Large-scale flow simulations using lattice Boltzmann method with AMR following free-surface on multiple GPUs

In this paper, the lattice Boltzmann method is employed to simulate buoyancy-driven motion of a single bubble. First, an axisymmetric bubble motion under buoyancy force in an enclosed duct is investigated for some range of Eötvös number and a wide range of Archimedes and Morton numbers. Numerical results are compared with experimental data and theoretical predictions, and satisfactory agreement is shown. It is seen that increase of Eötvös or Archimedes number increases the rate of deformation of the bubble. At a high enough Archimedes value and low Morton numbers breakup of the bubble is observed. Then, a bubble rising and finally bursting at a free surface is simulated. It is seen that at higher Archimedes numbers the rise velocity of the bubble is greater and the center of the free interface rises further. On the other hand, at high Eötvös values the bubble deforms more and becomes more stretched in the radial direction, which in turn results in lower rise velocity and, hence, lower elevations for the center of the free surface.

Download Full-text

Modeling Free-Surface Flow in Rectangular Shallow Basins by Using Lattice Boltzmann Method

Journal of Hydraulic Engineering ◽

10.1061/(asce)hy.1943-7900.0000470 ◽

2011 ◽

Vol 137 (12) ◽

pp. 1680-1685 ◽

Cited By ~ 26

Author(s):

Y. Peng ◽

J. G. Zhou ◽

R. Burrows

Keyword(s):

Free Surface ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Free Surface Flow ◽

Surface Flow ◽

Boltzmann Method

Download Full-text

Eulerian-Lagrangian and Eulerian-Eulerian approaches for the simulation of particle-laden free surface flows using the lattice Boltzmann method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113672 ◽

2021 ◽

pp. 113672

Author(s):

Václav Heidler ◽

Ondřej Bublík ◽

Aleš Pecka ◽

Jan Vimmr

Keyword(s):

Free Surface ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Free Surface Flows ◽

Surface Flows ◽

Boltzmann Method

Download Full-text

A Multiple-Grid Lattice Boltzmann Method for Natural Convection under Low and High Prandtl Numbers

Fluids ◽

10.3390/fluids6040148 ◽

2021 ◽

Vol 6 (4) ◽

pp. 148

Author(s):

Seyed Amin Nabavizadeh ◽

Himel Barua ◽

Mohsen Eshraghi ◽

Sergio D. Felicelli

Keyword(s):

Natural Convection ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Large Scale ◽

Bgk Model ◽

Flow Equations ◽

Wide Range ◽

Prandtl Numbers ◽

Boltzmann Method ◽

Benchmark Solutions

A multi-distribution lattice Boltzmann Bhatnagar–Gross–Krook (BGK) model with a multiple-grid lattice Boltzmann (MGLB) model is proposed to efficiently simulate natural convection over a wide range of Prandtl numbers. In this method, different grid sizes and time steps for heat transfer and fluid flow equations are chosen. The model is validated against natural convection in a square cavity, since extensive benchmark solutions are available for that problem. The proposed method can resolve the computational difficulty in simulating problems with very different time scales, in particular, when using extremely low or high Prandtl numbers. The technique can also enhance computational speed and stability while keeping the simplicity of the BGK method. Compared with the conventional lattice Boltzmann method, the simulation time can be reduced up to one-tenth of the time while maintaining the accuracy in an acceptable range. The proposed model can be extended to other lattice Boltzmann collision models and three-dimensional cases, making it a great candidate for large-scale simulations.

Download Full-text