22 citations · 22 across the 1 of their papers we have counts for
3 papers
On lattice Boltzmann scheme, finite volumes and boundary conditions
François Dubois, Pierre Lallemand
We develop the idea that a natural link between Boltzmann schemes and finite volumes exists naturally: the conserved mass and momentum during the collision phase of the Boltzmann s…
A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme
Filipa Caetano, François Dubois, Benjamin Graille
We consider a mono-dimensional two-velocities scheme used to approximate the solutions of a scalar hyperbolic conservative partial differential equation. We prove the convergence o…
Lattice Boltzmann model approximated with finite difference expressions
François Dubois, Pierre Lallemand, Christian Obrecht +1
We show that the asymptotic properties of the link-wise artificial compressibility method are not compatible with a correct approximation of fluid properties. We propose to adapt t…