In this paper a finite-difference lattice Boltzmann method is introduced, discretizing the lattice Boltzmann equation by centered-time and centered-space finite differences. It is well known from numerical analysis that such discretization of the derivatives results in numerical dispersion and dissipation. The numerical dispersion is eliminated perfectly by using a fictitious absorption term in the master equation and the dissipation is compensated by solving a second, reference equation and the method of division. As a test problem, the evolution of a decaying Taylor vortex in a 2pi periodic domain is studied. [References: 12]
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