Abstract:Interaction between a two-phase fluid and a structure involving contact line dynamics is a common phenomenon. In this paper, we aim to develop a fluid–solid coupling model that can study contact line dynamics in the case of a high density ratio between the two fluids. The fluids are treated using a multiphase lattice Boltzmann flux solver (MLBFS) that uses the cell-centered finite volume method to obtain macroscopic flow variables, and the interface fluxes are reconstructed locally by the standard lattice Bolt… Show more
“…The fluid–solid coupling in their study was implemented with the Grad approximation and a pressure tensor extrapolation scheme. Chen et al 152 investigated the contact line dynamics of a two-phase fluid on cylinders with IBM and the free-energy model (Figure 16). A similar contact line problem was solved by He et al 156 with the bounce-back scheme and phase-field model.Figure 16.Interfaces for two cylinder with (a) ϵ = 1.43, (v) ϵ = 1.77 and (c) ϵ = 2.14.…”
Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning
confidence: 99%
“…The dimensionless distance ϵ=(xc2−xc1)/(R1+R2), where R 1 and R 2 are the radius of cylinders located at ( x c 1 , 100) and ( x c 2 , 100). 152 …”
Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning
confidence: 99%
“…where R 1 and R 2 are the radius of cylinders located at (x c1 , 100) and (x c2 , 100). 152 Figure 17. Snapshots of the free surface given by experiments (left) and lattice Boltzmann method simulations (right).…”
Section: Lattice Boltzmann Methods For Compressible Flowmentioning
confidence: 99%
“…Interfaces for two cylinder with (a) ϵ = 1.43, (v) ϵ = 1.77 and (c) ϵ = 2.14. The dimensionless distance ϵ¼ ðx c2 � x c1 Þ=ðR 1 þ R 2 Þ,where R 1 and R 2 are the radius of cylinders located at (x c1 , 100) and (x c2 , 100) 152.…”
Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. The lattice Boltzmann method (LBM) is an alternative of solving Navier–Stokes equations to obtain complex fluid dynamics. Since the proposal of lattice Bhatnagar–Gross–Krookmodel, the LBM has been improved and applied to various complex flows ranging from laminar flow to turbulent flow and Newtonian flow to non-Newtonian flow. To handle the associated FSI, the bounce-back scheme was proposed and then the immersed boundary method (IBM) was incorporated into the LBM for the simplicity and robustness of IBM in handling complex and moving geometries and the significant efficiency of LBM in solving fluid dynamics. In recent years, the combined frameworks of LBM, that is, bounce-back–lattice Boltzmann method and immersed boundary–lattice Boltzmann method have witnessed a significant development and the successful applications can be found in a range of physical problems such as flow around bluff bodies, flapping wings, wind turbines, aeroacoustics, sea wave modelling and et al. In this paper, the recent progress of LBM and some typical applications involving FSI are reviewed.
“…The fluid–solid coupling in their study was implemented with the Grad approximation and a pressure tensor extrapolation scheme. Chen et al 152 investigated the contact line dynamics of a two-phase fluid on cylinders with IBM and the free-energy model (Figure 16). A similar contact line problem was solved by He et al 156 with the bounce-back scheme and phase-field model.Figure 16.Interfaces for two cylinder with (a) ϵ = 1.43, (v) ϵ = 1.77 and (c) ϵ = 2.14.…”
Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning
confidence: 99%
“…The dimensionless distance ϵ=(xc2−xc1)/(R1+R2), where R 1 and R 2 are the radius of cylinders located at ( x c 1 , 100) and ( x c 2 , 100). 152 …”
Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning
confidence: 99%
“…where R 1 and R 2 are the radius of cylinders located at (x c1 , 100) and (x c2 , 100). 152 Figure 17. Snapshots of the free surface given by experiments (left) and lattice Boltzmann method simulations (right).…”
Section: Lattice Boltzmann Methods For Compressible Flowmentioning
confidence: 99%
“…Interfaces for two cylinder with (a) ϵ = 1.43, (v) ϵ = 1.77 and (c) ϵ = 2.14. The dimensionless distance ϵ¼ ðx c2 � x c1 Þ=ðR 1 þ R 2 Þ,where R 1 and R 2 are the radius of cylinders located at (x c1 , 100) and (x c2 , 100) 152.…”
Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. The lattice Boltzmann method (LBM) is an alternative of solving Navier–Stokes equations to obtain complex fluid dynamics. Since the proposal of lattice Bhatnagar–Gross–Krookmodel, the LBM has been improved and applied to various complex flows ranging from laminar flow to turbulent flow and Newtonian flow to non-Newtonian flow. To handle the associated FSI, the bounce-back scheme was proposed and then the immersed boundary method (IBM) was incorporated into the LBM for the simplicity and robustness of IBM in handling complex and moving geometries and the significant efficiency of LBM in solving fluid dynamics. In recent years, the combined frameworks of LBM, that is, bounce-back–lattice Boltzmann method and immersed boundary–lattice Boltzmann method have witnessed a significant development and the successful applications can be found in a range of physical problems such as flow around bluff bodies, flapping wings, wind turbines, aeroacoustics, sea wave modelling and et al. In this paper, the recent progress of LBM and some typical applications involving FSI are reviewed.
“…Current works on coupling MLBFS with the DI method mostly utilized the Cahn‐Hilliard (CH) model. Algorithmic developments include various scenarios such as binary flows, 22–24 ternary flows, 25 multiphase flow‐structure interactions 26,27 . And applications of these Cahn‐Hilliard‐MLBFS (CH‐MLBFS) methods to the studies of droplet dynamics, 28 bubble dynamics, 29 water entry/exit, 30 and so forth, can be found in the literature.…”
In this paper, the Allen‐Cahn‐Multiphase lattice Boltzmann flux solver (AC‐MLBFS) is proposed as a new and effective numerical simulation method for multiphase flows with high density ratios. The MLBFS resolves the macroscopic governing equations with the finite volume method and reconstructs numerical fluxes on the cell interface from local solutions to the lattice Boltzmann equation, which combines the advantages of conventional Navier–Stokes solvers and lattice Boltzmann methods for simulating incompressible multiphase flows while alleviating their limitations. Previous MLBFS‐based multiphase solvers performed poorly in mass conservation, which might be caused by the excessive numerical diffusion in the Cahn‐Hilliard (CH) model used as the interface tracking algorithm. To resolve this problem, the present method proposes using the conservative Allen‐Cahn (AC) model as the interfacial tracking algorithm, which can ease the numerical implementation by removing high order derivative terms and alleviate mass leakage by enforcing local mass conservation in the physical model. Numerical validations will be carried out through benchmark tests at high density ratios and in extreme conditions with large Reynolds or Weber numbers. Through these examples, the accuracy and robustness as well as the mass conservation characteristics of the proposed method are demonstrated.
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.
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