r).
  • PPE formulation; influence matrix corrects boundary conditions to machine precision.
  • Second-order predictor-corrector method, automatic timestep control.
  • Serial or parallel (with MPI).
  • Fortran 90, uses modules and derived types, no esoteric extensions.
  • Core program <3000 lines.

Version 1.02b

  • documentation online pdf
  • tarball

Citation

  • In talks:
               openpipeflow.org
  • In articles:
               1) URL above if possible and
               2) "based on code described in \cite{WK09}."
                  @article{WK09,
                       Author = {A. P. Willis and R. R. Kerswell},
                       Year = {2009},
                       Title = {Turbulent dynamics of pipe flow captured in a
                               reduced model: puff relaminarisation and
                               localised `edge' states},
                       Journal = {J.\ Fluid Mech.},
                       Volume = {619},
                       Pages = {213-233}  }

Author

Ashley P. Willis,
School of Mathematics and Statistics,
University of Sheffield,
South Yorkshire,
S3 7RH,
U.K.
a.p.willis/at/sheffield.ac.uk