Stability analysis of the vectorial lattice-Boltzmann method
Analysis of PDEs
2024-02-16 v1
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.
Cite
@article{arxiv.2402.09813,
title = {Stability analysis of the vectorial lattice-Boltzmann method},
author = {Kévin Guillon and Romane Hélie and Philippe Helluy},
journal= {arXiv preprint arXiv:2402.09813},
year = {2024}
}