The Principia Machina/Tools/FiPy: Difference between revisions
DeltaS Zero (talk | contribs) References added: the tool's citation as its project asks, each checked 2026-10-06; the survey's text unchanged (tpm_toolkit 0.1.1) |
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'''FiPy: Finite Volume Phase-Field & Conservation PDE Solver''' | '''FiPy: Finite Volume Phase-Field & Conservation PDE Solver''' | ||
[[Category:Principia Machina]] [[Category:Tools]] | [[Category:Principia Machina]] [[Category:Tools]] | ||
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''Added on 2026-10-06 by the [[The Principia Machina/Research Toolkit|Research Toolkit]]: the tool's citations, each checked against the registry or the project's own page that day. The text above is the survey's own.'' | ''Added on 2026-10-06 by the [[The Principia Machina/Research Toolkit|Research Toolkit]]: the tool's citations, each checked against the registry or the project's own page that day. The text above is the survey's own.'' | ||
* '''[[The Principia Machina/Research Toolkit/Bibliography#FIPY09|FIPY09]]''' – Guyer, J. E., Wheeler, D., Warren, J. A. (2009). FiPy: Partial Differential Equations with Python. Computing in Science & Engineering 11(3), 6–15. [https://doi.org/10.1109/MCSE.2009.52 doi:10.1109/MCSE.2009.52]. | * '''[[The Principia Machina/Research Toolkit/Bibliography#FIPY09|FIPY09]]''' – Guyer, J. E., Wheeler, D., Warren, J. A. (2009). FiPy: Partial Differential Equations with Python. Computing in Science & Engineering 11(3), 6–15. [https://doi.org/10.1109/MCSE.2009.52 doi:10.1109/MCSE.2009.52]. | ||
Latest revision as of 19:34, 15 October 2026
FiPy: Finite Volume Phase-Field & Conservation PDE Solver
Overview & Architectural Fit
FiPy is an open-source, object-oriented finite volume PDE solver developed in Python by the National Institute of Standards and Technology (NIST). It is engineered specifically for coupled, non-linear partial differential equations, phase-field models, and advection-diffusion-reaction dynamics.
Mathematical Evaluation for TPM & SVD
- Conservation Law Enforcement (9.0/10): By utilizing the finite volume method (FVM), FiPy guarantees strict cell-by-cell numerical conservation of physical fluxes (charge, energy, momentum), directly upholding conservation laws required by Noether's theorems.
- Implicit & Explicit Coupled Solvers: Seamlessly handles stiff coupled non-linear PDE systems through underlying linear solvers (Trilinos, SciPy, PyAMG).
- Phase-Field Mechanics: Ideal for modeling continuous vacuum state transitions, domain walls, and topological field boundaries.
Strategic Role in SVD
FiPy provides the continuous flux-conserving simulation layer for evaluating vacuum phase transitions and scalar-vector field couplings.
References
Added on 2026-10-06 by the Research Toolkit: the tool's citations, each checked against the registry or the project's own page that day. The text above is the survey's own.
- FIPY09 – Guyer, J. E., Wheeler, D., Warren, J. A. (2009). FiPy: Partial Differential Equations with Python. Computing in Science & Engineering 11(3), 6–15. doi:10.1109/MCSE.2009.52.