Codes developed by the GRACEFUL team and available for the scientific community
1. Kore: the numerical explorer of rapidly rotating planets with liquid cores
Kore is a numerical code for the exploration of motions in the liquid cores of rapidly rotating planets. Kore, from the Greek Κόρη, the queen of the underworld, daughter of Zeus and Demeter, solves the linear Navier-Stokes and magnetic induction equations for a viscous, incompressible and conductive fluid (the planet's liquid core) enclosed within a solid inner core and a rigid mantle.
The DOI is https://doi.org/10.5281/zenodo.6783310
https://bitbucket.org/repepo/kore/src/master/
2. Mire
Solver for inviscid (magneto)hydrodynamic modes in rapidly rotating spheres and ellipsoids using a Galerkin method with basis vectors constructed from Cartesian monomials.
The DOI is https://doi.org/10.5281/zenodo.1711997
https://github.com/fgerick/Mire.jl
3. Pygeodyn (Python geomagnetic data assimilation package) and webgeodyn (visualisation tool)
Scientists from GRACEFUL - University of Grenoble have developed a Python geomagnetic data assimilation code and associated visualization tools. They are now available for download here:
https://geodyn.univ-grenoble-alpes.fr/
The DOI is https://doi.org/10.5194/gmd-12-3795-2019
4. Gravity data processing codes
Python software for processing and working with Level-2 spherical harmonic coefficients from the NASA/DLR Gravity Recovery and Climate Experiment (GRACE) and the NASA/GFZ GRACE Follow-On (GRACE-FO) missions. Code produced by Tyler Sutterley with contributions from Hugo Lecomte in the scope of the GRACEFUL project.
https://github.com/hulecom/read-GRACE-harmonics
The publication DOI is https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2023GL104790
5. Limace: calculation of hydromagnetic modes in planetary cores
Limace.jl (Gerick, 2025) is a package written in the Julia programming language, based on Galerkin projections of the governing magnetohydrodynamic equations onto trial vectors of the velocity and magnetic field. It aims to facilitate the calculation of hydromagnetic modes in planetary cores, with flexible setups and a high-level interface, whilst remaining computationally performant enough to tackle relevant physical parameters.
Gerick F., 2025, Limace.jl: A Julia package to compute hydromagnetic modes in spherical domains". Journal of Open Source Software, DOI: 10.21105/joss.07593.
The updated DOI is https://doi.org/10.21105/joss.07593
https://github.com/fgerick/Limace.jl
6. MSSAkit: for series analysis
A python-based toolkit to analyse time series using Multivariate Singular Spectral Analysis (MSSA).
The updated DOI is https://doi.org/10.5281/zenodo.10377708
https://github.com/anitasaraswati/MSSAkit
7. Sprouts: for processing partial differential equations (PDE) in spherical harmonics
Sprouts is a symbolic package written for Wolfram Mathematica that parses lists of ODEs corresponding to the spherical harmonics components of PDEs in spherical (and oblate spheroidal) coordinates into a set of discretized matrices operating on the array of Chebyshev coefficients representing the set of functions to solve for.