Volume 12, Issue 4
Computational Aspects of Multiscale Simulation with the Lumped Particle Framework

Omar al-Khayat & Hans Petter Langtangen

Commun. Comput. Phys., 12 (2012), pp. 1257-1274.

Published online: 2012-12

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  • Abstract

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


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@Article{CiCP-12-1257, author = {Omar al-Khayat and Hans Petter Langtangen}, title = {Computational Aspects of Multiscale Simulation with the Lumped Particle Framework}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {4}, pages = {1257--1274}, abstract = {

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


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.110211.121211a}, url = {http://global-sci.org/intro/article_detail/cicp/7333.html} }
TY - JOUR T1 - Computational Aspects of Multiscale Simulation with the Lumped Particle Framework AU - Omar al-Khayat & Hans Petter Langtangen JO - Communications in Computational Physics VL - 4 SP - 1257 EP - 1274 PY - 2012 DA - 2012/12 SN - 12 DO - http://dor.org/10.4208/cicp.110211.121211a UR - https://global-sci.org/intro/cicp/7333.html KW - AB -

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


Omar al-Khayat & Hans Petter Langtangen. (1970). Computational Aspects of Multiscale Simulation with the Lumped Particle Framework. Communications in Computational Physics. 12 (4). 1257-1274. doi:10.4208/cicp.110211.121211a
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