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[[File:OpenPFlogo1.png|thumb|right|Slow streaks (blue) and vortex structures (yellow)]]
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==== Quicklinks ====
[[Download]] | [[Manual]] | [[Tutorial]] | [[Database]] | [[Related Codes]]


==Overview==
==Overview==
'''openpipeflow.org is a free resource for researchers, engineers, educators and the interested public.'''
'''openpipeflow.org is a free resource for researchers, engineers, educators and the interested public.'''


The cylindrical pipe is a conveniently simple set up, and the flow of fluid through a pipe exhibits rich chaotic dynamics.
Pipe flow is a simple and familiar set up, yet the flow patterns exhibit [[Fun_stuff|rich chaotic dynamics]]. This provides a setting for investigating the principles of simulation at one level, and at another, for developing new methods designed to probe fundamental properties of dynamical systems.   
It provides a setting both for investigation of the principles of simulation, and for methods designed to probe the fundamental properties of dynamical systems.   
 
The majority of mathematical techniques described on these pages are applicable to a huge range of problems, and subroutines for well-known methods are designed to be problem-independent.  The core code is designed to be flexible yet very fast.
The majority of mathematical techniques described on these pages are applicable to a huge range of problems, and [[Manual|subroutines for well-known methods]] are designed to be callable from any code.  The core [[Manual|pipe flow code]] is designed to be flexible yet very fast.  See here for [[Related Codes]].


'''Aims'''
'''Aims'''
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* Primitive-variable pipe-flow code for incompressible flow.
* Primitive-variable pipe-flow code for incompressible flow.
* Simple scripts for visualisation with Matlab/Octave/Visit.
* Simple scripts for visualisation with Matlab/Octave/Visit.
* May be run on a single core or in parallel (with MPI).  Essentially linear scaling with number of cores.
* '''[NEW July 2015]''' '2-dimensional' parallelisation, radial+axial split.
* Readable Fortran 90, uses modules and derived types, no esoteric extensions.
* Readable Fortran 90, uses modules and derived types, no esoteric extensions.
* Core program <3000 lines.
* Core program <3000 lines.
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* PPE formulation; influence matrix corrects boundary conditions to machine precision.
* PPE formulation; influence matrix corrects boundary conditions to machine precision.
* Second-order predictor-corrector method, automatic timestep control.
* Second-order predictor-corrector method, automatic timestep control.
 
* May be run on a single core or in parallel (with MPI).  Essentially linear scaling with number of cores.
==Manual, Tutorial, FAQ==
* '2-dimensional' parallelisation, radial+axial split.
Links to the [[Manual]], [[Tutorial]] and [[FAQ]] can be found on the '''left sidebar'''.
* Jacobian-Free Newton-Krylov (JFNK) solver.  Now at https://github.com/apwillis1/JFNK-Hookstep .
 
Details for the above can be found in the [[Manual]].
The [[Manual]] covers
This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context.
* setup and typical usage of the code,  
* definition of the model,
* mathematics behind the methods,
* conventions used in the code,
* description of utility codes.
 
The [[Tutorial]] guides a new user through
* setting up parameters for a job,
* monitoring a job's progress,
* simple plotting of time series from a run,
* visualisation of structures in a snapshot,
* manipulating data.
 
==Download==
Get the code [[Download|here]].


==Database==
==Database==
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==Features to appear/wishlist==
==Features to appear/wishlist==
* Utilities for Krylov methods -- Newton-Krylov, Arnoldi.
* Module for the immersed boundary method (IBM).
* Module for the immersed boundary method (IBM).
* More FAQ + documentation.
* More FAQ + documentation.
<!--
<!--
* tutorial, inc. matlab example.
* tutorial, inc. matlab example.
* Utilities for Krylov methods -- Newton-Krylov, Arnoldi.
* phys-statefiles for direct upload to matlab/visit etc.
* phys-statefiles for direct upload to matlab/visit etc.


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==Citation==
==Citation==
*        In talks:
Please cite this article: [[File:TheOpenpipeflowSolver.pdf]] ;  [[:File:TheOpenpipeflowSolver.pdf|bibtex]]
                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==
==Author==
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:      [http://www.sheffield.ac.uk/maths School of Mathematics and Statistics (SoMaS)],
:      [http://www.sheffield.ac.uk/maths School of Mathematics and Statistics (SoMaS)],
:      [http://www.sheffield.ac.uk/maths University of Sheffield, U.K.]
:      [http://www.sheffield.ac.uk/maths University of Sheffield, U.K.]
:      ashleypwillis/at/gmail.com
:      a.p.willis/at/sheffield.ac.uk


==Thanks==
==Thanks==
* John Gibson ([http://channelflow.org/gibson channelflow.org])
* John Gibson ([http://channelflow.org/gibson channelflow.org])
* Predrag Cvitanović ([http://www.cns.gatech.edu/~predrag/ GaTech] [http://chaosbook.org chaosbook.org])
* Predrag Cvitanović ([http://www.cns.gatech.edu/~predrag/ GaTech] [http://chaosbook.org chaosbook.org])
* Rich Kerswell ([http://www.maths.bris.ac.uk/~marrk/ Bristol])
* Rich Kerswell ([http://www.damtp.cam.ac.uk/user/rrk26/ Cambridge])
* many other people!
* many other people!
* EPSRC GR/S76144/01, EP/K03636X/1
* EPSRC GR/S76144/01, EP/K03636X/1
* The [http://www.sheffield.ac.uk/maths University of Sheffield].
* The [http://www.sheffield.ac.uk/maths University of Sheffield].

Latest revision as of 03:57, 7 February 2025

Slow streaks (blue) and vortex structures (yellow)

Quicklinks

Download | Manual | Tutorial | Database | Related Codes

Overview

openpipeflow.org is a free resource for researchers, engineers, educators and the interested public.

Pipe flow is a simple and familiar set up, yet the flow patterns exhibit rich chaotic dynamics. This provides a setting for investigating the principles of simulation at one level, and at another, for developing new methods designed to probe fundamental properties of dynamical systems.

The majority of mathematical techniques described on these pages are applicable to a huge range of problems, and subroutines for well-known methods are designed to be callable from any code. The core pipe flow code is designed to be flexible yet very fast. See here for Related Codes.

Aims

  • To make accessible a range of modelling techniques.
  • 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.

Code features

  • Primitive-variable pipe-flow code for incompressible flow.
  • Simple scripts for visualisation with Matlab/Octave/Visit.
  • Readable Fortran 90, uses modules and derived types, no esoteric extensions.
  • Core program <3000 lines.
  • Spatial discretisation: 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.
  • May be run on a single core or in parallel (with MPI). Essentially linear scaling with number of cores.
  • '2-dimensional' parallelisation, radial+axial split.
  • Jacobian-Free Newton-Krylov (JFNK) solver. Now at https://github.com/apwillis1/JFNK-Hookstep .

Details for the above can be found in the Manual. This article, File:TheOpenpipeflowSolver.pdf, provides an overview of the code and its context.

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.

Features to appear/wishlist

  • Module for the immersed boundary method (IBM).
  • More FAQ + documentation.

Citation

Please cite this article: File:TheOpenpipeflowSolver.pdf ; bibtex

Author

Ashley P. Willis,
School of Mathematics and Statistics (SoMaS),
University of Sheffield, U.K.
a.p.willis/at/sheffield.ac.uk

Thanks

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