Lattice Boltzmann Method for Antiplane Shear with Non-Mesh Conforming Boundary Conditions
- 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.
Author: | Henning Müller, Alexander Schlüter, Ralf Müller |
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URN: | urn:nbn:de:hbz:386-kluedo-80327 |
DOI: | https://doi.org/10.1002/pamm.202100073 |
ISSN: | 1617-7061 |
Parent Title (English): | Proceedings in Applied Mathematics and Mechanics |
Publisher: | Wiley |
Document Type: | Article |
Language of publication: | English |
Date of Publication (online): | 2024/04/16 |
Year of first Publication: | 2021 |
Publishing Institution: | Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau |
Date of the Publication (Server): | 2024/04/16 |
Issue: | 21/1 |
Page Number: | 2 |
Source: | https://onlinelibrary.wiley.com/doi/10.1002/pamm.202100073 |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Maschinenbau und Verfahrenstechnik |
DDC-Cassification: | 6 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften und Maschinenbau |
Collections: | Open-Access-Publikationsfonds |
Licence (German): | Zweitveröffentlichung |