Numerical simulations of incompressible fluid flow in synthetic fractures using lattice Boltzmann method

2020 ◽  
Vol 13 (22) ◽  
Author(s):  
Guan Rong ◽  
Long Cheng ◽  
Junsong Quan ◽  
Yaosheng Tan ◽  
Renhui He ◽  
...  
Author(s):  
Quan Liao ◽  
Tien-Chien Jen

In this paper, a new pressure boundary treatment of lattice Boltzmann method (LBM) for fully developed pressure-driven periodic incompressible fluid flow is proposed. The pressure gradient, instead of equivalent body force, has been applied to determine the particle distribution function on the periodic traverse sections for the fully developed pressure-driven periodic flow. Numerical simulations, including 2D pressure-driven Poiseuille flow and fluid flow passing square obstacles, are carried out using this new boundary treatment. Simulation results show that the proposed approach not only overcomes the nonphysical inlet and outlet flow disturbances (which the LBM simulation always suffers from using the existing pressure boundary methods), but also preserves the system periodicity and generates consistent pressure distribution with macroscopic periodic boundary conditions for the pressure-driven incompressible fluid flow.


1999 ◽  
Vol 10 (06) ◽  
pp. 1003-1016 ◽  
Author(s):  
GONGWEN PENG ◽  
HAOWEN XI ◽  
SO-HSIANG CHOU

Boundary conditions in a recently-proposed finite volume lattice Boltzmann method are discussed. Numerical simulations for simple shear flow indicate that the extrapolation and the half-covolume techniques for the boundary conditions are workable in conjunction with the finite volume lattice Boltzmann method for arbitrary meshes.


2020 ◽  
Vol 32 (11) ◽  
pp. 115122
Author(s):  
Wei-Jie Lin ◽  
Ming-Jiun Li ◽  
Chi-Wei Su ◽  
Xiao-Ying Huang ◽  
Chao-An Lin

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