The complex lattice Boltzmann model is proposed to simulate the scroll wave in three-dimensional Ginzburg-Landau equation. The method maintains the algorithmic simplicity of the original lattice Boltzmann scheme, and does not require an interpolation or coarse-graining procedure. We can see the details of the process of the scroll waves formed in three-dimensional space; we can see that the quantum vortex in three-dimension is still linear; we can see a variety of graceful movement patterns of the vortex filaments and their future destiny, which imply the results of the existing law on the...