Easy Reduced Basis method
Switch branches/tags
Nothing to show
Clone or download
Fetching latest commit…
Cannot retrieve the latest commit at this time.
Failed to load latest commit information.


Python Dynamic Mode Decomposition

JOSS DOI Software License PyPI version Build Status Coverage Status

EZyRB: Easy Reduced Basis method

Table of contents


EZyRB is a python library for the Model Order Reduction based on baricentric triangulation for the selection of the parameter points and on Proper Orthogonal Decomposition for the selection of the modes. It is ideally suited for actual industrial problems, since its structure can interact with several simulation software simply providing the output file of the simulations. Up to now, it handles files in the vtk and mat formats. It has been used for the model order reduction of problems solved with matlab and openFOAM.

See the Examples section below and the Tutorials to have an idea of the potential of this package.

Dependencies and installation

EZyRB requires numpy, scipy, matplotlib, vtk, nose (for local test) and sphinx (to generate the documentation). The code is compatible with Python 2.7. It can be installed using pip or directly from the source code.

Installing via PIP

Mac and Linux users can install pre-built binary packages using pip. To install the package just type:

> pip install ezyrb

To uninstall the package:

> pip uninstall ezyrb

Installing from source

The official distribution is on GitHub, and you can clone the repository using

> git clone https://github.com/mathLab/EZyRB

To install the package just type:

> python setup.py install

To uninstall the package you have to rerun the installation and record the installed files in order to remove them:

> python setup.py install --record installed_files.txt
> cat installed_files.txt | xargs rm -rf


EZyRB uses Sphinx for code documentation. To build the html versions of the docs simply:

> cd docs
> make html

The generated html can be found in docs/build/html. Open up the index.html you find there to browse.


We are using Travis CI for continuous intergration testing. You can check out the current status here.

To run tests locally:

> python test.py


You can find useful tutorials on how to use the package in the tutorials folder. Here we show an application taken from the automotive engineering field

The first POD modes of the pressure field on the DrivAer model.

DrivAer model online evaluation: pressure (left) and wall shear stress (right) fields and errors.

How to cite

If you use this package in your publications please cite the package as follows:

Demo et al., (2018). EZyRB: Easy Reduced Basis method. Journal of Open Source Software, 3(24), 661, https://doi.org/10.21105/joss.00661

Or if you use LaTeX:

  Author = {Demo, Nicola and Tezzele, Marco and Rozza, Gianluigi},
  Title = {{EZyRB: Easy Reduced Basis method}},
  Journal = {The Journal of Open Source Software},
  Volume = {3},
  Number = {24},
  Pages = {661},
  Year = {2018},
  Doi = {https://doi.org/10.21105/joss.00661}

Recent works with EZyRB

Here there is a list of the scientific works involving EZyRB you can consult and/or cite. If you want to add one, please open a PR.

  • Salmoiraghi, Scardigli, Telib, Rozza. Free Form Deformation, mesh morphing and reduced order methods: enablers for efficient aerodynamic shape optimization. 2018. [arXiv].

  • Demo, Tezzele, Gustin, Lavini, Rozza. Shape optimization by means of proper orthogonal decomposition and dynamic mode decomposition. In Technology and Science for the Ships of the Future: Proceedings of NAV 2018: 19th International Conference on Ship & Maritime Research, 2018. [DOI] [arXiv].

Authors and contributors

EZyRB is currently developed and mantained at SISSA mathLab by

under the supervision of Prof. Gianluigi Rozza. We thank Filippo Salmoiraghi for the original idea behind this package and the major contributions.

Contact us by email for further information or questions about EZyRB, or suggest pull requests. EZyRB is at an early development stage, so contributions improving either the code or the documentation are welcome!

How to contribute

We'd love to accept your patches and contributions to this project. There are just a few small guidelines you need to follow.

Submitting a patch

  1. It's generally best to start by opening a new issue describing the bug or feature you're intending to fix. Even if you think it's relatively minor, it's helpful to know what people are working on. Mention in the initial issue that you are planning to work on that bug or feature so that it can be assigned to you.

  2. Follow the normal process of forking the project, and setup a new branch to work in. It's important that each group of changes be done in separate branches in order to ensure that a pull request only includes the commits related to that bug or feature.

  3. To ensure properly formatted code, please make sure to use 4 spaces to indent the code. The easy way is to run on your bash the provided script: ./code_formatter.sh. You should also run pylint over your code. It's not strictly necessary that your code be completely "lint-free", but this will help you find common style issues.

  4. Any significant changes should almost always be accompanied by tests. The project already has good test coverage, so look at some of the existing tests if you're unsure how to go about it. We're using coveralls that is an invaluable tools for seeing which parts of your code aren't being exercised by your tests.

  5. Do your best to have well-formed commit messages for each change. This provides consistency throughout the project, and ensures that commit messages are able to be formatted properly by various git tools.

  6. Finally, push the commits to your fork and submit a pull request. Please, remember to rebase properly in order to maintain a clean, linear git history.


See the LICENSE file for license rights and limitations (MIT).