Séminaire Analyse Numérique et EDP
Particle methods, Lagrangian Voronoi cells and computational geometry
25
avr. 2024
avr. 2024
Intervenant : | Bruno Després |
Institution : | LJLL (Sorbonne Université) |
Heure : | 14h00 - 15h00 |
Lieu : | 3L8 |
A new numerical scheme for compressible fluids has recently been presented in Després/CMAME/2023. The method is at the same time a particle method (the mass is lagrangian) and a PDE solver on grid. Since the grid is recalculated at every time step as a Voronoi mesh,the method is a new instance of a Free-Lagrange solver (a family of method once very popular). The objective of this presentation will be the exposition of the principles behind the new solver. I will also focus on the role of a "seemingly new" computational geometry formula.