An analytical interface reconstruction algorithm in the PLIC‐VOF method for 2D polygonal unstructured meshes

Dai, Dezhi; Tong, Albert Y.

doi:10.1002/fld.4664

Cited by 15 publications

(17 citation statements)

References 21 publications

(49 reference statements)

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“…In a recent study of a 2D dam‐breaking problem by the authors, the interface reconstruction step has been found to consume around 40% of the overall computational time which justifies its optimization. This study is a 3D extension of the previous 2D analytical interface reconstruction algorithm developed by the authors. The proposed standard algorithm, which is easy for implementation, has been integrated into the framework of OpenFOAM and released as an open‐source extension to OpenFOAM under the name of interPlicFoam .…”

Section: Numerical Tests and Simulation Resultsmentioning

confidence: 99%

Section: Numerical Tests and Simulation Resultsmentioning

confidence: 99%

“…All of the intersection points

V_{j}^{l}

and

V_{j}^{u} false(j = 1, m false)

are then computed on the intersected edges. The computation algorithm for the intersection points presented in the work of Dai and Tong is adopted.…”

Section: Numerical Formulationsmentioning

confidence: 99%

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Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes

Dai

Tong

2019

Numerical Methods in Fluids

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Summary Piecewise linear interface calculation (PLIC) schemes have been extensively employed in the volume‐of‐fluid (VOF) method for interface capturing in numerical simulations of multiphase flows. Polyhedral unstructured meshes are often adopted due to their geometric flexibility and superiority in gradient calculation. Four analytical interface reconstruction algorithms in the PLIC‐VOF method for arbitrary convex polyhedral cells have been proposed in this study. The plane interface at a given orientation within a polyhedral cell is located by four different analytical techniques. They have been tested successfully for six different geometric shapes that are common in polyhedral meshes. The computational efficiencies of the algorithms have been compared with two other published schemes in the literature. The proposed algorithms have been shown to yield smaller truncation errors with reduction in computational complexity. A numerical simulation of a 3D dam‐breaking problem has been successfully performed using the proposed interface reconstruction scheme on a polyhedral mesh. The percentage of the overall computational time consumed has been assessed to justify its optimization in a real multiphase flow simulation.

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Section: Numerical Tests and Simulation Resultsmentioning

confidence: 99%

Section: Numerical Tests and Simulation Resultsmentioning

confidence: 99%

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Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes

Dai

Tong

2019

Numerical Methods in Fluids

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“…Therefore, the bubble bursting model based on PLIC-VOF is used to track the bubble movement to simulate the bubble deformation and bursting progress. The bubble bursting process is a complicated physical and chemical process, which is accompanied by a local high temperature and pressure [34,35]. The law of conservation of energy is expressed as:…”

Section: Flow Field Governing Equationsmentioning

confidence: 99%

Dynamic Characteristics and Wall Effects of Bubble Bursting in Gas-Liquid-Solid Three-Phase Particle Flow

Wang

et al. 2020

Processes

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The bubble bursting process existing in the particle flow is a complex gas-liquid-solid three-phase coupling dynamic problem. The bubble bursting mechanism, including dynamic characteristics and wall effects, is not clear. To address the above matters, we present a modeling method for the piecewise linear interface calculation-volume of fluid (PLIC-VOF) based bubble burst. The bubble bursting process near or on the wall is analyzed to reveal the dynamic characteristics of bubble bursting and obtain the effect of a bubble bursting on the surrounding flow field. Then a particle image velocimetry (PIV) based self-developed experimental observation platform is established, and the effectiveness of the proposed method is verified. Research results indicate that, in the high-speed turbulent environment, a large pressure difference existed in the bubble tail, which induces the bubble burst to occur; the distance between the wall and the bubble decreases; the higher the flow velocity is, the less time is acquired for bubble bursting, but when the flow velocity exceeds the critical velocity 50 m/s, more time is needed; the coalescence-burst process of double bubbles increases the bubble bursting time, which causes the acceleration of particle motion to reduce.

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“…The limitation of the Lagrangian finite element algorithm is that it cannot simulate the fracture of the liquid filament and the change after the fracture. The VOF method has been proven to be able to simulate the changes of complex interfaces more accurately [28][29][30][31]. Huang et al used the VOF method to simulate the liquid transfer process between two parallel plates, trapezoidal cells, and a moving plate [32].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Shear-Thickening Liquid Transfer between U-Shaped Cell and Flat Plate

Dong

Xing

et al. 2021

Processes

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Based on the actual measurement of the shear-thickening properties of water-based inks, in order to improve the ink transfer rate, the PLIC (Piecewise Linear Interface Construction) interface tracking method and the VOF (Volume of Fluid) method are used to simulate the transfer process of the shear-thickening liquid between the U-shaped cell and the upwardly moving plate. The effects of substrate surface wettability, cell contact angle, and cell depth on liquid transfer were studied. The results showed that all can increase the liquid transfer rate, and the change of the cell contact angle also led to the difference in the breaking time of the liquid filament. In addition, the shallow plate effect was discovered in the study of cell depth. The shallow plate effect is a phenomenon by which the amount of liquid transferred and the liquid transfer rate are greatly improved when the depth of the cell decreases to a certain limit value. In addition, for the U-shaped cell, the optimization method combining the shallow printing plate effect and fillet can greatly improve the liquid transfer rate and solve the undesirable problems such as plate blocking. After optimization, a liquid transfer rate of about 85% can be achieved.

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An analytical interface reconstruction algorithm in the PLIC‐VOF method for 2D polygonal unstructured meshes

Cited by 15 publications

References 21 publications

Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes

Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes

Dynamic Characteristics and Wall Effects of Bubble Bursting in Gas-Liquid-Solid Three-Phase Particle Flow

Simulation of Shear-Thickening Liquid Transfer between U-Shaped Cell and Flat Plate

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