3 papers
math.NA2014
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…
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…
math.NA2011
Isotropy conditions for lattice Boltzmann schemes. Application to D2Q9
Adeline Augier, François Dubois, Benjamin Graille
In this paper, we recall the linear version of the lattice Boltzmann schemes in the framework proposed by d'Humiéres. According to the equivalent equations we introduce a definitio…