Simulations of bubble growth and interaction in high viscous fluids using the lattice Boltzmann method

Cubeddu, A.; Rauh, Cornelia; Ulrich, V.

doi:10.1016/j.ijmultiphaseflow.2017.04.001

Cited by 8 publications

(5 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, an obvious alternative is to reconstruct only missing PDFs (OM), as in Figure 1D, without discarding any flow field information. While this variant's balance of forces has not been analyzed theoretically in the literature, several authors 6,18,[37][38][39][40][41][42][43] have used it without further reasoning.…”

Section: Only Missingmentioning

confidence: 99%

Analysis and comparison of boundary condition variants in the free‐surface lattice Boltzmann method

Schwarzmeier

Rüde

2023

Numerical Methods in Fluids

View full text Add to dashboard Cite

The accuracy of the free‐surface lattice Boltzmann method (FSLBM) depends significantly on the boundary condition employed at the free interface. Ideally, the chosen boundary condition balances the forces exerted by the liquid and gas pressure. Different variants of the same boundary condition are possible, depending on the number and choice of the particle distribution functions (PDFs) to which it is applied. This study analyzes and compares four variants, in which (i) the boundary condition is applied to all PDFs oriented in the opposite direction of the free interface's normal vector, including or (ii) excluding the central PDF. While these variants overwrite existing information, the boundary condition can also be applied (iii) to only missing PDFs without dropping available data or (iv) to only missing PDFs but at least three PDFs as suggested in the literature. It is shown that neither variant generally balances the forces exerted by the liquid and gas pressure at the free surface. The four variants' accuracy was compared in five different numerical experiments covering various applications. These include a standing gravity wave, a rectangular and cylindrical dam break, a rising Taylor bubble, and a droplet impacting a thin pool of liquid. Overall, variant (iii) was substantially more accurate than the other variants in the numerical experiments performed in this study.

show abstract

Section: Only Missingmentioning

confidence: 99%

Analysis and comparison of boundary condition variants in the free‐surface lattice Boltzmann method

Schwarzmeier

Rüde

2023

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

“…Therefore, an obvious alternative is to reconstruct only missing PDFs (OM), as in Figure 1d, without discarding any flow field information. While this variant's balance of forces has not been analyzed theoretically in the literature, several authors 6,9,26,27,28,29,30,31,32 have used it without further reasoning.…”

Section: Only Missing (Om)mentioning

confidence: 99%

“…With and as in definition (28), and the free-surface boundary condition according (18), the force balance ( 22) becomes…”

Section: A3 Only Missing (Om)mentioning

confidence: 99%

Analysis and comparison of boundary condition variants in the free-surface lattice Boltzmann method

Schwarzmeier¹,

Rüde²

2022

Preprint

View full text Add to dashboard Cite

The accuracy of the free-surface lattice Boltzmann method (FSLBM) depends significantly on the boundary condition employed at the free interface. Ideally, the chosen boundary condition balances the forces exerted by the liquid and gas pressure. Different variants of the same boundary condition are possible, depending on the number and choice of the particle distribution functions (PDFs) to which it is applied. This study analyzes and compares four variants, in which (i) the boundary condition is applied to all PDFs oriented in the opposite direction of the free interface's normal vector, including or (ii) excluding the central PDF. While these variants overwrite existing information, the boundary condition can also be applied (iii) to only missing PDFs without dropping available data or (iv) to only missing PDFs but at least three PDFs as suggested in the literature. It is shown that neither variant generally balances the forces exerted by the liquid and gas pressure at the free surface. The four variants' accuracy was compared in five different numerical experiments covering various applications. These include a standing gravity wave, a rectangular and cylindrical dam break, a rising Taylor bubble, and a droplet impacting a thin pool of liquid. Overall, variant (iii) was substantially more accurate than the other variants in the numerical experiments performed in this study.

show abstract

“…A numerical study on the dynamics of spherical bubble rising in quiescent liquid with finite volume method, was performed by Tripathi et al 2015. Further on, numerous experimental and numerical investigation on rising bubble dynamics was reported by ( Oshagi et al 2019, Liu et al 2015, Xu et al 2017, Cubeddu et al 2017). Due to numerous experimental studies conducted by (Read 1984, Marinak et al 1998 it is understood that RTI is a spatial process.…”

Section: Introductionmentioning

confidence: 99%

Study of Rayleigh Taylor Instability with the Help of CFD Simulation

Saha¹

2020

Preprint

View full text Add to dashboard Cite

The purpose of this paper is to simulate a two-dimensional Rayleigh-Taylor instability problem using the classical method of Finite Element analysis of a multiphase model using ANSYS FLUENT 19.2. The governing equations consist of a system of coupled nonlinear partial differential equations for conservation of mass, momentum and phase transport equations. The study focuses on the transient state simulation of Rayleigh Taylor waves and subsequent turbulent mixing in the two phases incorporated in the model. The Rayleigh Taylor instability is an instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid in a gravitational field. The problem was governed by the Navier-Stokes and Cahn-Hilliard equations in a primitive variable formulation. The Cahn- Hilliard equations were used to capture the interface between two fluids systems. The objective of this article is to perform grid dependency test on Rayleigh Taylor Instability for 2 different mesh size and compare the results for the variation in Atwood Number. The results were validated with the observations from previous published literatures.

show abstract

Simulations of bubble growth and interaction in high viscous fluids using the lattice Boltzmann method

Cited by 8 publications

References 23 publications

Analysis and comparison of boundary condition variants in the free‐surface lattice Boltzmann method

Analysis and comparison of boundary condition variants in the free‐surface lattice Boltzmann method

Analysis and comparison of boundary condition variants in the free-surface lattice Boltzmann method

Study of Rayleigh Taylor Instability with the Help of CFD Simulation

Contact Info

Product

Resources

About