A generalized finite difference scheme for multiphase flow

dc.contributor.authorJoubert, Johannes Christoffel
dc.contributor.authorWilke, Daniel Nicolas
dc.contributor.authorPizette, Patrick
dc.contributor.emailu10688944@tuks.co.zaen_US
dc.date.accessioned2024-05-30T09:33:54Z
dc.date.available2024-05-30T09:33:54Z
dc.date.issued2023-04
dc.description.abstractThis paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studies are performed by simulating the relaxation of a square droplet surrounded by a light fluid and a bubble rising in a denser fluid. The scheme is also used to simulate the collision of binary droplets at moderate Reynolds numbers (250–550). The effects of the surface tension and density ratio are explored in this work by considering cases withWeber numbers of 8 and 180 and density ratios of 2:1 and 1000:1. The robustness of the multiphase scheme is highlighted when resolving thin fluid structures arising in both high and low density ratio cases at We = 180.en_US
dc.description.departmentMechanical and Aeronautical Engineeringen_US
dc.description.sdgSDG-09: Industry, innovation and infrastructureen_US
dc.description.sponsorshipUniversity of Pretoria Co-Funding Postdoctoral Fellowship Programme.en_US
dc.description.urihttp://www.mdpi.com/journal/mcaen_US
dc.identifier.citationJoubert, J.C.;Wilke, D.N.; Pizette, P. A Generalized Finite Difference Scheme for Multiphase Flow. Mathematical and Computational Applications. 2023, 28, 51. https://doi.org/10.3390/mca28020051.en_US
dc.identifier.issn1300-686X (print)
dc.identifier.issn2297-8747 (online)
dc.identifier.other10.3390/mca28020051
dc.identifier.urihttp://hdl.handle.net/2263/96293
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.rights© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).en_US
dc.subjectGeneralized finite difference (GFD)en_US
dc.subjectMeshless Lagrangian method (MLM)en_US
dc.subjectIncompressibleen_US
dc.subjectMultiphaseen_US
dc.subjectHigh density ratioen_US
dc.subjectSDG-09: Industry, innovation and infrastructureen_US
dc.titleA generalized finite difference scheme for multiphase flowen_US
dc.typeArticleen_US

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