A biconcave particle suspended in a Poiseuille flow is investigated by themultiple-relaxation-time lattice Boltzmann method with the Galilean-invariantmomentum exchange method. The lateral migration and equilibrium of the particleare similar to the Segr\'e-Silberberg effect in our numerical simulations.Surprisingly, two lateral equilibrium positions are observed corresponding tothe releasing positions of the biconcave particle. The upper equilibriumpositions significantly decrease with the growth of the Reynolds number,whereas the lower ones are almost insensitive to the Reynolds number.Interestingly, the regular wave accompanied by nonuniform rotation is exhibitedin the lateral movement of the biconcave particle. It can be attributed to thatthe biconcave shape in various postures interacts with the parabolic velocitydistribution of the Poiseuille flow. A set of contours illustrate the dynamicflow field when the biconcave particle has successive postures in a rotatingperiod.
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