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New benchmark problems for validation and verification of incompressible multi-fluid flows based on the improved Volume-Of-Fluid (VOF) method

Faroogh Garoosi, Tew-Fik Mahdi

Article (2022)

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Abstract

The present work describes the application of the improved Volume-Of-Fluid (VOF) method for the accurate capturing of phase interfaces in the problems of three-fluid bubble rising, water/oil droplets impacting onto wetted beds, three-fluid Rayleigh-Taylor Instability and merging of two rising bubbles, aiming to establish powerful benchmarking tools for validation of existing numerical models and code verification problems. To this end, an enhance version of the VOF model is exploited where a novel third-order TVD convection scheme is utilized for the discretization of convection terms in the Navier-Stokes and transport equations while the combination of the implicit non-iterative PISO and classical SIMPLER algorithms (PISOR) is applied for the treatment of the pressure-velocity coupling and acceleration of the iteration process in the Poisson equation. A series of canonical test cases including dam break over a dry bed, single and double rising bubbles, two-phase Rayleigh-Taylor Instability are considered to verify the performance and accuracy of the numerical method. The obtained results vividly demonstrate the superiority and versatility of the improved VOF model over the classical Eulerian and Lagrangian methods in handling multiphase flows with relevant breaking and fragmentation. Moreover, it is found that, the standard version of Lagrangian SPH models can not accurately address the problem of interface smearing, and thereby characterizing by noisy pressure distribution.

Uncontrolled Keywords

TVD convection scheme; Hybrid PISOR algorithm; Multi-fluid flows; PLIC-VOF method; Droplet impacting; Bubble rising

Subjects: 1000 Civil engineering > 1005 Hydraulic engineering
2200 Fluid mechanics > 2203 Modelling, simulation
Department: Department of Civil, Geological and Mining Engineering
Funders: CRSNG/NSERC
Grant number: RGPIN-2021 03272
PolyPublie URL: https://publications.polymtl.ca/10397/
Journal Title: Colloids and Surfaces A: Physicochemical and Engineering Aspects (vol. 648)
Publisher: Elsevier
DOI: 10.1016/j.colsurfa.2022.129313
Official URL: https://doi.org/10.1016/j.colsurfa.2022.129313
Date Deposited: 26 Jul 2022 11:46
Last Modified: 20 Nov 2022 19:40
Cite in APA 7: Garoosi, F., & Mahdi, T.-F. (2022). New benchmark problems for validation and verification of incompressible multi-fluid flows based on the improved Volume-Of-Fluid (VOF) method. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 648, 129313 (31 pages). https://doi.org/10.1016/j.colsurfa.2022.129313

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