Abstract
We show how a lattice Boltzmann (LB) scheme can be spatially coupled with a finite difference (FD) scheme in order to solve the same problem. The typical situation we consider is a computational domain which is partitioned in two regions. The same spatio-temporal 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 2D domain.
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Keywords
- Finite Difference
- Cellular Automaton
- Finite Difference Scheme
- Finite Difference Method
- Lattice Boltzmann
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References
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© 2004 Springer-Verlag Berlin Heidelberg
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Albuquerque, P., Alemani, D., Chopard, B., Leone, P. (2004). Coupling a Lattice Boltzmann and a Finite Difference Scheme. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science - ICCS 2004. ICCS 2004. Lecture Notes in Computer Science, vol 3039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25944-2_70
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DOI: https://doi.org/10.1007/978-3-540-25944-2_70
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22129-6
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