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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 `Metallurgy Division`_ and Center for Theoretical and Computational Materials Science (CTCMS_), in the Materials Science and Engineering Laboratory (MSEL_) 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. 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 [BoettingerReview:2002]_ [ChenReview:2002]_ [McFaddenReview:2002]_ treatments of polycrystalline, dendritic, and electrochemical phase transformations as well as a level set treatment of the electrodeposition process [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` and the :ref:`FAQ`. -------------------------------- What's new in version |release|? -------------------------------- The relatively small change in version number belies significant advances in :term:`FiPy` capabilities. This release did not receive a "full" version increment because it is completely (er... [#almost]_) compatible with older scripts. The significant changes since version 2.0.2 are: - :term:`FiPy` can use :term:`Trilinos` for `solving in parallel`_. - We have switched from :term:`MayaVi` 1 to :term:`Mayavi` 2. This :class:`~fipy.viewers.viewer.Viewer` is an independent process that allows interaction with the display while a simulation is running. - Documentation has been switched to :term:`Sphinx`, allowing the entire manual to be available on the web and for our documentation to link to the documentation for packages such as :mod:`numpy`, :mod:`scipy`, :mod:`matplotlib`, and for :term:`Python` itself. Tickets fixed in this release:: 171 update the mayavi viewer to use mayavi 2 286 'matplotlib: list index out of range' when no title given, but only sometimes 197 ~binOp doesn't work on branches/version-2_0 194 `easy_install` instructions for MacOSX are broken 192 broken setuptools url with python 2.6 184 The FiPy webpage seems to be broken on Internet Explorer 168 Switch documentation to use `:math:` directive 198 FiPy2.0.2 LinearJORSolver.__init__ calls Solver rather than PysparseSolver 199 `gmshExport.exportAsMesh()` doesn't work 195 broken arithmetic face to cell distance calculations .. warning:: :term:`FiPy` 2 brought unavoidable syntax changes from :term:`FiPy` 1. Please see :mod:`examples.updating.update1_0to2_0` for guidance on the changes that you will need to make to your :term:`FiPy` 1.x scripts. Few, if any, changes should be needed to migrate from :term:`FiPy` 2.0.x to :term:`FiPy` 2.1. ------------------------- 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 `tracking system`_ for bugs, support requests, feature requests and patch submissions <http://matforge.org/fipy/report>. We welcome collaborative efforts on this project. :term:`FiPy` is a member of MatForge_, a project of the `Materials Digital Library Pathway`_. This National Science Foundation funded service provides management of our public source code repository, our bug tracking system, and a "wiki" space for public contributions of code snippets, discussions, and tutorials. .. 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. .. _PARALLEL: ------------------- Solving in Parallel ------------------- :term:`FiPy` can use :term:`Trilinos` to solve equations in parallel, as long as they are defined on a "``Grid``" mesh (:class:`~fipy.meshes.numMesh.grid1D.Grid1D`, :class:`~fipy.meshes.numMesh.cylindricalGrid1D.CylindricalGrid1D`, :class:`~fipy.meshes.numMesh.grid2D.Grid2D`, :class:`~fipy.meshes.numMesh.cylindricalGrid2D.CylindricalGrid2D`, or :class:`~fipy.meshes.numMesh.grid3D.Grid3D`). .. attention:: :term:`Trilinos` *must* be compiled with MPI support. .. attention:: :term:`FiPy` requires `mpi4py <http://mpi4py.scipy.org/>`_ to work in parallel:: $ easy_install mpi4py .. note:: A design wart presently *also* requires that :term:`PySparse` be installed. We hope to alleviate this requirement in a future release. * It should not generally be necessary to change anything in your script. s Simply invoke:: $ mpirun -np {# of processors} python myScript.py instead of:: $ python myScript.py * To confirm that :term:`FiPy` and :term:`Trilinos` are properly configured to solve in parallel, you can execute .. code-block:: python from fipy import parallel, Grid1D mesh = Grid1D(nx=10) print "%d cells on processor %d of %d" \ % (mesh.getNumberOfCells(), parallel.procID, parallel.Nproc) (available as :file:`examples/parallel.py`) to check that :term:`FiPy` is distributing a mesh across processes as expected. E.g.:: $ mpirun -np 3 python examples/parallel.py should print out:: 5 cells on processor 0 of 3 7 cells on processor 1 of 3 6 cells on processor 2 of 3 A complete list of the changes to FiPy's examples needed for parallel can be found at http://www.matforge.org/fipy/wiki/upgrade2_0examplesTo2_1 Most of the changes were required to ensure that :term:`FiPy` provides the same literal output for both single and multiple processor solutions and are not relevant to most "real" scripts. The two changes you *might* wish to make to your own scripts are: * It is now preferable to use the :class:`~fipy.solvers.DefaultAssymetricSolver` instead of the :class:`~fipy.solvers.linearLUSolver.LinearLUSolver`. * When solving in parallel, :term:`FiPy` essentially breaks the problem up into separate sub-domains and solves them (somewhat) independently. :term:`FiPy` generally "does the right thing", but if you find that you need to do something with the entire solution, you can call ``var.``:meth:`~fipy.variables.cellVariable.CellVariable.getGlobalValue`. .. [#almost] Only two examples from :term:`FiPy` 2.0 fail when run with :term:`FiPy` 2.1: * :mod:`examples.phase.symmetry` fails because :class:`~fipy.meshes.numMesh.mesh.Mesh` no longer provides a :meth:`~fipy.meshes.numMesh.mesh.Mesh.getCells` method. The mechanism for enforcing symmetry in the updated example is both clearer and faster. * :mod:`examples.levelSet.distanceFunction.circle` fails because of a change in the comparison of masked values. Both of these are subtle issues unlikely to affect very many :term:`FiPy` users. .. _MSEL: http://www.msel.nist.gov/ .. _CTCMS: http://www.ctcms.nist.gov/ .. _Metallurgy Division: http://www.metallurgy.nist.gov/ .. _NIST: http://www.nist.gov/ .. _Subversion: http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://matforge.org/fipy/browser .. _compressed archive: http://www.ctcms.nist.gov/fipy/download/FiPy-1.1.tar.gz .. _tracking system: http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://matforge.org/fipy/report .. _mailing list: http://www.ctcms.nist.gov/fipy/mail.html .. _Sourceforge: http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.sourceforge.net/projects/fipy .. _Materials Digital Library Pathway: http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://matdl.org .. _MatForge: http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://matforge.org/
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