FiPyfipy¶
An object oriented, partial differential equation (PDE) solver
FiPy is 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 Python, provides a tool that is extensible, powerful and freely available. A significant advantage to Python is the existing suite of tools for array calculations, sparse matrices and data rendering.
The 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 [1] [2] [3] treatments of polycrystalline, dendritic, and electrochemical phase transformations, as well as drug eluting stents [4], reactive wetting [5], photovoltaics [6] and a level set treatment of the electrodeposition process [7].
Functions
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Replacement for raw_input() that works in doctests |
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Test Fipy. Equivalent to::. |
- fipy.doctest_raw_input(prompt)¶
Replacement for raw_input() that works in doctests
This routine attempts to be savvy about running in parallel.
- fipy.test(*args)¶
Test Fipy. Equivalent to:
$ python setup.py test --modules
Use
>>> import fipy >>> fipy.test('--help')
for a full list of options. Options can be passed in the same way as they are appended at the command line. For example, to test FiPy with Trilinos and inlining switched on, use
>>> fipy.test('--trilinos', '--inline')
At the command line this would be:
$ python setup.py test --modules --trilinos --inline
Modules
Boundary conditions |
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Sparse matrices |
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Domain geometry and topology |
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Solving sparse linear systems |
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(Obsolete) utilities for iterating time steps |
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Discretizations of partial differential equation expressions |
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Test suite for FiPy modules |
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Unit testing scripts |
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Utility modules, functions, and values |
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Collections of values supporting lazy evaluation |
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Tools for displaying the values of |