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Dirichlet and Neumann boundary conditions in a lattice Boltzmann method for elastodynamics

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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