Duality in matrix lattice Boltzmann models

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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12 pages, 3 figures

Scientific paper

10.1103/PhysRevE.78.066701

The notion of duality between the hydrodynamic and kinetic (ghost) variables
of lattice kinetic formulations of the Boltzmann equation is introduced. It is
suggested that this notion can serve as a guideline in the design of matrix
versions of the lattice Boltzmann equation in a physically transparent and
computationally efficient way.

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