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)

[thumbnail of Gao-Oterkus-OE-2020-Multi-phase-fluid-flow-simulation-by-using-peridynamic-differential-operator]
Preview
 Text. Filename: Gao_Oterkus_OE_2020_Multi_phase_fluid_flow_simulation_by_using_peridynamic_differential_operator.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo
Download (1MB)| Preview

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.

ORCID iDs

Gao, Yan and Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279;
CORE (COnnecting REpositories)