Lattice Boltzmann method on unstructured grids: further developments.

@article{Ubertini2003LatticeBM,
  title={Lattice Boltzmann method on unstructured grids: further developments.},
  author={Stefano Ubertini and Gino Bella and Sauro Succi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={68 1 Pt 2},
  pages={
          016701
        }
}
We discuss further developments of the finite-volume lattice Boltzmann formulation on unstructured grids. It is shown that the method tolerates significant grid distortions without showing any appreciable numerical viscosity effects at second order in the mesh size. A theoretical argument of plausibility for such a property is presented. In addition, a set of boundary conditions which permit to handle flows with open boundaries is also introduced and numerically demonstrated for the case of… CONTINUE READING

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