A comprehensive review is presented of the computational methods based upon
Helmholtz's powerful concepts of vortex dynamics, making use of Lagrangian or mixed …

In this paper we introduce and analyze a stochastic particle method for the McKean-Vlasov
and the Burgers equation; the construction and error analysis are based upon the theory of …

In this paper we construct a stochastic particle method for the Burgers equation with a
monotone initial condition; we prove that the convergence rate is $ O (1/\sqrt {N}+\sqrt {\Delta …

Publisher Summary This chapter focuses on vortex element methods for flow simulation. The
vortex element methods allow recreating the physically relevant dynamics of two-and three …

The objective of these notes is to present recent results on the convergence rate of Monte-
Carlo methods for linear Partial Differential Equations and integrodifferential Equations, and …

The initial unsteady two-dimensional flow around an impulsively started circular cylinder is
investigated using the random-vortex numerical method. To understand the mechanisms of …

Introduction In the past 10 to 15 years, vortex methods have been applied to a variety of fluid
flow problems. The essential aspect of these methods is the focus on the vorticity of a flow …

A hybrid random vortex-boundary element method is developed for the solution of time-
dependent incompressible three-dimensional internal flow problems. The numerical scheme …

Vortex methods for slightly viscous three-dimensional flow are presented. Vortex methods
have been used extensively for two-dimensional problems, though their most efficient …

Computational Fluid Mechanics: Selected Papers compiles papers on computational fluid
dynamics written between 1967 and 1982. This book emphasizes the numerical solution of …