This review paper presents an overview of Vortex Methods for flow simulation and their
different sub-approaches, from their creation to the present. Particle methods distinguish …

▪ Abstract Flow simulations are one of the archetypal multiscale problems. Simulations of
turbulent and unsteady separated flows have to resolve a multitude of interacting scales …

A numerical method for computing Stokes flows in the presence of immersed boundaries
and obstacles is presented. The method is based on the smoothing of the forces, leading to …

This paper deal with designing of weighted particle approximation of conservation laws.
New ideas concerning the use of variable smoothing length, renormalization and the use of …

As a counterpoint to classical stochastic particle methods for diffusion, we develop a
deterministic particle method for linear and nonlinear diffusion. At first glance, deterministic …

The method of regularized Stokeslets is a Lagrangian method for computing Stokes flow
driven by forces distributed at material points in a fluid. It is based on the superposition of …

The development of a two-dimensional viscous incompressible flow generated from a
circular cylinder impulsively started into rectilinear motion is studied computationally. An …

Recent contributions to vortex particle methods for the computation of three-dimensional
incompressible unsteady flows are presented. Both singular and regularized vortex particle …

Flow-based generative models enjoy certain advantages in computing the data generation
and the likelihood, and have recently shown competitive empirical performance. Compared …

Normalizing flow is a class of deep generative models for efficient sampling and likelihood
estimation, which achieves attractive performance, particularly in high dimensions. The flow …