Main Page: Difference between revisions

From openpipeflow.org
Jump to navigation Jump to search
(5 intermediate revisions by the same user not shown)
Line 25: Line 25:
* '''[Dec 2016]''' Newton-Krylov solver.  See [[Utilities]].
* '''[Dec 2016]''' Newton-Krylov solver.  See [[Utilities]].
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.


==Manual, Tutorial, FAQ==
==Manual, Tutorial, FAQ==
Line 57: Line 58:


==Citation==
==Citation==
*        [[File:TheOpenpipeflowSolver.pdf]]
'''[May 2017]''' Please cite this article: [[File:TheOpenpipeflowSolver.pdf]]
*        In articles ('''please check here for latest citation info.'''):
            e.g. "using openpipeflow.org \cite{openpipeflow}."
 
                @article{openpipeflow,
                  Author = {A. P. Willis},
                  title = "The Openpipeflow {N}avier--{S}tokes solver",
                  Year = {2017},
                  url = {http://arxiv.org/abs/1705.03838},
                }
<!--
                @TechReport{ openpipeflow,
                  author = "A.\ P.\ Willis",
                  title = "The Openpipeflow {N}avier--{S}tokes solver",
                  year = "2017",
                  publisher = "openpipeflow.org",
                  note = "{openpipeflow.org/index.php?title=File:TheOpenpipeflowSolver.pdf}",
                }
          OR
            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} 
                }
-->
*        In talks:
                openpipeflow.org


==Author==
==Author==

Revision as of 07:30, 1 June 2017

Slow streaks (blue) and vortex structures (yellow)

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