Faust, Erik ; Schlüter, Alexander ; Müller, Henning ; Steinmetz, Felix ; Müller, Ralf (2024)
Dirichlet and Neumann boundary conditions in a lattice Boltzmann method for elastodynamics.
In: Computational Mechanics, 73
doi: 10.1007/s00466-023-02369-w
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Recently, Murthy et al. (Commun Comput Phys 2:23, 2017. http://dx.doi.org/10.4208/cicp.OA-2016-0259 ) and Escande et al. (Lattice Boltzmann method for wave propagation in elastic solids with a regular lattice: theoretical analysis and validation, 2020. arXiv.doi:1048550/ARXIV.2009.06404. arXiv:2009.06404) adopted the Lattice Boltzmann Method (LBM) to model the linear elastodynamic behaviour of isotropic solids. The LBM is attractive as an elastodynamic solver because it can be parallelised readily and lends itself to finely discretised simulations of dynamic effects in continua, allowing transient phenomena such as wave propagation to be modeled efficiently. This work proposes simple local boundary rules which approximate the behaviour of Dirichlet and Neumann boundary conditions with an LBM for elastic solids. The boundary rules are shown to be consistent with the target boundary values in the first …
Typ des Eintrags: | Artikel |
---|---|
Erschienen: | 2024 |
Autor(en): | Faust, Erik ; Schlüter, Alexander ; Müller, Henning ; Steinmetz, Felix ; Müller, Ralf |
Art des Eintrags: | Bibliographie |
Titel: | Dirichlet and Neumann boundary conditions in a lattice Boltzmann method for elastodynamics |
Sprache: | Englisch |
Publikationsjahr: | 2024 |
Ort: | Berlin |
Verlag: | Springer |
Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computational Mechanics |
Jahrgang/Volume einer Zeitschrift: | 73 |
Kollation: | 23 Seiten |
DOI: | 10.1007/s00466-023-02369-w |
Kurzbeschreibung (Abstract): | Recently, Murthy et al. (Commun Comput Phys 2:23, 2017. http://dx.doi.org/10.4208/cicp.OA-2016-0259 ) and Escande et al. (Lattice Boltzmann method for wave propagation in elastic solids with a regular lattice: theoretical analysis and validation, 2020. arXiv.doi:1048550/ARXIV.2009.06404. arXiv:2009.06404) adopted the Lattice Boltzmann Method (LBM) to model the linear elastodynamic behaviour of isotropic solids. The LBM is attractive as an elastodynamic solver because it can be parallelised readily and lends itself to finely discretised simulations of dynamic effects in continua, allowing transient phenomena such as wave propagation to be modeled efficiently. This work proposes simple local boundary rules which approximate the behaviour of Dirichlet and Neumann boundary conditions with an LBM for elastic solids. The boundary rules are shown to be consistent with the target boundary values in the first … |
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: | 05 Okt 2023 05:27 |
Letzte Änderung: | 15 Okt 2024 08:25 |
PPN: | 51264280X |
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