Details
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the International Conference on Advances in Computational Mechanics 2017 |
| Publisher | Pleiades Publishing |
| Pages | 835-850 |
| Number of pages | 16 |
| Publication status | Published - 21 Feb 2018 |
Publication series
| Name | Lecture Notes in Mechanical Engineering |
|---|---|
| Volume | PartF3 |
| ISSN (Print) | 2195-4356 |
| ISSN (Electronic) | 2195-4364 |
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.
Keywords
- Dual-horizon, Nonlocal formulation, Weakly compressible fluid
ASJC Scopus subject areas
- Engineering(all)
- Automotive Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Mechanical Engineering
- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
Cite this
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Proceedings of the International Conference on Advances in Computational Mechanics 2017. Pleiades Publishing, 2018. p. 835-850 (Lecture Notes in Mechanical Engineering; Vol. PartF3).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - A nonlocal formulation for weakly compressible fluid
AU - Ren, Huilong
AU - Zhuang, Xiaoying
PY - 2018/2/21
Y1 - 2018/2/21
N2 - 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.
AB - 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.
KW - Dual-horizon
KW - Nonlocal formulation
KW - Weakly compressible fluid
UR - http://www.scopus.com/inward/record.url?scp=85042861010&partnerID=8YFLogxK
U2 - 10.1007/978-981-10-7149-2_59
DO - 10.1007/978-981-10-7149-2_59
M3 - Contribution to book/anthology
AN - SCOPUS:85042861010
T3 - Lecture Notes in Mechanical Engineering
SP - 835
EP - 850
BT - Proceedings of the International Conference on Advances in Computational Mechanics 2017
PB - Pleiades Publishing
ER -