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Coupled finite element–lattice Boltzmann analysis

Haslam, I.W.; Crouch, R.S.; Seaïd, M.

Authors

I.W. Haslam

R.S. Crouch



Abstract

A coupled finite element (FE) and lattice Boltzmann (LB) numerical scheme to model the deformation of a porous solid through which fluid flows could offer an attractive solution strategy. As a precursor to a complete simulator, we review the two methodologies and show an initial proof of concept for a coupling method solving one- and multi-dimensional diffusion problems. The accuracy and computational efficiency of the combined method is presented and compared for simple problems that offer analytical solutions. The effects of changing temporal discretisations and diffusivities at the FE–LB interface, as well as iterating towards convergence, are described. The results demonstrate for the first time a transfer of state variables across the FE–LB interface for this class of problems.

Citation

Haslam, I., Crouch, R., & Seaïd, M. (2008). Coupled finite element–lattice Boltzmann analysis. Computer Methods in Applied Mechanics and Engineering, 197(51-52), 4505-4511. https://doi.org/10.1016/j.cma.2008.04.002

Journal Article Type Article
Publication Date Oct 15, 2008
Deposit Date Oct 27, 2011
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 197
Issue 51-52
Pages 4505-4511
DOI https://doi.org/10.1016/j.cma.2008.04.002
Keywords Finite element method, Lattice Boltzmann scheme, Diffusion problems, Coupling techniques.

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