45 citations · 140 across the 12 of their papers we have counts for
4 papers · 1 filter
On a superconvergent lattice Boltzmann boundary scheme
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
In a seminal paper Ginzburg and Adler analyzed the bounce-back boundary conditions for the lattice Boltzmann scheme and showed that it could be made exact to second order for the P…
On triangular lattice Boltzmann schemes for scalar problems
François Dubois, Pierre Lallemand
We propose to extend the d'Humiéres version of the lattice Boltzmann scheme to triangular meshes. We use Bravais lattices or more general lattices with the property that the degree…
On rotational invariance of lattice Boltzmann schemes
Adeline Augier, François Dubois, Benjamin Graille +1
We propose the derivation of acoustic-type isotropic partial differential equations that are equivalent to linear lattice Boltzmann schemes with a density scalar field and a moment…
Comparison of Simulations of Convective Flows
Pierre Lallemand, François Dubois
We show that a single particle distribution for the D2Q13 lattice Boltzmann scheme can simulate coupled effects involving advection and diffusion of velocity and temperature. We co…