A smooth particle-mesh Ewald algorithm for Stokes suspension simulations: The sedimentation of fibers

DOI10.1063/1.1862262zbMath1187.76458OpenAlexW2048287745MaRDI QIDQ3554910

Eric S. G. Shaqfeh, David Saintillan, Eric Darve

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2bda051247594162dd2a74b64f9eba4452330746

zbMATH Keywords

fast Fourier transformscomputational fluid dynamicssuspensionshydrodynamicsmultiphase flowLegendre polynomialssedimentationflow simulationlubricationfibresGreen's function methods

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (51)

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Cites Work

• Unnamed Item
• Unnamed Item
• A direct simulation of fibre suspensions
• An efficient algorithm for hydrodynamical interaction of many deformable drops
• Accelerated Stokesian Dynamics simulations
• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• Screening mechanisms in sedimentation
• Evolution of particle-velocity correlations in sedimentation
• Spreading fronts and fluctuations in sedimentation
• Variance in the sedimentation speed of a suspension
• Sedimentation in a dispersion with vertical inhomogeneities
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Dynamic simulation of hydrodynamically interacting suspensions
• Dynamic simulation of bounded suspensions of hydrodynamically interacting particles
• The motion of rigid particles in a shear flow at low Reynolds number
• An averaged-equation approach to particle interactions in a fluid suspension
• Hydrodynamic, translational diffusion in fiber suspensions subject to simple shear flow
• Suspensions of prolate spheroids in Stokes flow. Part 1. Dynamics of a finite number of particles in an unbounded fluid
• A numerical study of the sedimentation of fibre suspensions
• Experimental study of the sedimentation of dilute and semi-dilute suspensions of fibres
• Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
• Pressure-driven flow of suspensions: simulation and theory
• The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow
• An O(N) algorithm for Stokes and Laplace interactions of particles
• The instability of a dispersion of sedimenting spheroids
• Dynamic simulations of the inhomogeneous sedimentation of rigid fibres
• A model for velocity fluctuations in sedimentation
• Numerical simulations of a sphere settling through a suspension of neutrally buoyant fibres
• Slender-body theory for particles of arbitrary cross-section in Stokes flow
• Sedimentation in a dilute dispersion of spheres
• On the Settling Speed of Free and Fixed Suspensions
• Screening in sedimenting suspensions
• A fast algorithm for particle simulations

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