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Jun 17 – 18, 2024
Europe/Paris timezone
Journées Écoulements & Fluides - Saclay

Combining an a priori space-time separated model-order reduction technique to the Particle Finite Element Method

Jun 17, 2024, 2:20 PM
Présentation orale Présentations


Max Beckermann (Centralesupelec)


The Particle Finite Element method is a fluid solver based on Lagrangian finite elements combined with efficient re-meshing algorithms. It was shown to be effective in a large amount of applications, especially in the case of free surface fluids flows or fluid-structure interactions. Up to now, this method has never been paired up with any model-order reduction technique because of the difficulties linked to the re-meshing schemes. This remains however, an important area of research to uncover as it could drastically reduce the computational cost of the method. In this work, we focus on an a priori reduction method called Proper Generalized Decomposition (PGD) with a space-time decomposition. The PGD does not require any knowledge of past solutions and builds the reduced model iteratively. To deal with moving mesh and remeshing, a new expanded formulation is introduced. Particular efforts have to be made to ensure both correct mesh and solution interpolation at the re-meshing instances and adequate update of the mesh after every new mode calculation. The proposed technique has been validated with simple tests showing very promising results.

Primary author

Max Beckermann (Centralesupelec)


Mr Andrea Barbarulo (Centralesupelec) Prof. Massimiliano Cremonesi (Politecnico di Milano)

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