Incompressible lattice Boltzmann model for porous flows with large pressure gradient

Author(s):  
Zhaoli Guo ◽  
C.G. Zheng ◽  
B.C. Shi
2016 ◽  
Vol 27 (11) ◽  
pp. 1650130 ◽  
Author(s):  
Fu-Min Liu ◽  
An-Lin Wang ◽  
Ruo-Fan Qiu ◽  
Tao Jiang

The pseudopotential lattice Boltzmann model has been widely used to solve multi-phase and multi-component flow problems. However, original pseudopotential model cannot be used in simulating diffusion flow with large pressure difference because of its limitation. In this paper, we incorporate pseudopotential model with a new form of effective mass to solve this problem based on the relationship between pressure difference and effective mass. The improved model is verified through Laplace’s law and binary immiscible Poiseuille flow. By simulating pipeline binary diffusion flow and two-inlet binary cavity jet flow, we show that the improved model can achieve larger pressure difference than pseudopotential model with traditional effective mass forms.


2015 ◽  
Vol 26 (04) ◽  
pp. 1550036 ◽  
Author(s):  
Fumei Rong ◽  
Baochang Shi

In this paper, an axisymmetric LBE model for incompressible flows through porous media is proposed. In this model, the influence of density change caused by large pressure difference can be overcome by replacing density distribution function with pressure distribution function. A more simple processing format for external force is introduced so as to make the involved method in this paper more perfect. The coupling between flow velocity and pressure also can be significantly reduced when calculating the macroscopic quantities. Good agreement between the analytical solution and numerical results is also obtained based on this model and it also can provide guidance for other problem with such complicated force forms.


2021 ◽  
Vol 33 (3) ◽  
pp. 036607
Author(s):  
Y. Feng ◽  
J. Miranda-Fuentes ◽  
J. Jacob ◽  
P. Sagaut

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