Spectral distributed Lagrange multiplier method: algorithm and benchmark tests

Dong, Suchuan; Liu, Dong; Maxey, Martin; Karniadakis, George Em

doi:10.1016/j.jcp.2003.10.016

Cited by 33 publications

(29 citation statements)

References 41 publications

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“…The FCM can handle spherical or ellipsoidal particles (complex shapes are not possible) moving in a Stokes or finite Reynolds flow including simply the effect of non-hydrodynamic forces together with a good accuracy of multi-body hydrodynamic interactions. This method has been compared to other existing methods for particulate flows (see [40]. The conclusion is that with 6-8 grid cells within a particle diameter, FCM is very efficient.…”

Section: Numerical Modeling Of Flow Particle Interactionsmentioning

confidence: 99%

Numerical investigation of channel blockage by flowing microparticles

2014

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a b s t r a c tThe dynamic formation of 3D structures of microparticle aggregates blocking the flow through straight microchannels is investigated by direct numerical simulation of the coupled motion of particles and fluid. We use the Force Coupling Method to handle simultaneously multibody hydrodynamic interactions of confined flowing suspension together with particle-particle and particle-wall surface interactions leading to adhesion and aggregation of particles. The basic idea of the Force Coupling Method relies on a multipole expansion of forcing terms (added to the Navier-Stokes equations) accounting for the velocity perturbation induced by the presence of particles in the fluid flow. When a particle reaches the wall or an attached particle, we consider that the adhesion is irreversible and this particle remains fixed. We investigate the kinetics of the microchannel blockage for several solid volumetric concentrations and different surface interaction forces. Many physical quantities such as the temporal evolution of the bulk permeability, capture efficiency, modification of the fluid flow and forces acting on attached particles are analyzed. We show that physical-chemical interactions, modeled by DLVO forces, are essential features which control the blockage dynamics and aggregate structure. IntroductionThe physics of transport, deposition, detachment and reentrainment of colloidal particles suspended in a fluid are of major interest in many areas of fluids engineering: fouling of heat exchangers, contamination of nuclear reactors, plugging of filtration membranes and occlusion of human veins, deposits in microelectronics and in the paper industry. In many solid/liquid separation processes such as micro-filtration or ultrafiltration of water, the limitation of the process performance is related to the fouling of filtration devices. To prevent or control the occurrence of fouling, it is necessary to achieve a better understanding of the respective roles of physical-chemical phenomena and hydrodynamic interactions in a confined suspension of particles. Non-hydrodynamic surface interactions and the adhesion of particles onto solid surfaces are the essential features to be modeled. However, mainly because of a complex interplay between the hydrodynamics of the flow, the physical-chemical properties of the filtered suspensions (often in a colloidal state) and the nature of the solid material, predicting fouling dynamics is still challenging.Different experimental techniques and numerical approaches have been developed to achieve new insights on the local structure of particle aggregates and the kinetics of blockage. Sharp and Adrian [4], by means of experiments in microtubes, observed blockage due to arch formation. The experiments were performed using liquids seeded with polystyrene beads at low volumetric concentration. They showed that a stable balance between the hydrodynamic forces and contact forces (mainly solid friction) between particles and the wall provokes the formation of arches. Wyss et al.[5] stu...

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Section: Numerical Modeling Of Flow Particle Interactionsmentioning

confidence: 99%

Numerical investigation of channel blockage by flowing microparticles

2014

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“…A number of approaches have been proposed, such as distributed Lagrange multipliers (Dong et al, 2004), which enforce the boundary between the solid and the fluid exactly. However, for more complicated geometries (see section 3.2) this would require identification of the solid regions, which essentially amounts to segmentation of the geometry; hence, this could be simulated using a boundary fitted approach.…”

Section: Fictitious Solid Obstaclesmentioning

confidence: 99%

A combined numerical and experimental framework for determining permeability properties of the arterial media

Comerford

Chooi

Nowak

et al. 2014

Biomech Model Mechanobiol

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The medial layer of the arterial wall may play an important role in the regulation of water and solute transport across the wall. In particular, a high medial resistance to transport could cause accumulation of lipid carrying molecules in the inner wall. In this study, the water transport properties of medial tissue were characterised in a numerical model utilising experimentally obtained data for the medial microstructure and the relative permeability of di↵erent constituents. For the model, a new solver for flow in porous materials, based on a high-order splitting scheme, was implemented in the spectral/hp element library nektar++ and validated. The data were obtained by immersing excised aortic bifurcations in a solution of fluorescent protein tracer and subsequently imaging them with a confocal microscope. Cuboidal regions of interest were selected in which the microstructure and relative permeability of di↵erent structures were transformed to a computational mesh. Impermeable objects were treated fictitiously in the numerical scheme. On this cube, a pressure drop was applied in the three coordinate directions and the principal components of the permeability tensor were determined. The reconstructed images demonstrated the arrangement of elastic lamellae and interspersed smooth muscle cells in rat aortic media; the distribution and alignment of the smooth muscle cells varied spatially within the extracellular matrix. The numerical simulations high-

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“…This model avoids the demand to completely resolve the thin boundary layer around the complex-shaped particles and avoids the requirement of tiny elements and large numbers of nodes near the surface curvature. Therefore, this model significantly reduces the computational intensity by one to two orders of magnitude as indicated in this paper and [14,34]. Due to the balance between computational accuracy and economical consideration in formulation, simulation results indicate that VIP is promising for investigating flows with complex-shaped particles, especially for the case with abundant complex particles.…”

Section: Resultsmentioning

confidence: 77%

Modal Spectral Element Solutions to Incompressible Flows over Particles of Complex Shape

Liu

Zheng

2014

Journal of Computational Engineering

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This paper develops the virtual identity particles (VIP) model to simulate two-phase flows involving complex-shaped particles. VIP assimilates the high efficiency of the Eulerian method and the convenience of the Lagrangian approach in tracking particles. It uses one fixed Eulerian mesh to compute the fluid field and the Lagrangian description to handle constitutive properties of particles. The interaction between the fluid and complex particles is characterized with source terms in the fluid momentum equations, while the same source terms are computed iteratively from the particulate Lagrangian equations. The advantage of VIP is its economy in modeling a two-phase flow problem almost at the cost of solving only the fluid phase with added source terms. This high efficiency in computational cost makes VIP viable for simulating particulate flows with numerous particles. Owing to the spectral convergence and high resolvability of the modal spectral element method, VIP provides acceptable resolution comparable to DNS but at much reduced computational cost. Simulation results indicate that VIP is promising for investigating flows with complex-shaped particles, especially abundant complex particles.

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Spectral distributed Lagrange multiplier method: algorithm and benchmark tests

Cited by 33 publications

References 41 publications

Numerical investigation of channel blockage by flowing microparticles

Numerical investigation of channel blockage by flowing microparticles

A combined numerical and experimental framework for determining permeability properties of the arterial media

Modal Spectral Element Solutions to Incompressible Flows over Particles of Complex Shape

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