A lattice Boltzmann method for viscous free surface waves in two dimensions

2012 ◽  
Vol 71 (2) ◽  
pp. 223-248 ◽  
Author(s):  
Zhuangming Zhao ◽  
Ping Huang ◽  
Yineng Li ◽  
Junmin Li
Keyword(s):  
Free Surface ◽  
Surface Waves ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Two Dimensions ◽  
Free Surface Waves ◽  
Boltzmann Method

SIMULATION OF AN AXISYMMETRIC RISING BUBBLE BY A MULTIPLE RELAXATION TIME LATTICE BOLTZMANN METHOD

2009 ◽  
Vol 23 (24) ◽  
pp. 4907-4932 ◽  
Author(s):  
ABBAS FAKHARI ◽  
MOHAMMAD HASSAN RAHIMIAN
Keyword(s):  
Free Surface ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Rise Velocity ◽  
Rising Bubble ◽  
Wide Range ◽  
Theoretical Predictions ◽  
Multiple Relaxation Time ◽  
Bubble Rising ◽  
Boltzmann Method

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.

scholarly journals Fully dissipative relativistic lattice Boltzmann method in two dimensions

2018 ◽  
Vol 172 ◽  
pp. 318-331 ◽  
Author(s):  
Rodrigo C.V. Coelho ◽  
Miller Mendoza ◽  
Mauro M. Doria ◽  
Hans J. Herrmann
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Two Dimensions ◽  
Boltzmann Method

A phase-field-based lattice Boltzmann method for moving contact line problems on curved stationary boundaries in two dimensions

2019 ◽  
Vol 30 (06) ◽  
pp. 1950044
Author(s):  
Weifeng Zhao
Keyword(s):  
Boundary Conditions ◽  
Lattice Boltzmann Method ◽  
Contact Line ◽  
Phase Field ◽  
Lattice Boltzmann ◽  
Two Dimensions ◽  
Curved Boundaries ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Boltzmann Method

In this work, we propose a phase-field-based lattice Boltzmann method to simulate moving contact line (MCL) problems on curved boundaries. The key point of this method is to implement the boundary conditions on curved solid boundaries. Specifically, we use our recently proposed single-node scheme for the no-slip boundary condition and a new scheme is constructed to deal with the wetting boundary conditions (WBCs). In particular, three kinds of WBCs are implemented: two wetting conditions derived from the wall free energy and a characteristic MCL model based on geometry considerations. The method is validated with several MCL problems and numerical results show that the proposed method has utility for all the three WBCs on both straight and curved boundaries.

Numerical Simulation of Vortex-Induced Motion With Free Surface by Lattice Boltzmann Method

2014 ◽  
Author(s):  
Akitaka Miyamura ◽  
Shinichiro Hirabayashi ◽  
Hideyuki Suzuki
Keyword(s):  
Numerical Simulation ◽  
Fluid Flow ◽  
Free Surface ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Wave Resistance ◽  
Floating Structure ◽  
Induced Motion ◽  
Height Change ◽  
Boltzmann Method

In this study, numerical simulation of the fluid flow by using lattice Boltzmann method is carried out and the vortex-induced motion (VIM) of a cylindrical floating structure is calculated. The way of calculate the fluid flow, fluid force and floating body’s movement is introduced. The fluid flow with free surface is also calculated. The height change of water surface exerts the effect to the evaluation of hydrostatic pressure and wave resistance. In this study, the method to express the movement of free surface is introduced.

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