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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.09813 |
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| _version_ | 1866913235049906176 |
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| author | Guillon, Kévin Hélie, Romane Helluy, Philippe |
| author_facet | Guillon, Kévin Hélie, Romane Helluy, Philippe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09813 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability analysis of the vectorial lattice-Boltzmann method Guillon, Kévin Hélie, Romane Helluy, Philippe Analysis of PDEs 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. |
| title | Stability analysis of the vectorial lattice-Boltzmann method |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.09813 |