123 citations · 377 across the 39 of their papers we have counts for
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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…
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…
A stability property for a mono-dimensional three velocities scheme with relative velocity
François Dubois, Benjamin Graille, S. V. Raghurama Rao
In this contribution, we study a stability notion for a fundamental linear one-dimensional lattice Boltzmann scheme, this notion being related to the maximum principle. We seek to…