Lattice Boltzmann‐based single‐phase method for free surface tracking of droplet motions

Xing, Xiuqing; Butler, David; Yang, Chun

doi:10.1002/fld.1282

Cited by 19 publications

(5 citation statements)

References 51 publications

(54 reference statements)

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“…While the accuracy of the LBM is well-understood [16][17][18], only very few results have been reported addressing the accuracy of the FSLBM's advection scheme or its validity to simulate surface tension. Nevertheless, the approach has found numerous applications in surface tension driven complex flow scenarios [19][20][21][22][23] and even high Reynolds number flows [24,25]. Hence, in the present paper we evaluate the accuracy of the FSLBM in surface tension driven flows, and also discuss existing limitations due to the original advection scheme.…”

Section: Introductionmentioning

confidence: 99%

Curvature estimation from a volume-of-fluid indicator function for the simulation of surface tension and wetting with a free-surface lattice Boltzmann method

2016

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The free surface lattice Boltzmann method (FSLBM) is a combination of the hydrodynamic lattice Boltzmann method with a volume-of-fluid (VOF) interface capturing technique for the simulation of incompressible free surface flows. Capillary effects are modeled by extracting the curvature of the interface from the VOF indicator function and imposing a pressure jump at the free boundary. However, obtaining accurate curvature estimates from a VOF description can introduce significant errors. This article reports numerical results for three different surface tension models in standard test cases and compares the according errors in the velocity field (spurious currents). Furthermore, the FSLBM is shown to be suited to simulate wetting effects at solid boundaries. To this end, a new method is developed to represent wetting boundary conditions in a least-squares curvature reconstruction technique. The main limitations of the current FSLBM are analyzed and are found to be caused by its simplified advection scheme. Possible improvements are suggested.

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Section: Introductionmentioning

confidence: 99%

Curvature estimation from a volume-of-fluid indicator function for the simulation of surface tension and wetting with a free-surface lattice Boltzmann method

2016

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“…Among the applications for PLIC are Volume-of-Fluid simulation codes such as Flu-idX3D [6][7][8] and others [9][10][11][12][13][14][15][16][17][18][19], often in conjunction with GPU implementations [6][7][8][20][21][22][23][24][25][26] of the lattice Boltzmann method [27][28][29], used for simulating free surface fluid flows. In particular, these simulations work on a cubic lattice, with every lattice point having a fill level assigned to it, and PLIC is used in the process of surface reconstruction during curvature calculation for calculating physical surface tension effects [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Analytic Solution to the Piecewise Linear Interface Construction Problem and Its Application in Curvature Calculation for Volume-of-Fluid Simulation Codes

Lehmann

Gekle

2022

Computation

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The plane–cube intersection problem has been discussed in the literature since 1984 and iterative solutions to it have been used as part of piecewise linear interface construction (PLIC) in computational fluid dynamics simulation codes ever since. In many cases, PLIC is the bottleneck of these simulations regarding computing time, so a faster analytic solution to the plane–cube intersection would greatly reduce the computing time for such simulations. We derive an analytic solution for all intersection cases and compare it to the previous solution from Scardovelli and Zaleski (Scardovelli, R.; Zaleski, S. Analytical relations connecting linear interfaces and volume fractions in rectangular grids. J. Comput. Phys. 2000, 164, 228–237), which we further improve to include edge cases and micro-optimize to reduce arithmetic operations and branching. We then extend our comparison regarding computing time and accuracy to include two different iterative solutions as well. We find that the best choice depends on the employed hardware platform: on the CPU, Newton–Raphson is fastest with compiler optimization enabled, while analytic solutions perform better than iterative solutions without. On the GPU, the fastest method is our optimized version of the analytic SZ solution. We finally provide details on one of the applications of PLIC—curvature calculation for the Volume-of-Fluid model used for free surface fluid simulations in combination with the lattice Boltzmann method.

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“…Thus, the second phase does not account for the overall computational costs and the problem of high density ratios, which is a limiting factor in lattice Boltzmann multiphase approaches [1], becomes obsolete. In recent years the FSLBM has been successfully applied to a number of problems like material foaming [19], droplet motions [30], rising bubbles [8], and offshore dynamics with grid refinement [17,18].…”

Section: Introductionmentioning

confidence: 99%

Free surface lattice Boltzmann with enhanced bubble model

Anderl

Bogner

Rauh

et al. 2014

Computers & Mathematics with Applications

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This paper presents an enhancement to the free surface lattice Boltzmann method (FSLBM) for the simulation of bubbly flows including rupture and breakup of bubbles. The FSLBM uses a volume of fluid approach to reduce the problem of a liquid-gas two-phase flow to a single-phase free surface simulation. In bubbly flows compression effects leading to an increase or decrease of pressure in the suspended bubbles cannot be neglected. Therefore, the free surface simulation is augmented by a bubble model that supplies the missing information by tracking the topological changes of the free surface in the flow. The new model presented here is capable of handling the effects of bubble breakup and coalesce without causing a significant computational overhead. Thus, the enhanced bubble model extends the applicability of the FSLBM to a new range of practically relevant problems, like bubble formation and development in chemical reactors or foaming processes.

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Lattice Boltzmann‐based single‐phase method for free surface tracking of droplet motions

Cited by 19 publications

References 51 publications

Curvature estimation from a volume-of-fluid indicator function for the simulation of surface tension and wetting with a free-surface lattice Boltzmann method

Curvature estimation from a volume-of-fluid indicator function for the simulation of surface tension and wetting with a free-surface lattice Boltzmann method

Analytic Solution to the Piecewise Linear Interface Construction Problem and Its Application in Curvature Calculation for Volume-of-Fluid Simulation Codes

Free surface lattice Boltzmann with enhanced bubble model

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