45 citations · 140 across the 12 of their papers we have counts for
15 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…
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…
On single distribution lattice Boltzmann schemes for the approximation of Navier Stokes equations
François Dubois, Pierre Lallemand
In this contribution we study the formal ability of a multi-resolution-times lattice Boltzmann scheme to approximate isothermal and thermal compressible Navier Stokes equations wit…
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…
Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
In a previous work, we have proposed a method for the analysis of the bounce back boundary condition with the Taylor expansion method in the linear case. In this work two new schem…
On anti bounce back boundary condition for lattice Boltzmann schemes
François Dubois, Pierre Lallemand, Mohamed-Mahdi Tekitek
In this contribution, we recall the derivation of the anti bounce back boundary condition for the D2Q9 lattice Boltzmann scheme. We recall various elements of the state of the art…
Curious convergence properties of lattice Boltzmann schemes for diffusion with acoustic scaling
Bruce Boghosian, François Dubois, Benjamin Graille +2
We consider the D1Q3 lattice Boltzmann scheme with an acoustic scale for the simulation of diffusive processes. When the mesh is refined while holding the diffusivity constant, we…
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…
Recovering the full Navier Stokes equations with lattice Boltzmann schemes
François Dubois, Benjamin Graille, Pierre Lallemand
We consider multi relaxation times lattice Boltzmann scheme with two particle distributions for the thermal Navier Stokes equations formulated with conservation of mass and momentu…
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…
Some results on energy-conserving lattice Boltzmann models
Pierre Lallemand, François Dubois
We consider the problem of ''energy conserving'' lattice Boltzmann models. A major difficulty observed in previous studies is the coupling between the viscous and thermal waves eve…
Quartic Parameters for Acoustic Applications of Lattice Boltzmann Scheme
François Dubois, Pierre Lallemand
Using the Taylor expansion method, we show that it is possible to improve the lattice Boltzmann method for acoustic applications. We derive a formal expansion of the eigenvalues of…