scholarly journals Analysis and improvement of Brinkman lattice Boltzmann schemes: Bulk, boundary, interface. Similarity and distinctness with finite elements in heterogeneous porous media

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Irina Ginzburg ◽  
Goncalo Silva ◽  
Laurent Talon
Keyword(s):  
Porous Media ◽  
Finite Elements ◽  
Lattice Boltzmann ◽  
Heterogeneous Porous Media

scholarly journals Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media

Geofluids ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Jun Li ◽  
Donald Brown
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Effective Permeability ◽  
Heterogeneous Porous Media ◽  
Coarse Grid ◽  
Force Model ◽  
Fine Grid ◽  
Reduced Order ◽  
Boltzmann Method

An upscaled Lattice Boltzmann Method (LBM) for flow simulations in heterogeneous porous media at the Darcy scale is proposed in this paper. In the Darcy-scale simulations, the Shan-Chen force model is used to simplify the algorithm. The proposed upscaled LBM uses coarser grids to represent the average effects of the fine-grid simulations. In the upscaled LBM, each coarse grid represents a subdomain of the fine-grid discretization and the effective permeability with the reduced-order models is proposed as we coarsen the grid. The effective permeability is computed using solutions of local problems (e.g., by performing local LBM simulations on the fine grids using the original permeability distribution) and used on the coarse grids in the upscaled simulations. The upscaled LBM that can reduce the computational cost of existing LBM and transfer the information between different scales is implemented. The results of coarse-grid, reduced-order, simulations agree very well with averaged results obtained using a fine grid.

LATTICE BOLTZMANN MODEL FOR UPSCALING OF FLOW IN HETEROGENEOUS POROUS MEDIA BASED ON DARCY'S LAW

2019 ◽  
Vol 22 (9) ◽  
pp. 1131-1139
Author(s):  
G. Z. Liu ◽  
F. L. Liu ◽  
M. Li ◽  
X. Jin ◽  
W. F. Lv ◽  
...  
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann ◽  
Darcy’S Law ◽  
Heterogeneous Porous Media ◽  
Darcy's Law ◽  
Lattice Boltzmann Model ◽  
Boltzmann Model
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