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################################ Stellarator Optimization Package ################################ |License| |DOI| |Issues| |Pypi|

|Docs| |UnitTests| |RegressionTests| |Codecov|

DESC solves for and optimizes 3D MHD equilibria using pseudo-spectral numerical methods and automatic differentiation.

The theoretical approach and implementation details used by DESC are presented in the following papers and documented at Theory_. Please cite our work if you use DESC!

• Dudt, D. & Kolemen, E. (2020). DESC: A Stellarator Equilibrium Solver. [Physics of Plasmas <https://doi.org/10.1063/5.0020743>] [pdf <https://github.com/PlasmaControl/DESC/blob/master/publications/dudt2020/dudt2020desc.pdf>]
• Panici, D. et al (2023). The DESC Stellarator Code Suite Part I: Quick and accurate equilibria computations. [Journal of Plasma Physics <https://doi.org/10.1017/S0022377823000272>] [pdf <https://github.com/PlasmaControl/DESC/blob/master/publications/panici2022/Panici_DESC_Stellarator_suite_part_I_quick_accurate_equilibria.pdf>]
• Conlin, R. et al. (2023). The DESC Stellarator Code Suite Part II: Perturbation and continuation methods. [Journal of Plasma Physics <https://doi.org/10.1017/S0022377823000399>] [pdf <https://github.com/PlasmaControl/DESC/blob/master/publications/conlin2022/conlin2022perturbations.pdf>]
• Dudt, D. et al. (2023). The DESC Stellarator Code Suite Part III: Quasi-symmetry optimization. [Journal of Plasma Physics <https://doi.org/10.1017/S0022377823000235>] [pdf <https://github.com/PlasmaControl/DESC/blob/master/publications/dudt2022/dudt2022optimization.pdf>]

.. _Theory: https://desc-docs.readthedocs.io/en/latest/theory_general.html

Quick Start

The easiest way to install DESC is from PyPI: pip install desc-opt

For more detailed instructions on installing DESC and its dependencies, see Installation_.

The best place to start learning about DESC is our tutorials:

• Basic fixed boundary equilibrium_: running from a VMEC input, creating an equilibrium from scratch
• Advanced equilibrium_: continuation and perturbation methods.
• Free boundary equilibrium_: vacuum and or finite beta with external field.
• Using DESC outputs_: analysis, plotting, saving to VMEC format.
• Basic optimization_: specifying objectives, fixing degrees of freedom.
• Advanced optimization_: advanced constraints, precise quasi-symmetry, constrained optimization.
• Near axis constraints_: loading solutions from QSC/QIC and fixing near axis expansion.
• Coil optimization_: "second stage" optimization of magnetic coils.

For details on the various objectives, constraints, optimizable objects and more, see the full api documentation_.

If all you need is an equilibrium solution, the simplest method is through the command line by giving an input file specifying the equilibrium and solver options, this way can also can also accept VMEC input files.

The code is run using the syntax desc <path/to/inputfile> and the full list of command line options are given in Command Line Interface_. (Note that you may have to prepend the command with python -m)

Refer to Inputs_ for documentation on how to format the input file.

The equilibrium solution is output in a HDF5 binary file, whose format is detailed in Outputs_.

.. _Installation: https://desc-docs.readthedocs.io/en/latest/installation.html .. _Command Line Interface: https://desc-docs.readthedocs.io/en/latest/command_line.html .. _Inputs: https://desc-docs.readthedocs.io/en/latest/input.html .. _Outputs: https://desc-docs.readthedocs.io/en/latest/output.html .. _Basic fixed boundary equilibrium: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/basic_equilibrium.html .. _Advanced equilibrium: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/advanced_equilibrium_continuation.html .. _Free boundary equilibrium: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/free_boundary_equilibrium.html .. _Using DESC outputs: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/use_outputs.html .. _Basic optimization: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/basic_optimization.html .. _Advanced optimization: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/advanced_optimization.html .. _Near axis constraints: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/nae_constraint.html .. _Coil optimization: https://desc-docs.readthedocs.io/en/latest/notebooks/tutorials/coil_stage_two_optimization.html .. _api documentation: https://desc-docs.readthedocs.io/en/latest/api.html

Repository Contents

• desc contains the source code including the main script and supplemental files. Refer to the API documentation for details on all of the available functions and classes.
• docs_ contains the documentation files.
• tests_ contains routines for automatic testing.
• publications_ contains PDFs of publications by the DESC group, as well as scripts and data to reproduce the results of these papers.

.. _desc: https://github.com/PlasmaControl/DESC/tree/master/desc .. _docs: https://github.com/PlasmaControl/DESC/tree/master/docs .. _tests: https://github.com/PlasmaControl/DESC/tree/master/tests .. _publications: https://github.com/PlasmaControl/DESC/tree/master/publications .. _API: https://desc-docs.readthedocs.io/en/latest/api.html

Contribute

• Contributing guidelines <https://github.com/PlasmaControl/DESC/blob/master/CONTRIBUTING.rst>_
• Issue Tracker <https://github.com/PlasmaControl/DESC/issues>_
• Source Code <https://github.com/PlasmaControl/DESC/>_
• Documentation <https://desc-docs.readthedocs.io/>_

.. |License| image:: https://img.shields.io/github/license/PlasmaControl/desc?color=blue&logo=open-source-initiative&logoColor=white :target: https://github.com/PlasmaControl/DESC/blob/master/LICENSE :alt: License

.. |DOI| image:: https://zenodo.org/badge/DOI/10.5281/zenodo.4876504.svg :target: https://doi.org/10.5281/zenodo.4876504 :alt: DOI

.. |Docs| image:: https://img.shields.io/readthedocs/desc-docs?logo=Read-the-Docs :target: https://desc-docs.readthedocs.io/en/latest/?badge=latest :alt: Documentation

.. |UnitTests| image:: https://github.com/PlasmaControl/DESC/actions/workflows/unit_tests.yml/badge.svg :target: https://github.com/PlasmaControl/DESC/actions/workflows/unit_tests.yml :alt: UnitTests

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.. |Codecov| image:: https://codecov.io/gh/PlasmaControl/DESC/branch/master/graph/badge.svg?token=5LDR4B1O7Z :target: https://codecov.io/github/PlasmaControl/DESC :alt: Coverage

.. |Issues| image:: https://img.shields.io/github/issues/PlasmaControl/DESC :target: https://github.com/PlasmaControl/DESC/issues :alt: GitHub issues

.. |Pypi| image:: https://img.shields.io/pypi/v/desc-opt :target: https://pypi.org/project/desc-opt/ :alt: Pypi