Page en cours de construction

EZ-VORTEX

The EZ-Vortex code is a Slender Vortex Filament solver written in C.

SageMAE4PDEs

The SageMAE4PDEs project means MAE (Matched Asymptotic Expansion) for PDEs (Partial Differential Equations) aided by SageMath free open-source mathematics software system. We are interested in using the Matched Asymptotic Expansion method to provide solutions of Partial Differential Equations. This often leads to difficult calculations in which humans can make mistakes when deriving those calculations on a sheet of paper. This project is in a started stage: it is in the phase of collecting information and examples to specify thye library that would be welcomed to be developed.

Examples of SageMath notebooks to do MAE for PDEs : Slender Vortex Filament motion We provide here examples of using the SageMath tool (the free open-source mathematics software system) to derive those calculations.

• Marie Rodal, D. Margerit, Rupert Klein, Slender vortex filaments in the Boussinesq approximation, Phys. of Fluids 36, (5), May 2024, doi, pdf
  • vortex filament derivation: local curvilinear operators, asymptotic expansions in those operators, simplification of the equations at each orders (symmetrical part), [html], [ipynb]
  • vortex filament equations: the outcome equations at each orders, [html], [ipynb]

Programmes cours du Cnam

Python notebooks

• Countour tracing

• scikit-learn

• gemseo