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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 et Tew-Fik Mahdi

Article de revue (2023)

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Abstract

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.

Mots clés

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

Sujet(s): 2200 Mécanique des fluides > 2200 Mécanique des fluides
2200 Mécanique des fluides > 2203 Modélisation et simulation
Département: Département des génies civil, géologique et des mines
Organismes subventionnaires: CRSNG/NSERC
Numéro de subvention: RGPIN-2021-03272
URL de PolyPublie: https://publications.polymtl.ca/53451/
Titre de la revue: Engineering Analysis with Boundary Elements (vol. 154)
Maison d'édition: Elsevier
DOI: 10.1016/j.enganabound.2023.05.037
URL officielle: https://doi.org/10.1016/j.enganabound.2023.05.037
Date du dépôt: 29 mai 2023 12:04
Dernière modification: 25 sept. 2024 23:41
Citer en 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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