Vortex Methods: Theory and Practice

By Georges-Henri Cottet, Petros Koumoutsakos. 2000

976 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4bf184bb2cb96bc3f332eb6d11dac73981486bd7

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In Computational Mechanics

Citations in the corpus

Feedback shear layer control for bluff body drag reduction (2008, neutral): “In the 1980s and 1990s high-dimensional vortex models were investigated by several researchers (Ghoniem & Gagnon 1987; Cottet & Koumoutsakos 2000; Soteriou 2003) as an alternative approach to DNS, and extended for three-dimensional flows (Leonard 1985; Meiburg 1995).”
A Lagrangian particle level set method. (2005, methodology): “The kernel is said to be of order r when the following moment conditions [18] are satisfied: Z f ðxÞdx 1⁄4 1; ð13Þ Z xf ðxÞdx 1⁄4 0 if jij 6 r 1; ð14Þ Z jxjf ðxÞdx < 1.”
Applications of the unsteady vortex-lattice method in aircraft aeroelasticity and flight dynamics (2012, neutral): “[92, 97–99].”
Vortex methods in aeronautics: how to make things work (2006, background): “Space does not allow even a brief survey here, but for a valuable textbook with an extensive literature survey we refer we the reader to Cottet and Koumoutsakos ( 2000 ).”
Computational aeroacoustics: progress on nonlinear problems of sound generation (2004, methodology): “Vortex methods with acoustic analogy Vortex methods provide an alternative methodology for computing unsteady flows [62,63].”
Wind turbine wake aerodynamics (2003, neutral): “[95] or [96]).”
A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow (2001, background): “There is a large body of work dealing with the application of such methods to three-dimensional vortex dynamics, and several survey articles and texts can be consulted for an overview [1–5].”
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake (2003, methodology): “…foundation of many low-dimensional models was laid † Author to whom correspondence should be addressed: NoackBR@pi.tu-berlin.de about a hundred years ago with Galerkin models (see for example Holmes, Lumley & Berkooz 1998) and vortex methods (see for example Cottet & Koumoutsakos 2000).”
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows (2005, methodology): “The velocity data used to compute FTLE was provided by a viscous vortex method [3,6,7].”
MULTISCALE FLOW SIMULATIONS USING PARTICLES (2005, methodology): “…of the vorticity field in 3D, incompressible, viscous flows in a velocity-vorticity (u,ω = ∇ × u) formulation as ∂ω ∂t + (u · ∇)ω = (ω · ∇) u + ν ω (13) The velocity field u is obtained by solving the Poisson equation ∇2u = −∇ × ω (14) with suitable boundary conditions (Cottet & Koumoutsakos 2000).”
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows (2002, methodology): “For further details on the accuracy and the properties of the interpolating functions, the reader is referred to [10].”
Adhesive particulate flow: The discrete-element method and its application in energy and environmental engineering (2011, methodology): “An alternative for larger-size particles is the M’4 scheme proposed by Monaghan [218] in the context of spherical particle hydrodynamics (SPH) (see also Cottet and Koumoutsakos, [219]), which distributes the force from a set of particles onto the grid cells in such a way as to conserve the first thr”
A multi-phase SPH method for macroscopic and mesoscopic flows (2006, methodology): “…and Smereka 2003) and the lattice Boltzmann method (LBM) (Chen and Doolen 1998); the other is the Lagrangian approach, such as vortex methods (Cottet and Koumoutsakos 2000; Koumoutsakos 2005), molecular dynamics (MD) (Koplik and Banavar 1995), and dissipative particle dynamics (DPD)…”
A general deterministic treatment of derivatives in particle methods (2002, methodology): “The vortex particle method (VPM) has become a useful tool for computing incompressible flows in which vorticity is an integral component [5], and recently, the VPM has been adapted to compressible flows by Eldredge et al.”