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Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 346086
Title Finite Boltzmann schemes
Author(s) Sman, R.G.M. van der
Source Computers & Fluids 35 (2006)8-9. - ISSN 0045-7930 - p. 849 - 854.
DOI https://doi.org/10.1016/j.compfluid.2005.07.019
Department(s) AFSG Quality in Chains
Publication type Refereed Article in a scientific journal
Publication year 2006
Keyword(s) lattice boltzmann - diffusion lattice - equation
Abstract In the special case of relaxation parameter = 1 lattice Boltzmann schemes for (convection) diffusion and fluid flow are equivalent to finite difference/volume (FD) schemes, and are thus coined finite Boltzmann (FB) schemes. We show that the equivalence is inherent to the homology of the Maxwell-Boltzmann constraints for the equilibrium distribution, and the constraints for finite difference stencils as derived from Taylor series expansion. For convection¿diffusion we analyse the equivalence between FB and the Lax¿Wendroff FD scheme in detail. It follows that the Lax-Wendroff procedure is performed automatically in the finite Boltzmann schemes via the imposed Maxwell¿Boltzmann constraints. Furthermore, we make some remarks on FB schemes for fluid flows, and show that an earlier related study can be extended to rectangular grids. Finally, our findings are briefly checked with simulations of natural convection in a differentially heated square cavity.
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