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arXiv · 2607.24059

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations

Denise Aregba-Driollet·Thomas Bellotti·Roberto Natalini·Tommaso Tenna
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Abstract

We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed by Carfora and Natalini [ESAIM: M2AN, 42(1), 93-112, 2008]. Advantages and drawbacks compared to relaxation schemes are investigated by providing spectral analyses in the linearized case, and numerical validations on the genuinely non-linear problem.

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Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini, Tommaso Tenna. 2026-07-27. A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations. https://arxiv.org/abs/2607.24059

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