Direct Simulations of 2D Fluid-Particle Flows in Biperiodic Domains

Maury, Bertrand

doi:10.1006/jcph.1999.6365

Cited by 92 publications

(80 citation statements)

References 17 publications

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“…The boundary condition is imposed on the particle. The greatly used moving mesh method is perhaps the arbitrary LagrangianEulerian (ALE) scheme [1][2][3]. Using this method, various flows with different particle shapes in Newtonian and non-Newtonian fluids have been successfully investigated.…”

Section: Introductionmentioning

confidence: 99%

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Chen

2010

CICP

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Abstract.A boundary condition-enforced immersed boundary-lattice Boltzmann method (IB-LBM) for the simulation of particulate flows is presented in this paper. In general, the immersed boundary method (IBM) utilizes a discrete set of force density to represent the effect of boundary. In the conventional IB-LBM, such force density is pre-determined, which cannot guarantee exact satisfaction of non-slip boundary condition. In this study, the force density is transferred to the unknown velocity correction which is determined by enforcing the non-slip boundary condition. For the particulate flows, accurate calculation of hydrodynamic force exerted on the boundary of particles is of great importance as it controls the motion of particles. The capability of present method for particulate flows is depicted by simulating migration of one particle in a simple shear flow and sedimentation of one particle in a box and two particles in a channel. The expected phenomena and numerical results are achieved. In addition, particle suspension in a 2D symmetric stenotic artery is also simulated.

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Section: Introductionmentioning

confidence: 99%

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Chen

2010

CICP

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“…The flow field around each individual particle is resolved so that the hydrodynamic force acting on the particle is obtained from the fluid solution. Hu, Joseph and coworkers [1,2], Galdi [3] as well as Maury [4] developed a finite element method based on unstructured grids to simulate the motion of a large number of rigid particles in Newtonian and viscoelastic fluids. This approach is based on an Arbitrary Lagrangian-Eulerian (ALE) technique.…”

Section: Introductionmentioning

confidence: 99%

Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows

Wan

Turek

2007

Journal of Computational Physics

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In this paper, we investigate the numerical simulation of rigid particulate flows using a new moving mesh method combined with the multigrid fictitious boundary method (FBM) [9,10]. With this approach, the mesh is dynamically relocated through a special partial differential equation to capture the region near the surface of the moving particles with high accuracy. The complete system is realized by solving the mesh movement and physical partial differential equations alternately. The flow is computed by an ALE formulation with a multigrid finite element solver, and the solid particles are allowed to move freely through the computational mesh which is adaptively aligned by the moving mesh method based on an arbitrary grid. The important aspect is that the data structures of the underlying undeformed mesh, in many cases a tensorproduct mesh, are preserved while only the spacing between the grid points is adapted in each step. Numerical results demonstrate that the interaction between the fluid and the particles can be accurately and efficiently handled by the presented method. It is also shown that the presented method directly improves upon the previous pure multigrid FBM to solve particulate flows with many moving rigid particles.

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“…The position is deduced from this procedure and the mesh has to be redefined in the new fluid domain, by using several techniques such as a ALE-type mesh displacement, before renewing the procedure for the next time step (see e.g. [29,34,41]). The conforming character of the mesh ensures a good accuracy in space; in particular hydrodynamic forces, on which lies the fluid particle coupling, are estimated in a proper way.…”

Section: On the Direct Simulation Of Suspensionsmentioning

confidence: 99%

Towards the simulation of dense suspensions: a numerical tool

Faure¹,

Maury²,

Takahashi³

2009

ESAIM: Proc.

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Abstract. We present a numerical tool which aims at investigating the rheology of dense suspensions of entities such as spheres, red blood cells, polymer chains, or any kind of rigid or deformable bodies, in a viscous fluid. We shall pay a special attention to the short-range interactions between those entities (contact forces, lubrication forces). As for the fluid itself, our strategy consists in avoiding the direct and costly solution of the Stokes equations by integrating only the interaction forces which are likely to play a significant role in the overall behaviour of the suspension, in the spirit of Stokesian Dynamics. We present some preliminary results for suspensions of spheres, Red Blood Cells, and polymer-like chains.Résumé. Nous présentons un outil numérique permettant d'étudier la rhéologie de suspensions denses d'entités telles que des sphères, des globules rouges, des chaînes de polymère et, d'une manière générale, des objets rigides ou déformables dans un fluide visqueux. Nous portons une attention particulière aux interactionsà courte distance entre ces entités (forces de contact, forces de lubrification). En ce qui concerne le fluide lui-même, notre stratégie consisteàéviter le calcul direct (et coûteux) de la solution deséquations de Stokes, en déterminant uniquement les forces d'interaction qui jouent un rôle significatif dans le comportement général de la suspension, dans l'esprit de la méthode dite de Dynamique Stokesienne. Nous présentons quelques résultats préliminaires pour des suspensions de sphères, de globules rouges, et de chaînes de polymère.

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Direct Simulations of 2D Fluid-Particle Flows in Biperiodic Domains

Cited by 92 publications

References 17 publications

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows

Towards the simulation of dense suspensions: a numerical tool

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