Main Page

Slow streaks (blue) and vortex structures (yellow)

Overview

• Primitive-variable pipe-flow code for incompressible flow.
• Highly efficient, may be run serial or parallel (if MPI present).
• Readable 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.

Aims

• To facilitate rapid entry into the world of numerical simulation and fluid dynamics.
• To provide flexible modules for more the use and development of advanced techniques in research.

Manual, FAQ and Discussion

Please see the links on the left.

Database

The Database provides sample parameters and initial conditions from which to launch new simulations. In general, simulations start most reliably from an initial state computed for similar parameters. A range of starting points are provided.

Version 1.02b

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

Features to appear/wishlist

• Utilities for Krylov methods -- Newton-Krylov, Arnoldi.
• Module for the immersed boundary method (IBM).

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.