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math.AP2019★ 2 cited
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…
math.AP2013
On hyperbolic systems with entropy velocity covariant under the action of a group
François Dubois
For hyperbolic systems of conservation laws in one space dimension with a mathematical entropy, we define the notion of entropy velocity. Then we give sufficient conditions for suc…
math.AP2011
Linear Lattice Boltzmann Schemes for Acoustic: parameters choices and isotropy properties
Adeline Augier, François Dubois, Benjamin Graille
In this paper, we investigate the numerous parameters choices for linear lattice Boltzmann schemes according to the definition of the isotropic order given in \cite{ADG11}. This pr…