Abstract
In this paper, a lattice Boltzmann model for solving three-dimensional complex Maxwell vorticity equations is presented. Different from the classic lattice Boltzmann models, this lattice Boltzmann model is based on uniformly distributed lattice points in a three-dimensional spatiotemporal space, and we have also given the stability conditions of this complex model and the expression of the equilibrium distribution function. Numerical results reproduce the phenomena of the rectangular wave-guide pattern in complex Maxwell equations, and these numerical results do accord with classical ones.
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