A nonlocal formulation for weakly compressible fluid

authored by

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.

Organisation(s)

Institute of Continuum Mechanics

External Organisation(s)

Bauhaus-Universität Weimar

Type

Contribution to book/anthology

Pages

835-850

No. of pages

16

Publication date

21.02.2018

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Automotive Engineering, Aerospace Engineering, Mechanical Engineering, Fluid Flow and Transfer Processes

Electronic version(s)

https://doi.org/10.1007/978-981-10-7149-2_59 (Access: Closed)

 

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