将环形与平面涡旋核重合并共线叠加，在多个直径上得到圆对称分布的复合涡旋，模拟计算结果表明,其强度也呈圆对称分布.对具有任意参量的上述叠加方式得到的复合涡旋，提出了一种求解共线叠加复合涡旋位置的图解方法,利用该方法可以得到准确的涡旋位置分布特性,且确定的涡旋位置与数值模拟结果一致.

Complex vortices distributed axial symmetrically on different radii were achieved theoretically by axially superimposing circular and planar vortices at their cores.The simulation results show that the intensity distributions of these vortices are axial symmetrical.A graphical solution method for determining positions of complex vortices is proposed.The positions of the formed vortices can be obtained exactly by applied the graphical method to the above superposition of vortices with arbitrary parameters.The graphical results are consistent with that of the numerical simulation.