Lattice Boltzmann method for non-Newtonian (power-law) fluids.

@article{Gabbanelli2005LatticeBM,
  title={Lattice Boltzmann method for non-Newtonian (power-law) fluids.},
  author={Susana Gabbanelli and German Drazer and Joel Koplik},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={72 4 Pt 2},
  pages={046312}
}
We study an ad hoc extension of the lattice Boltzmann method that allows the simulation of non-Newtonian fluids described by generalized Newtonian models. We extensively test the accuracy of the method for the case of shear-thinning and shear-thickening truncated power-law fluids in the parallel plate geometry, and show that the relative error compared to analytical solutions decays approximately linear with the lattice resolution. Finally, we also tested the method in the reentrant-flow… CONTINUE READING

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