AuthorsO. Al-Khayat and H. P. Langtangen
TitleComputational Aspects of Multiscale Simulation With the Lumped Particle Framework
Afilliation, , Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2012
JournalCommunications in Computational Physics
Volume12
Number4
Pagination1257-1274
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 frame- work is expanded to simulate multicomponent particle-laden fluid flow. This is accomplished by introducing simulation protocols to model particles over a wide range of length and time scales. Consequently, we present a time ordering scheme and an approximate approach for ac- celerating 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 parti- cle constituents in sand-laden flow, and horizontal release of spherical particles. Furthermore, we evaluate the numerical error of the lumped particle model. In this context, we discuss the Velocity-Verlet 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.

Citation KeySimula.simula.376