Vortex Methods

Abstract

Vortex methods are presented, from the fundamentals to the advanced subjects. These methods are well suited to simulating unsteady, convection‐dominated, flows (inviscid and viscous). The spectrum of applicability is thus quite large. Examples are presented in incompressible flows (unbounded flows and bluff‐body flows) and in combustion.

Calculation of isotropic turbulence using a pure Lagrangian vortex method

“…They only need to satisfy certain moment properties [15]. The high order algebraic function by Winckelmans [16] is second order, and has a simple algebraic form. We will use this for the smoothing function and PSE kernel, which have the form…”

Research towards a wake-vortex advisory system for optimal aircraft spacing

“…The Vortex Forecast System (VFS) is an operational wake vortex predictor, based on the method of discrete vortices [46], that is able to realistically simulate complex wake vortex behaviours, depending on atmospheric and ground proximity conditions. It was developed by partners from Russia, Canada and Belgium, under a contract with Transport Canada (TC) and its Transportation Development Center [47,48]; it was then further enhanced at Université catholique de Louvain, Belgium [49].…”

Vortex particle-mesh simulations of vertical axis wind turbine flows: from the airfoil performance to the very far wake

“…Dissipative terms can be added to the particle ordinary differential equations (ODEs) in order to limit the particle deformations (Monaghan, 2000); this comes at the price of artificial bulk and shear viscosities. State-of-the-art particle methods, such as the present one, rely on a procedure called remeshing (Cottet, 1996;Koumoutsakos, 1997;Ploumhans and Winckelmans, 2000;Winckelmans, 2004), which consists of the periodic regularization of the particle set onto a mesh. This procedure typically relies on high-order interpolation formulas (Monaghan, 1985;van Rees et al, 2011) which involve well-controlled levels of artificial viscosity.…”