Abstract
A general framework to extend the lattice Boltzmann equation to arbitrary lattice geometries is presented and numerically demonstrated for the case of a two-dimensional Poiseuille flow. The new scheme considerably extends the range of applicability of the Boltzmann method to problems requiring the use of nonuniform grids.
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Nannelli, F., Succi, S. The lattice Boltzmann equation on irregular lattices. J Stat Phys 68, 401–407 (1992). https://doi.org/10.1007/BF01341755
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DOI: https://doi.org/10.1007/BF01341755