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FiPy is a Finite Volume PDE solver written in Python

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Overview

.. only:: latex

   :term:`FiPy` is an object oriented, partial differential equation (PDE)
   solver, written in :term:`Python`, based on a standard finite volume
   (FV) approach. The framework has been developed in the Materials Science
   and Engineering Division (MSED_) and Center for Theoretical and
   Computational Materials Science (CTCMS_), in the Material Measurement
   Laboratory (MML_) at the National Institute of Standards and Technology
   (NIST_).

   The solution of coupled sets of PDEs is ubiquitous to the numerical
   simulation of science problems.  Numerous PDE solvers exist, using a
   variety of languages and numerical approaches. Many are proprietary,
   expensive and difficult to customize.  As a result, scientists spend
   considerable resources repeatedly developing limited tools for
   specific problems.  Our approach, combining the FV method and :term:`Python`,
   provides a tool that is extensible, powerful and freely available. A
   significant advantage to :term:`Python` is the existing suite of tools for
   array calculations, sparse matrices and data rendering.

GitHub gitter TravisCI PyPi Codacy Depsy OpenHub CondaForge Binder

The :term:`FiPy` framework includes terms for transient diffusion, convection and standard sources, enabling the solution of arbitrary combinations of coupled elliptic, hyperbolic and parabolic PDEs. Currently implemented models include phase field :cite:`BoettingerReview:2002` :cite:`ChenReview:2002` :cite:`McFaddenReview:2002` treatments of polycrystalline, dendritic, and electrochemical phase transformations, as well as drug eluting stents :cite:`Saylor:2011p2794`, reactive wetting :cite:`PhysRevE.82.051601`, photovoltaics :cite:`Hangarter:2011p2795` and a level set treatment of the electrodeposition process :cite:`NIST:damascene:2001`.

.. only:: latex

   The latest information about :term:`FiPy` can be found at
   http://www.ctcms.nist.gov/fipy/.

Even if you don't read manuals...

...please read :ref:`INSTALLATION`, :ref:`USAGE` and :ref:`FAQ`, as well as :mod:`examples.diffusion.mesh1D`.

What's new in version |release|?

The significant changes since version 3.0 are:

Tickets fixed in this release:

62  "Move 'ImplicitDiffusionTerm().solve(var) == 0' ""failure"" from examples.phase.simple to examples.diffusion.mesh1D?"
118 subscriber()._markStale() AttributeError
138 `numerix.dot` doesn't support tensors
143 "Trying to ""solve"" an integer `CellVariable` should raise an error"
195 broken arithmetic face to cell distance calculations
197 ~binOp doesn't work on branches/version-2_0
305 add rhie chow correction term in stokes cavity example
321 Windows interactive plotting mostly broken
324 --pysparse configuration should never attempt MPI imports
341 Fix fipy.terms._BinaryTerm test failure in parallel
365 Rename GridXD
368 Error adding meshes
370 Epetra Norm2 failure in parallel
383 move FiPy to distributed version control
385 `diffusionTerm._test()` requires PySparse
391 efficiency_test chokes on liquidVapor2D.py
432 LSMLIB refactor
441 Explicit convetion terms should fail when the equation has no TransientTerm (dt=None)
445 getFaceCenters() should return a FaceVariable
448 Gmsh2D does not respect background mesh
452 Gmsh background mesh doesn't work in parallel
453 faceValue as FaceCenters gives inline failures
454 Assorted errors
456 Web page links seem to be broken
457 Make the citation links go to the DOI links
460 Clean up interaction between dependencies and installation process
461 SvnToGit clean up
462 Fix for test failures on loki
465 sign issues for equation with transient, convection and implicit terms
466 "multiplying equation by ""x"" changes the solution"
469 text in source:trunk/examples/convection/source.py is out of date
470 Include mailing list activity frame on front page
473 Gmsh importer can't read mesh elements with no tags
475 getVersion() fails on Py3k
477 Update Ohloh to point at git repo
480 link to mailing list is wrong
481 constrain should return a handle to the constraint for later deletion
484 NIST CSS changed
486 Using `Popen('gmsh ...', shell=True)` rather than `shell=False` security danger
490 Parallel bug in non-uniform grids and conflicting mesh class and factory function names
491 Rename communicator instances
492 unOps can't be pickled
493 Change documentation to promote use of stackoverflow
494 Viewers don't inline well in IPython notebook
496 FIPY_DISPLAY_MATRIX is broken
497 examples/phase/binary.py has problems
513 convection problem with cylindrical grid
539 Bug with numpy 1.7.0
557 NumPy 1.7.0 doesn't have _formatInteger
564 VanLeerConvectionTerm MinMod slope limiter is broken
638 numpy 1.7.1 test failures with physicalField.py
639 Neumann boundary conditions not clearly documented
641 Add support for Matplotlib streamplot
648 Peclet inequalities have the wrong sign
650 CylindricalNonUniformGrid2D doesn't make a FaceVariable for exteriorFaces
652 Documentation change for Ubuntu install
653 enable google analytics
654 Switch to sphinxcontrib-bibtex
655 Home page needs out-of-NIST redirects

Warning

:term:`FiPy` 3 brought unavoidable syntax changes from :term:`FiPy` 2. Please see :mod:`examples.updating.update2_0to3_0` for guidance on the changes that you will need to make to your :term:`FiPy` 2.x scripts.

Download and Installation

Please refer to :ref:`INSTALLATION` for details on download and installation. :term:`FiPy` can be redistributed and/or modified freely, provided that any derivative works bear some notice that they are derived from it, and any modified versions bear some notice that they have been modified.

Support

You can communicate with the :term:`FiPy` developers and with other users via our mailing list and we welcome you to use the issue tracker for bugs, support requests, feature requests and patch submissions <https://github.com/usnistgov/fipy/issues>. We also monitor StackOverflow for questions tagged with "fipy". We welcome collaborative efforts on this project.

.. toctree::

   documentation/MAIL

Conventions and Notation

:term:`FiPy` is driven by :term:`Python` script files than you can view or modify in any text editor. :term:`FiPy` sessions are invoked from a command-line shell, such as :command:`tcsh` or :command:`bash`.

Throughout, text to be typed at the keyboard will appear like this. Commands to be issued from an interactive shell will appear:

$ like this

where you would enter the text ("like this") following the shell prompt, denoted by "$".

Text blocks of the form:

>>> a = 3 * 4
>>> a
12
>>> if a == 12:
...     print "a is twelve"
...
a is twelve

are intended to indicate an interactive session in the :term:`Python` interpreter. We will refer to these as "interactive sessions" or as "doctest blocks". The text ">>>" at the beginning of a line denotes the primary prompt, calling for input of a :term:`Python` command. The text "..." denotes the secondary prompt, which calls for input that continues from the line above, when required by :term:`Python` syntax. All remaining lines, which begin at the left margin, denote output from the :term:`Python` interpreter. In all cases, the prompt is supplied by the :term:`Python` interpreter and should not be typed by you.

Warning

:term:`Python` is sensitive to indentation and care should be taken to enter text exactly as it appears in the examples.

When references are made to file system paths, it is assumed that the current working directory is the :term:`FiPy` distribution directory, refered to as the "base directory", such that:

examples/diffusion/steadyState/mesh1D.py

will correspond to, e.g.:

/some/where/FiPy-X.Y/examples/diffusion/steadyState/mesh1D.py

Paths will always be rendered using POSIX conventions (path elements separated by "/"). Any references of the form:

examples.diffusion.steadyState.mesh1D

are in the :term:`Python` module notation and correspond to the equivalent POSIX path given above.

We may at times use a

Note

to indicate something that may be of interest

or a

Warning

to indicate something that could cause serious problems.

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FiPy is a Finite Volume PDE solver written in Python

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