Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: theory and simulations.

@article{Rohde2003ImprovedBM,
  title={Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: theory and simulations.},
  author={Mathias Rohde and Drona Kandhai and J. J. Derksen and Hanneke van den Akker},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={67 6 Pt 2},
  pages={066703}
}
A detailed analysis is presented for the accuracy of several bounce-back methods for imposing no-slip walls in lattice-Boltzmann schemes. By solving the lattice-BGK (Bhatnagar-Gross-Krook) equations analytically in the case of plane Poiseuille flow, it is found that the volumetric approach by Chen et al. is first-order accurate in space, and the method of Bouzidi et al. second-order accurate in space. The latter method, however, is not mass conservative because of errors associated with… CONTINUE READING