Multiple-relaxation-time lattice Boltzmann modeling of incompressible flows in porous media
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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- July 2015
- DOI:
- 10.1016/j.physa.2015.01.067
- arXiv:
- arXiv:1409.5929
- Bibcode:
- 2015PhyA..429..215L
- Keywords:
-
- Lattice Boltzmann model;
- Multiple-relaxation-time;
- Porous media;
- Incompressible flows;
- REV scale;
- Physics - Computational Physics;
- Physics - Fluid Dynamics
- E-Print:
- 34 pages,8 figures