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arXiv · 2402.09813

Stability analysis of the vectorial lattice-Boltzmann method

Kévin Guillon·Romane Hélie·Philippe Helluy
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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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Kévin Guillon, Romane Hélie, Philippe Helluy. 2024-02-15. Stability analysis of the vectorial lattice-Boltzmann method. https://arxiv.org/abs/2402.09813

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