Main Page: Difference between revisions
m (→Overview) |
m (→Citation) |
||
(45 intermediate revisions by the same user not shown) | |||
Line 4: | Line 4: | ||
'''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.''' | ||
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. | |||
The majority of mathematical techniques described on these pages are applicable to a huge range of problems | |||
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. | |||
well-known methods are designed to be | |||
'''Aims''' | '''Aims''' | ||
Line 17: | Line 16: | ||
* 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. | ||
* 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. | ||
Line 24: | Line 21: | ||
* 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. | |||
* '''[July 2015]''' '2-dimensional' parallelisation, radial+axial split. | |||
* '''[Dec 2016]''' Newton-Krylov solver. See [[Utilities]]. | |||
Details for the above can be found in the [[Manual]]. | |||
This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context. | |||
==Manual, Tutorial, FAQ== | ==Manual, Tutorial, FAQ== | ||
See '''left sidebar''' for links to the [[Manual]], [[Tutorial]] and [[FAQ]]. | |||
==Download== | ==Download== | ||
Get the code [[Download|here]]! | |||
==Database== | ==Database== | ||
Line 49: | Line 37: | ||
==Features to appear/wishlist== | ==Features to appear/wishlist== | ||
* Module for the immersed boundary method (IBM). | * Module for the immersed boundary method (IBM). | ||
* FAQ. | * 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. | ||
==Related codes== | ==Related codes== | ||
Line 71: | Line 58: | ||
==Citation== | ==Citation== | ||
'''[May 2017]''' Please cite this article: [[File:TheOpenpipeflowSolver.pdf]] | |||
==Author== | ==Author== | ||
: [http://maths.dept.shef.ac.uk/maths/staff_info_402.html Ashley P. Willis], | : [http://maths.dept.shef.ac.uk/maths/staff_info_402.html Ashley P. Willis], | ||
: School of Mathematics and Statistics (SoMaS), | : [http://www.sheffield.ac.uk/maths School of Mathematics and Statistics (SoMaS)], | ||
: University of Sheffield, U.K. | : [http://www.sheffield.ac.uk/maths University of Sheffield, U.K.] | ||
: ashleypwillis/at/gmail.com | : ashleypwillis/at/gmail.com | ||
Line 97: | Line 72: | ||
* 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]. |
Revision as of 07:30, 1 June 2017
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.
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.
- [July 2015] '2-dimensional' parallelisation, radial+axial split.
- [Dec 2016] Newton-Krylov solver. See Utilities.
Details for the above can be found in the Manual. This article, File:TheOpenpipeflowSolver.pdf, provides an overview of the code and its context.
Manual, Tutorial, FAQ
See left sidebar for links to the Manual, Tutorial and FAQ.
Download
Get the code here!
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
[May 2017] Please cite this article: File:TheOpenpipeflowSolver.pdf
Author
- Ashley P. Willis,
- School of Mathematics and Statistics (SoMaS),
- University of Sheffield, U.K.
- ashleypwillis/at/gmail.com
Thanks
- John Gibson (channelflow.org)
- Predrag Cvitanović (GaTech chaosbook.org)
- Rich Kerswell (Bristol)
- many other people!
- EPSRC GR/S76144/01, EP/K03636X/1
- The University of Sheffield.