Documentation here.
SimiLie (aka. Simulation in Lie groups) is a performance-portable (CPU & GPU) C++ library aiming to extent the capabilities of DDC to offer a complete toolkit able to address any physical problem from eventually-relativistic classical field theory (in particular: solid & fluid mechanics, electromagnetism and gravitation, or coupling between those).
Absolute WIP, there is no guarantee for proper working.
Relies on the #embed directive from C23. As it is not yet in C++ (even in C++26), the only supported compiler at the moment seems to be Clang 19. Kokkos backends other than Serial are not yet supported.
- Short term: simulate electromagnetism on manifold.
- Mid term (months): simulate geometrodynamics.
- Long term: generalize to all kinds of classical gauge theories and put Lie groups and Clifford algebra at the center of the construction.
- Extra-long term (years): quantization.
DONE:
- Simple mesher.
- Tensors (any dimension, rank and structure), tensor fields, covariant/contravariant indices, metric.
- Differential forms: (co)simplices, (co)chains, (co)boundary operator.
TODO:
- More advanced differential tools: musical operators, discrete Hodge star, inner product...
- Weak formulation, finite element method applied to electrostatic problem on manifold.
- Generalization to electromagnetism.
- ...
Send an email to baptistelegouix@gmail.com
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