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Slow streaks (blue) and vortex structures (yellow)

Overview

• Primitive variable pipe flow code for incompressible flow.
• Serial or parallel (with MPI).
• Fortran 90, uses modules and derived types, no esoteric extensions.
• Core program <3000 lines.
• 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.

Manual and Database

The online Manual and Database are under construction. In the database are sample initial conditions.

Version 1.02b

• Manual File:Openpipeflow-1.02b-doc.pdf
• Tarball File:Openpipeflow-1.02b.tgz

Citation

• In talks:

               openpipeflow.org

• In articles:

               e.g. "using openpipeflow.org, 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

Thanks

• John Gibson (channelflow.org)
• Predrag Cvitanović (GaTech chaosbook.org)
• Rich Kerswell (Bristol)
• and many others.