A nonlocal formulation for weakly compressible fluid

verfasst von
Huilong Ren, Xiaoying Zhuang
Abstract

In this paper, we propose a nonlocal formulation for both solid and weakly compressible fluid. The nonlocal fluid formulation is based on the nonlocal interaction of each material point with its neighbors, which is analogous to the peridynamic theory, a nonlocal formulation for solid. By considering the direction of the interaction, the horizon and dual-horizon are defined, and the dual property between horizon and dual-horizon is proved. The nonlocal divergence is introduced, which enables to derive the nonlocal interaction with the local formulation. The formulations allow the varying horizon size and satisfy the conservation of linear momentum, angular momentum, and energy at the same time. Two numerical examples are tested to verify the accuracy of the current method.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Bauhaus-Universität Weimar
Typ
Beitrag in Buch/Sammelwerk
Seiten
835-850
Anzahl der Seiten
16
Publikationsdatum
21.02.2018
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Fahrzeugbau, Luft- und Raumfahrttechnik, Maschinenbau, Fließ- und Transferprozesse von Flüssigkeiten
Elektronische Version(en)
https://doi.org/10.1007/978-981-10-7149-2_59 (Zugang: Geschlossen)
 

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