Abstract
In this paper, a two-dimensional eight-velocity multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for incompressible porous flows at the representative elementary volume scale based on the Brinkman-Forchheimer-extended Darcy model. In the model, the porosity is included into the pressure-based equilibrium moments, and the linear and nonlinear drag forces of the porous matrix are incorporated into the model by adding a forcing term to the MRT-LB equation in the moment space. Through the Chapman-Enskog analysis, the incompressible generalized Navier-Stokes equations can be recovered. Numerical simulations of several typical porous flows are carried out to validate the present MRT-LB model. It is found that the present numerical results agree well with the analytical solutions and/or other numerical results reported in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 215-230 |
| Number of pages | 16 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 429 |
| DOIs | |
| State | Published - 1 Jul 2015 |
Keywords
- Incompressible flows
- Lattice Boltzmann model
- Multiple-relaxation-time
- Porous media
- REV scale
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