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Stability of a bidimensional relative velocity lattice Boltzmann scheme
François Dubois, Tony Février, Benjamin Graille
In this contribution, we study the theoretical and numerical stability of a bidimensional relative velocity lattice Boltzmann scheme. These relative velocity schemes introduce a ve…
On the stability of a relative velocity lattice Boltzmann scheme for compressible Navier-Stokes equations
François Dubois, Tony Fevrier, Benjamin Graille
This paper studies the stability properties of a two dimensional relative velocity scheme for the Navier-Stokes equations. This scheme inspired by the cascaded scheme has the parti…
Third order equivalent equation for the relative velocity lattice Boltzmann schemes with one conservation law
Benjamin Graille, François Dubois, Tony Fevrier
We study the formal precision of the relative velocity lattice Boltzmann schemes. They differ from the d'Humières schemes by their relaxation phase: it occurs for a set of moments…
Lattice Boltzmann schemes with relative velocities
François Dubois, Tony Fevrier, Benjamin Graille
In this contribution, a new class of lattice Boltzmann schemes is introduced and studied. These schemes are presented in a framework that generalizes the multiple relaxation times…