Lattice Boltzmann Method and its Applications to Fluid Flow Problems (original) (raw)
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Validation of an improved lattice Boltzmann method for incompressible two-phase flows
Computers & Fluids, 2018
This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • The validation of an improved LBM for two-phase flows with large density ratio is presented. • A layered Poiseuille flow with a pressure difference between the inlet and the outlet is simulated for density ratio of 1000. • A milk crown with density ratio of 800 for various Weber numbers are simulated, and the droplet splashing from a crown sheet is clearly computed.
Concurrent numerical simulation of flow and blood clotting using the lattice Boltzmann technique
International Journal of Bioinformatics Research and Applications, 2006
In this paper, we describe a novel approach for a concurrent numerical simulation of the unsteady flow within an idealised stenosed artery and a simplified blood clotting process based on a residence time model. The applied numerical scheme is the lattice Boltzmann technique, which proved to be highly efficient particularly for transient flows and complex or varying geometries.
Multi-Relaxation Time Lattice Boltzmann Simulation for Incompressible Fluid Flow
In this paper, multi-relaxation time of lattice Boltzmann method is used to compute the flow characteristics in the cavity located on a floor of horizontal channel. The results are compared with the conventional single-relaxation time lattice Boltzmann scheme and benchmark solution for such flow configuration. The multi-relaxation time lattice Boltzmann scheme demonstrated good agreement, which supports its validity in computing fluid flow problem.
Cascaded Lattice Boltzmann Method application in forced and natural convection
Journal of Physics: Conference Series, 2018
View the article online for updates and enhancements. You may also like Application of the lattice Boltzmann model to simulated stenosis growth in a twodimensional carotid artery J Boyd, J Buick, J A Cosgrove et al.-Three-dimensional modelling of the human carotid artery using the lattice Boltzmann method: I. Model and velocity analysis J Boyd and J M Buick-Comparison of Newtonian and non-Newtonian flows in a two-dimensional carotid artery model using the lattice Boltzmann method
Application of lattice Boltzmann method for incompressible viscous flows
Applied Mathematical Modelling, 2013
Because of the presence of corner eddies that change in number and pattern the lid-driven cavity problem has been found suitable to study various aspects of the performance of solution algorithms for incompressible viscous flows. It retains all the difficult flow physics and is characterized by a large primary eddy at the centre and secondary eddies located near the cavity corners. In this work, lid-driven cavity flow is simulated by lattice Boltzmann method with single-relaxation-time and it is compared with those by lattice Boltzmann method with multi-relaxation-time and finite difference method. The effects of the Reynolds number on the size, centre position and number of vortices are studied in detail together with the flow pattern in the cavity. The close agreement of the results bears testimony to the validity of this relatively new approach. However lattice Boltzmann method with multi-relaxation-time model is seen to remove the difficulties faces by the lattice Boltzmann method with single-relaxation-time at higher Reynolds numbers.
The Lattice Boltzmann Method used for fluid flow modeling in hydraulic components
Linköping electronic conference proceedings, 2017
The Lattice-Boltzmann Method for the approximate solution of the Navier-Stokes equations has become an interesting alternative to classical finite volume based discretization methods. Because the flow domain is not meshed in the classical sense but only voxelized and geometrically complex boundaries can be introduced in an easy form by bounce-back or off-Lattice boundary conditions, the method lends itself very well to simulations of channel flows inside hydraulic components. In this paper, a flow problem in a single acting cylinder attached to a 3/2 directional spool valve is used as a benchmark problem. The Lattice-Boltzmann simulation is used to generate a reference solution for the pressure step response of the blocked cylinder with superimposed wave propagation. From this reference data set, a non-parametric frequency domain input-output model is extracted and compared with results from classical lumped parameter modeling.
Applied and Computational Mechanics, 2018
The aim of this study is to investigate the effect of boundary conditions on the accuracy and stability of the numerical solution of fluid flows in the context of single relaxation time Lattice Boltzmann method (SRT-LBM). The fluid flows are simulated using regularized, no-slip, Zou-He and bounce back boundary conditions for straight surfaces in a lid driven cavity and the two-dimensional flow in a channel. The solutions for all types of the boundary conditions show good agreement with numerical references and exact solutions. The cavity pressure contours at low relaxation time show drastic perturbations for Zou-He boundary condition, whereas, the perturbation is ignorable for regularized boundary condition. At High Reynolds number, severe velocity gradients are major reason for numerical instabilities. Therefore, regularized boundary condition, which considers the velocity gradient in its calculation, has better numerical stability comparing the Zou-He boundary condition. Overall, ...
Journal of Physics: Conference Series
Lattice Boltzmann Method (LBM) is the novel method for simulating fluid dynamics. Nowadays, the application of LBM ranges from the incompressible flow, flow in the porous medium, until microflows. The common collision model of LBM is the BGK with a constant single relaxation time τ . However, BGK suffers from numerical instabilities. These instabilities could be eliminated by implementing LBM with multiple relaxation time. Both of those scheme have implemented for incompressible 2 dimensions lid-driven cavity. The stability analysis has done by finding the maximum Reynolds number and velocity for converged simulations. The accuracy analysis is done by comparing the velocity profile with the benchmark results from Ghia, et al and calculating the net velocity flux. The tests concluded that LBM with MRT are more stable than BGK, and have a similar accuracy. The maximum Reynolds number that converges for BGK is 3200 and 7500 for MRT respectively.
Application of the Lattice Boltzmann method to open channel flow with liquid-solid phase changes
In this paper, we present numerical procedure for liquid-solid phase change of water with Lattice Boltzmann method (LBM). The numerical procedure is composed as follows. Two distribution functions approach will be used to account flow field and temperature field on fixed grids with 9 directional lattices. The enthalpy-based non iterative method is used for phase change of fluid depending on local enthalpy updates. For open channel fluid flow, free surface formulation of single phase LBM is employed.
A comparison of non-Newtonian models for lattice Boltzmann blood flow simulations
Computers & Mathematics with Applications, 2009
In the present paper, three non-Newtonian models for blood are used in a lattice Boltzmann flow solver to simulate non-Newtonian blood flows. Exact analytical solutions for two of these models have been derived and presented for a fully developed 2D channel flow. Original results for the use of the K-L model in addition to the Casson and Carreau-Yasuda models are reported for non-Newtonian flow simulations using a lattice Boltzmann (LB) flow solver. Numerical simulations of non-Newtonian flow in a 2D channel show that these models predict different mass flux and velocity profiles even for the same channel geometry and flow boundary conditions. Which in turn, suggests a more careful model selection for more realistic blood flow simulations. The agreement between predicted velocity profiles and those of exact solutions is excellent, indicating the capability of the LB flow solver for such complex fluid flows.