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...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2024-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407703.pdf |
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| author | Guillon Kévin Hélie Romane Helluy Philippe |
| author_facet | Guillon Kévin Hélie Romane Helluy Philippe |
| author_sort | Guillon Kévin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3f094f4125ad4ab0bdad352d404e891d |
| institution | OA Journals |
| issn | 2267-3059 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj-art-3f094f4125ad4ab0bdad352d404e891d2025-08-20T02:36:06ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592024-01-0177467810.1051/proc/202477046proc2407703Stability analysis of the vectorial Lattice-Boltzmann methodGuillon Kévin0Hélie RomaneHelluy Philippe1Institut de Mathématiques de Bordeaux, CNRS, UMR 5251Université de Strasbourg, CNRS, IRMA UMR 7501, Inria TonusWe 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.https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407703.pdf |
| spellingShingle | Guillon Kévin Hélie Romane Helluy Philippe Stability analysis of the vectorial Lattice-Boltzmann method ESAIM: Proceedings and Surveys |
| title | Stability analysis of the vectorial Lattice-Boltzmann method |
| title_full | Stability analysis of the vectorial Lattice-Boltzmann method |
| title_fullStr | Stability analysis of the vectorial Lattice-Boltzmann method |
| title_full_unstemmed | Stability analysis of the vectorial Lattice-Boltzmann method |
| title_short | Stability analysis of the vectorial Lattice-Boltzmann method |
| title_sort | stability analysis of the vectorial lattice boltzmann method |
| url | https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407703.pdf |
| work_keys_str_mv | AT guillonkevin stabilityanalysisofthevectoriallatticeboltzmannmethod AT helieromane stabilityanalysisofthevectoriallatticeboltzmannmethod AT helluyphilippe stabilityanalysisofthevectoriallatticeboltzmannmethod |