Date/heure
1 juin 2018
11:00 - 12:00
Oratrice ou orateur
Robert Krasny
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
Particles are used in several different ways in computational physics. For example one can study systems of point masses, point charges, or point vortices. Another approach considers the particle system as a discretization of a continuous PDE problem; in this case one is dealing with a particle method, as an alternative to the classical discretization methods such as finite-difference, finite-element, and spectral methods. Here we consider particle methods in two areas, (1) electrostatics of solvated proteins, where the particles are nodes in a triangulation of the molecular surface, and (2) incompressible fluid dynamics, where the particles represent the flow map and carry vorticity. We discuss the challenges facing particle methods and some techniques that improve their accuracy and efficiency, including adaptive refinement, remeshing, and treecode-acceleration.