Understanding Smoothed Particle Hydrodynamics

Abstract: This talk provides a beginner-friendly overview of weakly compressible Smoothed Particle Hydrodynamics (SPH), a mesh-free method for solving the Navier-Stokes equations. I will explain fundamental concepts such as smoothing kernels, the two-step approximation of spatial derivatives, and symplectic integrators for time discretization. The benefits and limitations of SPH will be compared to mesh-based approaches like the Finite Element Method. Finally, I will illustrate key ideas from the convergence analysis of Di Lisio et al., which relies on the Wasserstein metric and offers valuable theoretical insight.

Computer scienceMathematics

Audience: researchers in the topic

Modelling of materials - theory, model reduction and efficient numerical methods (UNCE MathMAC)