Simulation of incompressible two-phase flows with large density differences employing lattice Boltzmann and level set methods

Mehravaran, Meisam; Hannani, Siamak Kazemzadeh

doi:10.1016/j.cma.2008.07.015

Cited by 25 publications

(9 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In these methods the LS function is used to distinguish the components and a single LB equation is solved. Mehravaran and Hannani (2008) incorporated the surface tension term in the LB method as source which is localized near the interface and zero elsewhere. A different approach was made by Thömmes et al (2009).…”

Section: Hybrid Methodsmentioning

confidence: 99%

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Wörner

2012

Microfluid Nanofluid

372

197

View full text Add to dashboard Cite

This article presents a comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering. The focus of the paper is on continuum methods where it covers the three common approaches in the sharp interface limit, namely the volumeof-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color-function based methods and the phase-field method. Variants of the mesoscopic lattice Boltzmann method for two-fluid flows are also discussed, as well as various hybrid approaches. The mathematical foundation of each method is given and its specific advantages and limitations are highlighted. For continuum methods, the coupling of the interface evolution equation with the single-field Navier-Stokes equations and related issues are discussed. Methods and models for surface tension forces, contact lines, heat and mass transfer and phase change are presented. In the second part of this article applications of the methods in microfluidics and micro process engineering are reviewed, including flow hydrodynamics (separated and segmented flow, bubble and drop formation, breakup and coalescence), heat and mass transfer (with and without chemical reactions), mixing and dispersion, Marangoni flows and surfactants, and boiling.

show abstract

Section: Hybrid Methodsmentioning

confidence: 99%

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Wörner

2012

Microfluid Nanofluid

372

197

View full text Add to dashboard Cite

show abstract

“…Different from N-S solvers, the LBM is sourced from the kinetic theory and the governing equations can be solved directly in an explicit way. This feature ensures efficiency in computing and simplicity in programming and has led the LBM to be a popular method in recent decades (Guo et al 2002;Mehravaran and Hannani 2008;Huang et al 2009b;Lee and Liu 2010;Zhou et al 2012;Galindo-Torres et al 2013;Lin et al 2013;Galindo-Torres 2013;Galindo-Torres et al 2016;de Rosis 2017;Yang et al 2018Yang et al , 2019Chen et al 2020;Verdier et al 2020;Ru et al 2021;Wang et al 2021;Zhang et al 2021). Chen et al developed an improved version of the simplified LBM (SLBM) (Chen et al 2017(Chen et al , 2018Chen and Shu 2020a, b).…”

Section: Article Highlightsmentioning

confidence: 99%

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Zhang

Yan

Song

et al. 2022

J. Marine. Sci. Appl.

View full text Add to dashboard Cite

In this work, the deformation of free interface during water entry and exit of a circular cylinder is investigated numerically by using the two-dimensional (2D) immersed boundary-multiphase lattice Boltzmann flux solver (IB-MLBFS). The fluid domain is discretized by finite volume discretization, and the flux on the grid interface is evaluated by lattice Boltzmann equations. Both the implicit velocity correction and the surface flux correction are implemented by using the immersed boundary-method to consider the fluid-structure interaction and the contact interface between the multiphase fluids and the structure. First, the water entry of a circular cylinder is simulated and the results are compared with the experiment, which considered the length-diameter ratio of the circular cylinder. The reliability of 2D simulation is verified and the deformation of the free interface is well investigated. Afterward, the water exit of a circular cylinder with constant velocity is simulated, which is less researched. In addition, the results show the advantage of present IB-MLBFS to some extent. Finally, the water exit and re-entry of a circular cylinder are presented, and the results present the complex deformation of the free interface and the dynamic response of the moving structure. Based on the numerical results, the free interface of the multiphase fluids is well captured, and the contact interface on the boundary of the moving structure is accurately presented by the IB-MLBFS.

show abstract

“…As detailed in [3], since the interface moves with the fluid, the level set equation can be represented by the convective one as: As detailed in [3], since the interface moves with the fluid, the level set equation can be represented by the convective one as:…”

Section: Transport Equationmentioning

confidence: 99%

Conservative Level Set Method Without Re-Initialization Process: Application to Multiphase Flows

Boutaous¹,

Otmani²,

Benhadid³

2013

International Journal of Modelling and Simulation

View full text Add to dashboard Cite

To describe the interface evolution in multiphase flows, the numerical simulation requires special approaches. The Lagrangian-based methods (front tracking) are not adequate when the interface curvature is sharp and time dependent. The volume of fluid method is numerically prohibitive. The level set method (LSM) presents many advantages, when a very high accuracy in the interface curvature is needed. In this paper, the LSM is treated in more detail. A finite element (FEM) formulation has been used to model a two-phase flows involving interface propagation. A variational formulation is introduced in order to suppress the costly re-initialization procedure, and a new mass conservation correction method based on penalty factor is proposed.The performance of the method is then presented using several reported cases. The results showed that the accuracy of the proposed approach is drastically improved in comparison with other reported methods. The method is applied to the dam-break and to the rising bubble in water column problems. Good agreements with the reported solutions are presented, which corroborates the accuracy of the method.

show abstract

Simulation of incompressible two-phase flows with large density differences employing lattice Boltzmann and level set methods

Cited by 25 publications

References 39 publications

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Conservative Level Set Method Without Re-Initialization Process: Application to Multiphase Flows

Contact Info

Product

Resources

About