Taylor dispersion in heterogeneous porous media: Extended method of moments, theory, and modelling with two-relaxation-times lattice Boltzmann scheme

2014 ◽  
Vol 26 (2) ◽  
pp. 022104 ◽  
Author(s):  
Alexander Vikhansky ◽  
Irina Ginzburg
Keyword(s):  
Porous Media ◽  
Method Of Moments ◽  
Lattice Boltzmann ◽  
Relaxation Times ◽  
Taylor Dispersion ◽  
Heterogeneous Porous Media ◽  
Lattice Boltzmann Scheme

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 Scheme for Natural Convection in Porous Media

1997 ◽  
Vol 08 (04) ◽  
pp. 879-888 ◽  
Author(s):  
R. G. M. Van Der Sman
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Simple Model ◽  
Analytical Solutions ◽  
Lattice Boltzmann ◽  
Transfer Problem ◽  
Cubic Lattice ◽  
Convection In Porous Media ◽  
Lattice Boltzmann Scheme

A lattice-Boltzmann scheme for natural convection in porous media is developed and applied to the heat transfer problem of a 1000 kg potato packaging. The scheme has features new to the field of LB schemes. It is mapped on a orthorhombic lattice instead of the traditional cubic lattice. Furthermore the boundary conditions are formulated with a single paradigm based upon the particle fluxes. Our scheme is well able to reproduce (1) the analytical solutions of simple model problems and (2) the results from cooling down experiments with potato packagings.

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