A review of vortex methods and their applications: From creation to recent advances

C Mimeau, I Mortazavi - Fluids, 2021 - mdpi.com
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 …

Wakes of rotorcraft in advancing flight: A large-eddy simulation study

DG Caprace, P Chatelain, G Winckelmans - Physics of Fluids, 2020 - pubs.aip.org
We perform the large-eddy simulation of the flow past a helicopter rotor to support the
investigation of rotorcraft wake characteristics and decay mechanisms. A hybrid Lagrangian …

A weak coupling between a near-wall Eulerian solver and a Vortex Particle-Mesh method for the efficient simulation of 2D external flows

P Billuart, M Duponcheel, G Winckelmans… - Journal of …, 2023 - Elsevier
We introduce and validate a weak coupling approach between a body-fitted velocity-
pressure solver and a Vortex Particle-Mesh (VPM) method in 2D for the simulation of …

Lattice Green's functions for high-order finite difference stencils

J Gabbard, WM van Rees - SIAM Journal on Numerical Analysis, 2024 - SIAM
Lattice Green's functions (LGFs) are fundamental solutions to discretized linear operators,
and as such they are a useful tool for solving discretized elliptic PDEs on domains that are …

An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies

J Gabbard, T Gillis, P Chatelain… - Journal of Computational …, 2022 - Elsevier
We present an immersed interface method for the vorticity-velocity form of the 2D Navier
Stokes equations that directly addresses challenges posed by nonconvex immersed bodies …

A comparison of semi-Lagrangian vortex method and lattice Boltzmann method for incompressible flows

C Mimeau, S Marié, I Mortazavi - Computers & Fluids, 2021 - Elsevier
Abstract The semi-Lagrangian Vortex method (VM) and the Lattice Boltzmann method (LBM)
are used to investigate flows simulations in the incompressible regime. In this study, a …

A hybrid Lagrangian–Eulerian flow solver applied to elastically mounted cylinders in tandem arrangement

G Papadakis, VA Riziotis, SG Voutsinas - Journal of Fluids and Structures, 2022 - Elsevier
The fluid–structure interaction of cylinders in tandem arrangement is used as validation
basis of a multi-domain Lagrangian–Eulerian hybrid flow solver. The solver is built on a …

Assessment of the vortex particle-mesh method for efficient les of hovering rotors and their wakes

DG Caprace, G Winckelmans, P Chatelain - AIAA Scitech 2021 Forum, 2021 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2021-0738. vid Midway between a vortex
method and a grid-based CFD, the Vortex Particle–Mesh method with Immersed Lifting …

Simulation of the Rotorwash Induced by a Quadrotor Urban Air Taxi in Ground Effect

DG Caprace, PV Diaz, S Yoon - … Flight Society's 79th Annual Forum & …, 2023 - ntrs.nasa.gov
A rotorcraft hovering near the ground causes downwash and outwash. The impact of these
induced velocities on urban air mobility operations has not been extensively quantified. This …

FLUPS - A Flexible and Performant Massively Parallel Fourier Transform Library

P Balty, P Chatelain, T Gillis - IEEE Transactions on Parallel …, 2023 - ieeexplore.ieee.org
Massively parallel Fourier transforms are widely used in computational sciences, and
specifically in computational fluid dynamics which involves unbounded Poisson problems. In …