Third order equivalent equation for the relative velocity lattice Boltzmann schemes with one conservation law

2015/02/07 by Graille, Benjamin, Dubois, François, Fevrier, Tony
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1502.02143

Abstract

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 parametrized by a velocity field function of space and time. We deal with the asymptotics of the relative velocity schemes for one conservation law: the third order equivalent equation is exposed for an arbitrary number of dimensions and velocities.

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