output
20202026
most citedNumerical approximations of a lattice Boltzmann scheme with a family of partial differential equations

1 citations

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math.AP2026

Isotropy and Galilean invariance of Lattice Boltzmann Method: Theoretical and numerical analysis using oblique dipole benchmark *

François Dubois, Souleymane Kadri Harouna, Pierre Lallemand +1

This work focuses on the two-dimensional, nine-velocity (D2Q9) lattice Boltzmann model. First, we show that the D2Q9 scheme cannot achieve secondorder accuracy unless the cubic vel…

math.AP2026

A lattice Boltzmann scheme with equilateral triangles for diffusion and acoustics

Francois Dubois, Pierre Lallemand

This contribution studies the Boltzmann scheme on a ``D2T4''grid constructed on meshes using equilateral triangles. The center of each triangle is connected to itself and to three…