Joubert, Johannes ChristoffelWilke, Daniel NicolasPizette, Patrick2024-05-302024-05-302023-04Joubert, 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/mca28020051.1300-686X (print)2297-8747 (online)10.3390/mca28020051http://hdl.handle.net/2263/96293This 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© 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/).Generalized finite difference (GFD)Meshless Lagrangian method (MLM)IncompressibleMultiphaseHigh density ratioSDG-09: Industry, innovation and infrastructureArticle