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Preprints, Working Papers, ... Year : 2023

Stability analysis of the vectorial lattice-Boltzmann method

Abstract

We propose a new stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM is a variant of the LBM with extended stability features: it allows to handle compressible flows with shock waves, while the LBM is limited to low-Mach number regime. The stability analysis is based on the Legendre transform theory. We also propose a new tool: the equivalent system analysis, which we conjecture to contains both the stability and the consistency of the VLBM.
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Dates and versions

hal-03986533 , version 1 (13-02-2023)
hal-03986533 , version 2 (04-05-2023)
hal-03986533 , version 3 (14-02-2024)

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Kévin Guillon, Romane Hélie, Philippe Helluy. Stability analysis of the vectorial lattice-Boltzmann method. 2023. ⟨hal-03986533v3⟩
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