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paper

Duality in matrix lattice Boltzmann models

arXiv:0711.4891 · doi:10.1103/PhysRevE.78.066701

Abstract

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.

12 pages, 3 figures