Stability analysis of the vectorial Lattice-Boltzmann method

We perform a stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM has been introduced in [1–3, 9, 18]. It is a variant of the LBM with extended stability features: it allows handling 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.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-11-18
DOI
https://doi.org/10.1051/proc/202477046/pdf
Primary Topic
Lattice Boltzmann Simulation Studies
Type
article
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article

Stability analysis of the vectorial Lattice-Boltzmann method

Springer Link (Chiba Institute of Technology)
Lattice Boltzmann Simulation Studies
article

Stability analysis of the vectorial Lattice-Boltzmann method

article en

Abstract

We perform a stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM has been introduced in [1–3, 9, 18]. It is a variant of the LBM with extended stability features: it allows handling 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.

Springer Link (Chiba Institute of Technology)
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Lattice Boltzmann Simulation Studies
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Stability analysis of the vectorial Lattice-Boltzmann method · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS