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Numerical modeling of liquid spills from the damaged container and collision of two rising bubbles in partially filled enclosure using modified Volume-Of-Fluid (VOF) method

Tarek Merabtene, Faroogh Garoosi and Tew-Fik Mahdi

Article (2023)

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In the present work, two crucial shortcomings associated with Volume-Of-Fluid (VOF) model namely: (1) spurious interface smearing arising from false-diffusion errors, and (2) non-physical velocity fluctuation across the physical discontinuities, are systematically addressed, aiming to establish a unique methodological foundation and guidelines for the enhancement of interface-capturing techniques in handling multi-fluid flows. To accomplish this objective, first, a novel third-order bounded convection scheme is derived based on the Normalized Variable Diagram and Total Variation Diminishing concepts (NVD-TVD) and is then applied for the discretization of the volume-fraction equation. To cope with the instability issue induced by pressure fluctuation, the standard version of the implicit non-iterative PISO algorithm is first modified by incorporating the third pressure-correction step into the algorithm and is then utilized for the treatment of the pressure-velocity coupling. A feasibility and applicability of the proposed modifications in dealing with violent free-surface and multi-fluid flows are demonstrated against the five different challenging benchmark cases including two-dimensional dam-break flow over the dry bed, oil spill from the damaged container, single bubble rising, merging of two rising bubbles and two-fluid Rayleigh-Taylor Instability problems. The comparison of the obtained results with previously published literatures vividly corroborates the robustness and versatility of the modified VOF model in handling multi-fluid flows involving interface coalescence and breakup events. In the last staged, three new benchmark solutions namely (1) coalescence of two consecutive bubbles inside the partially filled enclosure, (2) two-dimensional three-fluid Rayleigh-Taylor Instability, and (3) oil/water spilling from the damaged tank are analyzed using the verified VOF method, aiming to provide a high-quality validation data for CFD simulations.

Uncontrolled Keywords

Third-order NVD-TVD bounded convection scheme; Modified PISO algorithm (MPISO); Multi-fluid flows; ELVIRA technique; Improved VOF model; 2D Bubble rising

Subjects: 2200 Fluid mechanics > 2200 Fluid mechanics
2200 Fluid mechanics > 2203 Modelling, simulation
Department: Department of Civil, Geological and Mining Engineering
Grant number: RGPIN-2021-03272
PolyPublie URL: https://publications.polymtl.ca/53451/
Journal Title: Engineering Analysis with Boundary Elements (vol. 154)
Publisher: Elsevier
DOI: 10.1016/j.enganabound.2023.05.037
Official URL: https://doi.org/10.1016/j.enganabound.2023.05.037
Date Deposited: 29 May 2023 12:04
Last Modified: 13 Jun 2023 22:38
Cite in APA 7: Merabtene, T., Garoosi, F., & Mahdi, T.-F. (2023). Numerical modeling of liquid spills from the damaged container and collision of two rising bubbles in partially filled enclosure using modified Volume-Of-Fluid (VOF) method. Engineering Analysis with Boundary Elements, 154, 83-121. https://doi.org/10.1016/j.enganabound.2023.05.037


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