3 papers
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…
math.NA2024
Theory of the lattice Boltzmann method: discrete effects due to advection
Pierre Lallemand, François Dubois, Li-shi Luo
Lattice Boltzmann models are briefly introduced together with references to methods used to predict their ability for simulations of systems described by partial differential equat…