rencontres INRIA-LJLL en calcul scientifique

Le prochain exposé des rencontres INRIA-LJLL en calcul scientifique aura
lieu le lundi 2 décembre à 11h en salle de séminaire du LJLL
(Jussieu 15-16-309).

Ondřej Kincl (University of Trento, Italy) nous parlera de : 
A semi-implicit numerical scheme based on moving Voronoi cells

Résumé: 
In this talk, I will explain how moving Voronoi grids can be used in computational fluid dynamics. Following the papers of Bruno Després [1] and Volker Springel [2], we pursue a method for compressible Navier-Stokes equations that is as close to being Lagrangian as possible (cells moving with the flow) while combating the undesirable clustering of the Voronoi generating seeds.
Our novel Semi-Implicit Lagrangian Voronoi Approximation (SILVA) can be understood as a particle method, where the Voronoi mesh is a supplementary structure for constructing derivative approximations. Our novelty is a semi-implicit time-marching scheme, allowing larger time steps and thus reducing the frequency of (relatively costly) mesh regeneration. Compared to Smoothed Particle Hydrodynamics (SPH), we obtain smaller stencils and a more efficient wall implementation.
At the end of the talk, I will discuss current obstacles and open questions and try to convince the audience that moving Voronoi schemes have a great potential for solving complex problems, like multiphase modeling and fluid-structure interaction.

This is joint work with W. Boscheri (Université Savoie Mont Blanc, France) and I. Peshkov (University of Trento, Italy).

[1] Bruno Després. Lagrangian Voronoi meshes and particle dynamics with shocks. Computer Methods in Applied Mechanics and Engineering, 418:116427, 2024.
[2] Volker Springel. Hydrodynamic simulations on a moving Voronoi mesh. arXiv preprint arXiv:1109.2218, 2011.

Le séminaire pourra aussi être suivi en ligne à l'adresse suivante : 
https://webinaire.numerique.gouv.fr/meeting/signin/invite/1768/creator/1434/hash/1f390b00121d8bea975d7d9d685bf12d5e63e479

Notez que vous pouvez consulter la liste des prochains exposés à l'adresse suivante : 
https://project.inria.fr/rencontresljll/fr/program-2024-2025/