On algebraic TVD-VOF methods for tracking material interfaces

Pirozzoli, Sergio; Giorgio, Simone Di; Iafrati, Alessandro

doi:10.1016/j.compfluid.2019.05.013

Cited by 15 publications

(3 citation statements)

References 22 publications

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“…Details of the algorithm are provided in the original reference, Pirozzoli et al. (2019). After computing the colour function , density and viscosity are determined from where is a smoothed version of the colour function, evaluated by averaging over 27 neighbouring cells (Popinet 2009; Tryggvason et al.…”

Section: Computational Set-upmentioning

confidence: 99%

“…VOF formulation Since fluids are assumed to be immiscible, the advection of the material interface is carried out by means of an algebraic VOF method. The numerical scheme for the advection is based on a novel Courant-Friedrichs-Lewy-dependent flux limiter whereby the classical total-variation-diminishing (TVD) bounds are exceeded, thus enabling efficient and improved representation of binary functions (Pirozzoli, Di Giorgio & Iafrati 2019). The method yields perfectly crisp interfaces with very limited numerical atomization (flotsam and jetsam).…”

Section: Computational Set-upmentioning

confidence: 99%

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On coherent vortical structures in wave breaking

2022

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The flow generated by the breaking of free-surface waves in a periodic domain is simulated numerically with a gas–liquid Navier–Stokes solver. The solver relies on the volume-of-fluid method to account for different phases, and the interface tracking is carried out by using novel schemes based on a tailored total-variation-diminishing limiter. The numerical solver is proved to be characterized by a low numerical dissipation, thanks to the use of a scheme that guarantees energy conservation in the discrete form. Both two- and three-dimensional simulations have been performed, and the analysis is presented in terms of energy dissipation, air entrainment, bubble fragmentation, statistics and distribution. Particular attention is paid to the analysis of the mechanisms of viscous dissipation. To this purpose, coherent vortical structures, such as vortex tubes and vortex sheets, are identified, and the different behaviours of the vortex sheets and tubes at various Reynolds numbers are highlighted. The correlation between vortical structures and energy dissipation demonstrates clearly their close link both in the mixing zone and in the pure water domain, where the coherent structures propagate as a consequence of the downward transport. Notably, it is found that the dissipation is identified primarily by the vortex sheets, whereas the vortex tubes govern mainly the intermittency.

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Section: Computational Set-upmentioning

confidence: 99%

Section: Computational Set-upmentioning

confidence: 99%

On coherent vortical structures in wave breaking

2022

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“…The advection of the material interface is carried out by means of an algebraic VOF method. The numerical scheme for the advection is based on a total variation diminishing (TVD) discretization with flux limiter tailored for effective representation of binary functions [19].…”

Section: Numerical Formulationmentioning

confidence: 99%

Simulations of vertical sloshing in a partially filled rectangular tank subjected to time-periodic excitation

Rossi

2023

Materials Research Proceedings

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Abstract. An in-house Navier-Stokes multiphase VOF (Volume-Of-Fluid) solver is used to study sloshing phenomena in a partially filled rectangular tank subjected to vertical sinusoidal excitation. The flow dynamics is found to be significantly affected by vertical acceleration and forcing frequency. Specifically, when the acceleration is strong and the excitation frequency is low, the flow exhibits a more chaotic and three-dimensional nature. Consequently, certain properties such as the energy dissipation and the mixing efficiency of the system are poorly predicted by two-dimensional simulations in that range of parameters, making more expensive three-dimensional simulations necessary. The time history of the sloshing force and instantaneous flow visualizations are used to analyze the effects of liquid impacting on the walls on energy exchanges between the fluid and the tank. Finally, the evolution of mixing efficiency and its influence on the energy losses are discussed.

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