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

1 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

6 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…

math.NA2024★ 1 cited

Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations

Bruce M Boghosian, François Dubois, Pierre Lallemand

In this contribution, we address the numerical solutions of high-order asymptotic equivalent partial differential equations with the results of a lattice Boltzmann scheme for an in…

math.NA2023

General fourth order Chapman-Enskog expansion of lattice Boltzmann schemes

François Dubois, Bruce M Boghosian, Pierre Lallemand

In order to derive the equivalent partial differential equations of a lattice Boltzmann scheme,the Chapman Enskog expansion is very popular in the lattive Boltzmann community. A ma…

math.NA2020

Unexpected convergence of lattice Boltzmann schemes

Bruce Boghosian, François Dubois, Benjamin Graille +2

In this work, we study numerically the convergence of the scalar D2Q9 lattice Boltzmann scheme with multiple relaxation times when the time step is proportional to the space step a…