Müller, Henning ; Panov, Justinijan ; Müller, Ralf (2024)
Improvement of the stability with a TRT‐collision scheme in a Lattice Boltzmann method for elastic solids.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 24 (4)
doi: 10.1002/pamm.202400108
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In recent years, Lattice Boltzmann (LB) schemes have been adapted to the simulation of elastodynamics. The resulting methods show promising characteristics, especially the computational efficiency and the scaling to large systems. A constitutive model is needed for solids, which is captured by a source term in the LB formulation. However, this approach leads to problems with the numerical stability for a large regime of material parameters. In this publication, a linear elastic material model is regarded. This work regards the underlying reasons for instabilities. As a remedy, a two‐relaxation‐time collision operator is employed. Effects on the stability are examined through error measures of a dynamical simulation model.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Müller, Henning ; Panov, Justinijan ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Improvement of the stability with a TRT‐collision scheme in a Lattice Boltzmann method for elastic solids |
| Sprache: | Englisch |
| Publikationsjahr: | 18 November 2024 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM — Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 24 |
| (Heft-)Nummer: | 4 |
| Kollation: | 10 Seiten |
| DOI: | 10.1002/pamm.202400108 |
| Kurzbeschreibung (Abstract): | In recent years, Lattice Boltzmann (LB) schemes have been adapted to the simulation of elastodynamics. The resulting methods show promising characteristics, especially the computational efficiency and the scaling to large systems. A constitutive model is needed for solids, which is captured by a source term in the LB formulation. However, this approach leads to problems with the numerical stability for a large regime of material parameters. In this publication, a linear elastic material model is regarded. This work regards the underlying reasons for instabilities. As a remedy, a two‐relaxation‐time collision operator is employed. Effects on the stability are examined through error measures of a dynamical simulation model. |
| ID-Nummer: | Artikel-ID: e202400108 |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 18 Dez 2024 07:04 |
| Letzte Änderung: | 18 Dez 2024 07:15 |
| PPN: | 524701113 |
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