Publication
Title
Accuracy of hybrid lattice Boltzmann/finite difference schemes for reaction-diffusion systems
Author
Abstract
In this article we construct a hybrid model by spatially coupling a lattice Boltzmann model (LBM) to a finite difference discretization of the partial differential equation (PDE) for reaction-diffusion systems. Because the LBM has more variables (the particle distribution functions) than the PDE (only the particle density), we have a one-to-many mapping problem from the PDE to the LBM domain at the interface. We perform this mapping using either results from the ChapmanEnskog expansion or a pointwise iterative scheme that approximates these analytical relations numerically. Most importantly, we show that the global spatial discretization error of the hybrid model is one order less accurate than the local error made at the interface. We derive closed expressions for the spatial discretization error at steady state and verify them numerically for several examples on the one-dimensional domain.
Language
English
Source (journal)
Multiscale modeling and simulation
Publication
2007
Volume/pages
6:3(2007), p. 838-857
ISI
000252254800006
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
E-info
Web of Science
Record
Identification
Creation 21.04.2009
Last edited 16.09.2017
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