International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

For Online Access

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2006, Volume4

Issue 2

106 pages

DOI: 10.1615/IntJMultCompEng.v4.i2

Issue price - $128.00

Paul Albuquerque
Computer Science Department, University of Geneva, 1211 Geneva 4, Switzerland; and LII, Ecole d'Ingénieurs de Genéve, HES-SO, 1202 Geneva, Switzerland

Davide Alemani
CABE, University of Geneva, 1211 Geneva 4, Switzerland

Bastien Chopard
Computer Science Department, University of Geneva, 1211 Geneva 4, Switzerland

Pierre Leone
Computer Science Department, University of Geneva, 1211 Geneva 4, Switzerland

We show how a lattice Boltzmann (LB) can be spatially coupled with a finite difference (FD) scheme, each method running on a separate region, to solve a given problem. The typical situation we consider is a computational domain that is partitioned into two regions. The same spatiotemporal physical process extends over the full domain, but a different numerical method is used over each region. At the interface of the subdomains, the LB and FD must be connected so as to ensure a perfect continuity of the physical quantities. We derive the theoretical concepts, which allow us to link both methods in the case of a diffusion process, and validate them with numerical simulations on a two-dimensional domain. We also consider the case of different size grids for which the coupling has to be complemented with an interpolation procedure.

DOI: 10.1615/IntJMultCompEng.v4.i2.20 Download article, 209-219 pages

Article price - $35.00

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