Müller, Henning ; Schlüter, Alexander ; Müller, Ralf (2021)
Lattice Boltzmann Method for Antiplane Shear with Non-Mesh Conforming Boundary Conditions.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 21 (1)
doi: 10.1002/pamm.202100073
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Lattice Boltzmann methods 1 have been extended beyond their initial usage in transport problems, and can be used to solve a broader range of partial differential equations, e.g. the wave equation 2. Thereby they can be utilized for fracture mechanics 3. In the context of antiplane shear deformation we previously examined a stationary crack 4, 5 with a finite width. In this work we present two implementation strategies for non-mesh conforming boundary conditions, for which the bounding geometry does not need to adhere to the underlying lattice. This rectifies problems in modeling the crack. A numerical example shows the improvement compared to the previous results.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2021 |
| Autor(en): | Müller, Henning ; Schlüter, Alexander ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Lattice Boltzmann Method for Antiplane Shear with Non-Mesh Conforming Boundary Conditions |
| Sprache: | Englisch |
| Publikationsjahr: | 14 Dezember 2021 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM — Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 21 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1002/pamm.202100073 |
| URL / URN: | https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2021000... |
| Kurzbeschreibung (Abstract): | Lattice Boltzmann methods 1 have been extended beyond their initial usage in transport problems, and can be used to solve a broader range of partial differential equations, e.g. the wave equation 2. Thereby they can be utilized for fracture mechanics 3. In the context of antiplane shear deformation we previously examined a stationary crack 4, 5 with a finite width. In this work we present two implementation strategies for non-mesh conforming boundary conditions, for which the bounding geometry does not need to adhere to the underlying lattice. This rectifies problems in modeling the crack. A numerical example shows the improvement compared to the previous results. |
| Zusätzliche Informationen: | Artikel-ID: e202100073 |
| 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: | 04 Mai 2022 07:59 |
| Letzte Änderung: | 05 Mai 2022 05:49 |
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