Lattice Boltzmann schemes without coordinates

We discuss recent developments extending the scope of the lattice Boltzmann method to unstructured (coordinateless) grids with arbitrary connectivity. Besides their intrinsic interest as examples of discrete kinetic systems living in irregular phase-space, the above extensions bear a direct relevanc...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2004-08, Vol.362 (1821), p.1763-1771
Main Authors: Ubertini, S., Succi, S., Bella, G.
Format: Article
Language:English
Subjects:
Boundary conditions
Computational Fluid Dynamics
Connectivity
Coordinate systems
Cylinders
Degrees of freedom
Flow velocity
Irregular Grids
Lattice Boltzmann Method
Multi-Scale Models
Quantum statistics
Spherical coordinates
Unstructured grids
Viscosity
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Summary:We discuss recent developments extending the scope of the lattice Boltzmann method to unstructured (coordinateless) grids with arbitrary connectivity. Besides their intrinsic interest as examples of discrete kinetic systems living in irregular phase-space, the above extensions bear a direct relevance as computational tools for multi-scale applications.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2004.1413