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The mixing layer of fiber suspensions was simulated numerically with the spectral method and the fibers in the flow were traced individually with calculation. The corresponding experiments were made. The results show that the Stokes number of particles is the key parameter to determine the spatial distribution of fibers and the coherent structures control the orientation of fibers. Direct simulations of the motion of cylindrical particles were carried out via lattice Boltzmann method. It is found that the aspect ratio of particles has significant effects on the translation and rotation of the cylindrical particles. A new lattice Boltzmann method which is convenient to deal with the curved boundary is proposed.