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Python code for solving nonlinear PDEs from modified gravity models on unbounded domains

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The femtoscope software was written as part of Hugo Lévy's PhD thesis (2021-2024). This Python code can be used to investigate different models of modified gravity within complex geometries on unbounded domains.

Conda virtual environment

It is recommended to run femtoscope on a dedicated virtual environment. The femtoscope.yml file can be used to automate the creation of a conda environment as follows:

  1. Create the environment
    >> conda env create -f femtoscope.yml
    Note that this process is likely to take several tens of minutes.
  2. Activate the new environment
    >> conda activate femtoscope
  3. Verify that the new environment was installed correctly
    >> conda env list
    and make sure femtoscope appears in the list.

note The project uses Python >= 3.9

Main dependencies

  • Python >= 3.9
  • meshio == 4.4.6 (read & write mesh files)
  • numpy < 2 (sfepy is not yet compatible with numpy 2.x)
  • pandas >= 1.5.3
  • pyevtk (creation of .vtk files)
  • pyvista (visualization of FEM results)
  • scipy
  • sfepy >= 2024.3 (FEM engine)
  • pdoc >= 14.5.1 (patch against polyfill.io malicious CDN)
  • gmsh == 4.11.1 (some features of femtoscope are broken in newer versions)

Tree structure

├───data		# I/O files
│   ├───mesh
│   │   └───geo
│   ├───model
│   ├───result
│   └───tmp
│
├───doc
│
├───femtoscope
│   ├───core	# weak form representation & solvers
│   ├───display
│   ├───inout	# mesh & VTK generation
│   ├───misc
│   ├───physics	# Poisson & Chameleon classes	
│   ├───tests	# unit & integration tests
│
├───images
│
├───script		# Examples
│
└───tutorials	# hands-on notebooks

UML Diagram

Citing

If you would like to cite femtoscope in a paper or presentation, please use the following reference:

@article{hlevy:femtoscope,
	doi = {10.1103/PhysRevD.106.124021},
	url = {https://link.aps.org/doi/10.1103/PhysRevD.106.124021},
	author = {Lévy, Hugo and Bergé, Joël and Uzan, Jean-Philippe},
	title = {Solving nonlinear Klein-Gordon equations on unbounded domains via
	the Finite Element Method},
	month = {09},
	year = {2022}
}

Generate documentation

The documentation is generated using pdoc by running the Python script "generate_documentation.py" located in the "script" directory. Additional information about femtoscope can be found in Hugo Lévy's PhD thesis, chapter 4.

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Python code for solving nonlinear PDEs from modified gravity models on unbounded domains

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