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particle Collisions in a lumped particle model

Communications in Computational Physics 2011年第9期10卷 823-843页

作者： Omar al-Khayat Are Magnus Bruaset Hans Petter Langtangen Computational Geosciences CBCSimula Research LaboratoryP.O.Box 134NO-1325 LysakerNorway Department of Informatics University of OsloP.O.Box 1080BlindernNO-0316 OsloNorway Center for Biomedical Computing Simula Research LaboratoryP.O.Box 134NO-1325 LysakerNorway

This paper presents an extension of the lumped particle model in[1]to include the effects of particle *** lumped particle model is a flexible framework for the modeling of particle laden flows,that takes into account fundamental features,including advection,diffusion and dispersion of the *** this paper,we transform a binary collision model and concepts from kinetic theory into a collision procedure for the lumped particle *** apply this new collision procedure to investigate numerically the role of particle collisions in the hindered settling *** hindered settling effect is characterized by an increase in the effective drag coefficient CD that influences each particle in the *** coefficient is given by CD=(1−φ)−nC∗D,whereφis the volume fraction of particles,C∗D is the drag coefficient for a single particle,and n≃4.67 for creeping *** obtain an approximation for CD/C∗D by calculating the effective work done by collisions,and comparing that to the work done by the drag *** our numerical experiments,we observe a minimal value of n=***,by allowing high energy dissipation,an approximation for the classical value for creeping flow,n=4.7,is *** also obtain high values for n,up to n=6.5,which is consistent with recent physical experiments on the sedimentation of sand grains.

关键词： lumped particle model particle collision hindered settling

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A lumped particle modeling Framework for Simulating particle Transport in Fluids

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Communications in Computational Physics 2010年第6期8卷 115-142页

This paper presents a lumped particle model for simulating a large number of *** lumped particle model is a flexible framework in modeling particle flows,embodying fundamental features that are intrinsic in particle laden flow,including advection,diffusion and *** this paper,the particles obey a simplified version of the Bassinet-Boussinesq-Oseen equation for a single spherical ***,instead of tracking the individual dynamics of each particle,a weighted spatial averaging procedure is used where the external forces are applied to a“lump”of particles,from which an average position and velocity is *** temporal evolution of the particles is computed by partitioning the lumped particle into smaller entities,which are then transported throughout the physical *** smaller entities recombine into new particle lumps at their target *** particles prone to the effects of Brownian motion or similar phenomena,a symmetric spreading of the particles is included as *** experiments show that the lumped particle model reproduces the effects of Brownian diffusion and uniform particle transport by a fluid and *** late time scale diffusive nature of particle motion is also reproduced.

关键词： particle modeling framework particle transport lumped particle model

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Computational Aspects of Multiscale Simulationwith the lumped particle Framework

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Communications in Computational Physics 2012年第9期12卷 1257-1274页

作者： Omar al-Khayat Hans Petter Langtangen Computational Geosciences CBCSimula Research LaboratoryP.O.Box 134NO-1325 LysakerNorway Department of Informatics University of OsloP.O.Box 1080BlindernNO-0316 OsloNorway Center for Biomedical Computing Simula Research LaboratoryP.O.Box 134NO-1325 LysakerNorway

First introduced in[2],the lumped particle framework is a flexible and numerically efficient framework for the modelling of particle transport in fluid *** this paper,the framework is expanded to simulate multicomponent particle-laden fluid *** is accomplished by introducing simulation protocols tomodel particles over a wide range of length and time ***,we present a time ordering scheme and an approximate approach for accelerating the computation of evolution of different particle constituents with large differences in physical *** apply the extended framework on the temporal evolution of three particle constituents in sandladen flow,and horizontal release of spherical ***,we evaluate the numerical error of the lumped particle *** this context,we discuss the Velocity-Verlet numerical scheme,and show how to apply this to solving Newton’s equations within the *** show that the increased accuracy of the Velocity-Verlet scheme is not lost when applied to the lumped particle framework.

关键词： Multiscale modelling lumped particle model Velocity-Verlet scheme

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