scholarly journals A local lattice Boltzmann method for multiple immiscible fluids and dense suspensions of drops

2011 ◽  
Vol 369 (1944) ◽  
pp. 2255-2263 ◽  
Author(s):  
Timothy J. Spencer ◽  
Ian Halliday ◽  
Chris M. Care
Keyword(s):  
Biological Sciences ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
High Performance ◽  
Fluid Model ◽  
Equations Of Motion ◽  
Simple Algorithm ◽  
Immiscible Fluids ◽  
Local Lattice ◽  
Boltzmann Method

The lattice Boltzmann method (LBM) for computational fluid dynamics benefits from a simple, explicit, completely local computational algorithm making it highly efficient. We extend LBM to recover hydrodynamics of multi-component immiscible fluids, while retaining a completely local, explicit and simple algorithm. Hence, no computationally expensive lattice gradients, interaction potentials or curvatures, that use information from neighbouring lattice sites, need to be calculated, which makes the method highly scalable and suitable for high performance parallel computing. The method is analytical and is shown to recover correct continuum hydrodynamic equations of motion and interfacial boundary conditions. This LBM may be further extended to situations containing a high number (O(100)) of individually immiscible drops. We make comparisons of the emergent non-Newtonian behaviour with a power-law fluid model. We anticipate our method will have a range applications in engineering, industrial and biological sciences.

Parallelization of Lattice Boltzmann method using MPI domain decomposition technology for a drop impact on a wetted solid wall

2014 ◽  
Vol 05 (02) ◽  
pp. 1350024 ◽  
Author(s):  
Zhi Shang ◽  
Ming Cheng ◽  
Jing Lou
Keyword(s):  
Domain Decomposition ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
High Performance ◽  
Message Passing Interface ◽  
Solid Wall ◽  
Data Communication ◽  
Drop Impact ◽  
Two Phase ◽  
Boltzmann Method

Lattice Boltzmann method (LBM) is a new attractive computational approach for simulating isothermal multi-phase flows in computational fluid dynamics (CFD). It is based on the kinetic theory and easy to be parallelized. This study aims to analyze the performance of parallel LBM programming for the incompressible two-phase flows at high density and viscosity ratio. For this purpose, a liquid drop impact on a wetted wall with a pre-existing thin film of the same liquid is simulated by using the parallel LBM code. During the simulations, the domain decomposition, data communication and parallelization of the LBM code using the message passing interface (MPI) library have been investigated. The computational results show that the parallel LBM code exhibits a good high performance computing (HPC) on the parallel speed-up.

Rayleigh-Taylor Instability Studied With Multi-Relaxation Lattice Boltzmann Method

2013 ◽  
Author(s):  
Saeed J. Almalowi ◽  
Dennis E. Oztekin ◽  
Alparslan Oztekin
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Early Stage ◽  
Density Ratio ◽  
Side Wall ◽  
Immiscible Fluids ◽  
Distribution Functions ◽  
Lattice Arrangement ◽  
Boltzmann Method ◽  
Late Stages

Multi relaxation lattice Boltzmann method is implemented to study Rayleigh-Taylor instabilities. Two immiscible fluids (oil and water) are arrayed into three layers. D2Q9 lattice arrangement for two dimensional computational domains is employed. Density distribution functions for each fluid and distribution functions for the coloring step are determined. The evolution of the interface is identified with the coloring step. Buoyancy and other interaction forces, created by buoyancy, between phases are modeled. Two cases are studied one with periodic boundary condition instead of a side wall, and one bounded on all sides. The study is done with an aspect ratio of two and a density ratio of 1.2. The early and late stages of the instability are characterized. The early stage of both cases shows the initial periodic disturbance being amplified rapidly on the lower interface. The late stages show mushroom-like structures, with significant distortions occurring on the bounded case.

Challenges on Porting Lattice Boltzmann Method on Accelerators

2018 ◽  
pp. 30-53 ◽  
Author(s):  
Claudio Schepke ◽  
João V. F. Lima ◽  
Matheus S. Serpa
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
High Performance ◽  
Three Dimensional ◽  
Fluid Flows ◽  
Xeon Phi ◽  
Performance Impact ◽  
Operation Rules ◽  
Dimensional Version ◽  
Boltzmann Method

Currently NVIDIA GPUs and Intel Xeon Phi accelerators are alternatives of computational architectures to provide high performance. This chapter investigates the performance impact of these architectures on the lattice Boltzmann method. This method is an alternative to simulate fluid flows iteratively using discrete representations. It can be adopted for a large number of flows simulations using simple operation rules. In the experiments, it was considered a three-dimensional version of the method, with 19 discrete directions of propagation (D3Q19). Performance evaluation compare three modern GPUs: K20M, K80, and Titan X; and two architectures of Xeon Phi: Knights Corner (KNC) and Knights Landing (KNL). Titan X provides the fastest execution time of all hardware considered. The results show that GPUs offer better processing time for the application. A KNL cache implementation presents the best results for Xeon Phi architectures and the new Xeon Phi (KNL) is two times faster than the previous model (KNC).

3D investigation of natural convection of nanofluids in a curved boundary enclosure applying lattice Boltzmann method

2018 ◽  
Vol 28 (8) ◽  
pp. 1827-1844 ◽  
Author(s):  
Mehdi Hosseini Abadshapoori ◽  
Mohammad Hassan Saidi
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Design Methodology ◽  
Volume Fraction ◽  
Relaxation Times ◽  
Simple Algorithm ◽  
Curved Boundaries ◽  
Content Type ◽  
Boltzmann Method

Purpose The purpose of this paper is to investigate the natural convection behavior of nanofluids in an enclosure. The enclosure is a 3D capsule with curved boundaries filled with TiO2-water nanofluid. Design/methodology/approach In this paper, a multiple relaxation times lattice Boltzmann method (MRT-LBM) has been used. Two-component LBM has been conducted to consider the interaction forces between nanoparticles and the base fluid. Findings Results show that the enhanced Nusselt number (Nu*) increases with the increase in volume fraction of nanoparticles (ϕ) and Ra number and decrease of nanoparticle size (λ). Additionally, the findings indicate that increasing volume fraction beyond a certain value decreases Nu*. Originality/value This paper presents a MRT model of lattice Boltzmann in a 3D curved enclosure. A correlation is also presented based on the current results for Nu* depending on Ra number, volume fraction and size of nanoparticles. Furthermore, a comparison for the convergence rate and accuracy of this model and the SIMPLE algorithm is presented.

LATTICE BOLTZMANN SIMULATIONS OF DROP DEFORMATION AND BREAKUP IN SHEAR FLOWS

2003 ◽  
Vol 17 (01n02) ◽  
pp. 21-26 ◽  
Author(s):  
T. INAMURO ◽  
R. TOMITA ◽  
F. OGINO
Keyword(s):  
Reynolds Number ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Shear Flows ◽  
Immiscible Fluids ◽  
Drop Deformation ◽  
Lattice Boltzmann Simulations ◽  
Boltzmann Method

A lattice Boltzmann method for multicomponent immiscible fluids is applied to simulations of drop deformation and breakup in shear flows for various capillary numbers and viscosity ratios at three different Revnolds numbers, Re = 0.2, 1, 10. The effect of the Reynolds number on drop deformation and breakup in shear flows is investigated. It is found that the drop is easier to deform and to be ruptured as the Reynolds number increases.

The investigation of the viscous fingering phenomenon of immiscible fluids displacement by the Lattice Boltzmann method

2020 ◽  
Vol 98 (7) ◽  
pp. 650-659
Author(s):  
Peisheng Li ◽  
Chengyu Peng ◽  
Peng Du ◽  
Ying Zhang ◽  
Boheng Dong ◽  
...  
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Viscosity Ratio ◽  
Viscous Fingering ◽  
Immiscible Fluids ◽  
Lattice Boltzmann Model ◽  
Fluid Accumulation ◽  
Sweep Efficiency ◽  
Fingering Phenomena ◽  
Boltzmann Method

In this paper, the viscous fingering phenomena of two immiscible fluids with a large viscosity ratio was simulated by the Lattice Boltzmann method. The Rothman–Keller Lattice Boltzmann model was applied to study the viscous fingering phenomena in a microchannel where the high viscosity fluids were displaced by low viscosity fluids. We have investigated the influences of parameters such as viscosity ratio (M), surface wettability, capillary number (Ca), and Reynolds number (Re) on finger structures, breakthrough time (Ts), and areal sweep efficiency (Se). In particular, the effects of surface tension and large viscosity ratio on the phenomenon of fluid accumulation were intensively studied. The simulation results showed that the fluid accumulation became more obvious gradually with the increase of M, which led to more serious displacement effects. Moreover, Se increased as the contact angle increased. Besides, as the viscous fingering phenomenon weakened, the phenomenon of fluid accumulation became more evident. Furthermore, the finger pattern had a tendency to increase as the value of Ca and Re increased, and the phenomenon of fluid accumulation decreased with the decrease of Ts and Se.

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