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Phys. Rev. E 68, 016701 (2003) [10 pages]

Lattice Boltzmann method on unstructured grids: Further developments

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S. Ubertini1, G. Bella1, and S. Succi2
1Dipartimento di Ingegneria Meccanica, Universita’ di Roma, Tor Vergata, Viale del Politecnico, 1, 00133, Roma, Italy
2Istituto Applicazioni Calcolo, CNR, Viale del Policlinico 137, 00161, Roma, Italy

Received 3 December 2002; published 11 July 2003

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 channel flows and driven cavity flows.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.68.016701
DOI: 10.1103/PhysRevE.68.016701
PACS: 47.11.+j, 05.20.Dd, 47.10.+g

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