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2025-02-07T10:57:07Z

Citation

← Older revision		Revision as of 03:57, 7 February 2025
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	==Citation==		==Citation==
	Please cite [[:File:TheOpenpipeflowSolver.pdf\|~~this article.~~]]		Please cite this article: [[File:TheOpenpipeflowSolver.pdf]] ; [[:File:TheOpenpipeflowSolver.pdf\|bibtex]]

	==Author==		==Author==

2025-02-07T10:50:56Z

Citation

← Older revision		Revision as of 03:50, 7 February 2025
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	==Citation==		==Citation==
	Please cite ~~this article:~~ [[File:TheOpenpipeflowSolver.pdf]]		Please cite [[:File:TheOpenpipeflowSolver.pdf\|this article.]]

	==Author==		==Author==

2025-01-07T13:24:07Z

Overview

← Older revision		Revision as of 06:24, 7 January 2025
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	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.		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, 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.		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'''

2025-01-07T13:22:36Z

Quicklinks

← Older revision		Revision as of 06:22, 7 January 2025
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	==== Quicklinks ====		==== Quicklinks ====
	[[Download]] \| [[Manual]] \| [[Tutorial]] \| [[Database]]		[[Download]] \| [[Manual]] \| [[Tutorial]] \| [[Database]] \| [[Related Codes]]

	==Overview==		==Overview==

2024-03-27T20:24:12Z

Author

← Older revision		Revision as of 13:24, 27 March 2024
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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==

2023-02-01T15:35:30Z

← Older revision		Revision as of 08:35, 1 February 2023
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	[[File:OpenPFlogo1.png\|thumb\|right\|Slow streaks (blue) and vortex structures (yellow)]]		[[File:OpenPFlogo1.png\|thumb\|right\|Slow streaks (blue) and vortex structures (yellow)]]
	-->		-->

			==== Quicklinks ====
			[[Download]] \| [[Manual]] \| [[Tutorial]] \| [[Database]]

	==Overview==		==Overview==
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	* May be run on a single core or in parallel (with MPI). Essentially linear scaling with number of cores.		* 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.		* '2-dimensional' parallelisation, radial+axial split.
	* Jacobian-Free Newton-Krylov (JFNK) solver. ~~See [[Newton-Krylov_method]], also~~ at [https://github.com/apwillis1/JFNK-Hookstep ~~GitHub]~~.		* Jacobian-Free Newton-Krylov (JFNK) solver. Now at https://github.com/apwillis1/JFNK-Hookstep .
	Details for the above can be found in the [[Manual]].		Details for the above can be found in the [[Manual]].
	This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context.		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 [[Download\|here]]!~~

	==Database==		==Database==

2023-02-01T11:00:34Z

← Older revision		Revision as of 04:00, 1 February 2023
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	* May be run on a single core or in parallel (with MPI). Essentially linear scaling with number of cores.		* 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.		* '2-dimensional' parallelisation, radial+axial split.
	* Jacobian-Free Newton-Krylov (JFNK) solver. See [[Newton-Krylov_method]].		* Jacobian-Free Newton-Krylov (JFNK) solver. See [[Newton-Krylov_method]], also at [https://github.com/apwillis1/JFNK-Hookstep GitHub].
	Details for the above can be found in the [[Manual]].		Details for the above can be found in the [[Manual]].
	This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context.		This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context.

2021-06-25T13:27:35Z

Citation

← Older revision		Revision as of 06:27, 25 June 2021
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	==Citation==		==Citation==
	~~'''[May 2017]'''~~ Please cite this article: [[File:TheOpenpipeflowSolver.pdf]]		Please cite this article: [[File:TheOpenpipeflowSolver.pdf]]

	==Author==		==Author==

2021-06-25T13:25:36Z

Overview

← Older revision		Revision as of 06:25, 25 June 2021
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	* 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.		* 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.		* '2-dimensional' parallelisation, radial+axial split.
	* ~~'''[Dec 2016]'''~~ Newton-Krylov solver. See [[~~Utilities~~]].		* Jacobian-Free Newton-Krylov (JFNK) solver. See [[Newton-Krylov_method]].
	Details for the above can be found in the [[Manual]].		Details for the above can be found in the [[Manual]].
	This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context.		This article, [[File:TheOpenpipeflowSolver.pdf]], provides an overview of the code and its context.

2018-01-09T14:12:10Z

Thanks

← Older revision		Revision as of 07:12, 9 January 2018
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	* 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].