Multi-phase fluid flow simulation by using peridynamic differential operator
Gao, Yan and Oterkus, Selda (2020) Multi-phase fluid flow simulation by using peridynamic differential operator. Ocean Engineering. ISSN 0029-8018 (In Press)
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Abstract
The problems of multi-phase fluid flows are often encountered in engineering. In this study, a non-local numerical model of multi-phase fluid flows in the Lagrangian description is developed. Based on the peridynamic theory, a peridynamic differential operator is proposed which can convert any arbitrary order of differentials into their integral form without calculating the peridynamic parameters. Therefore, the Navier-Stokes equations including the surface tension forces are reformulated into their integral form. Subsequently, an updated Lagrangian algorithm for solving the multi-phase fluid flow problems is proposed. Besides, the particle shifting technology and moving least square algorithm are also adopted to avoid the possible tension instability. Finally, several benchmark multi-phase fluid flow problems such as two-phase hydrostatic problem, two-phase Poiseuille flow, and 2D square droplet deformation are solved to validate the proposed non-local model. It can be concluded from the current study that the peridynamic differential operator can be applied as an alternative method for multi-phase fluid flow simulation.
Creators(s): |
Gao, Yan and Oterkus, Selda ![]() | Item type: | Article |
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ID code: | 73826 |
Keywords: | peridynamic differential operator, non-local model, multi-phase flows, N-S equations, surface tension force, Hydraulic engineering. Ocean engineering, Ocean Engineering |
Subjects: | Technology > Hydraulic engineering. Ocean engineering |
Department: | Faculty of Engineering > Naval Architecture, Ocean & Marine Engineering Strategic Research Themes > Measurement Science and Enabling Technologies Strategic Research Themes > Ocean, Air and Space |
Depositing user: | Pure Administrator |
Date deposited: | 15 Sep 2020 10:00 |
Last modified: | 17 Nov 2020 04:08 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/73826 |
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