Software

FiPy: A Finite Volume PDE Solver Using Python

FiPy is an object oriented, partial differential equation (PDE) solver, written in 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 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 [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].

If you use FiPy in your research, please cite: (bibtex) (endnote) (pdf)

J. E. Guyer, D. Wheeler & J. A. Warren, "FiPy: Partial Differential Equations with Python," Computing in Science & Engineering 11(3) pp. 6—15 (2009), doi:10.1109/MCSE.2009.52, http://www.ctcms.nist.gov/fipy

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Documentation

About FiPy start here Installation how to install FiPy on different platforms FiPy Usage how to use FiPy Examples examples of usage FAQs frequently asked questions (with answers!) License terms of use

Numerical Approach background on numerical solutions to PDEs FiPy Design FilosoPhy of FiPy FiPy API reference for Python programmers Credits significant contributors Publications papers and talks about (or using) FiPy Change Log history of updates

Applications

Superconformal Electrodeposition level set treatment of "Damascene" electrodeposition

Virtual Kinetics of Materials Laboratory interactive graphical examples from Purdue University

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FiPy@GitHub

Source Code Reporting Bugs

wiki

Indices and tables

Global Module Index quick access to all modules General Index all functions, classes, terms Glossary the most important terms explained

Search Page search this documentation Complete Table of Contents lists all sections and subsections References lists of source materials

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