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

@article{Li2013UpscaledLB,
  title={Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media},
  author={Jun Li and Donald L. Brown},
  journal={arXiv: Computational Physics},
  year={2013}
}
A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al. algorithm where we replace the force model with a simple Shan-Chen force model. The proposed upscaled LBM uses coarser grids to represent the effects of the fine-grid (pore-scale) simulations. For the upscaled LBM, effective properties and reduced-order models… 

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