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 ORCID logoORCID: https://orcid.org/0000-0003-0474-0279;
    Item type:Article
    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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