涡旋涉及的研究领域十分广泛，涡旋开尔文波是目前研究湍流的重要模型。本文在表征双涡旋动力学演化规律的Biot-Savart公式基础上，考虑超流体He"Ⅱ" 中超流流动与正常流动之间的“相互摩擦”产生的耗散，通过MATLAB数值模拟来研究双涡丝的蛙跳运动。 在小振幅开尔文波的情况下，非局域部分对双涡丝蛙跳运动的贡献是主要的。正常流动部分的速率v_n与不存在耗散时涡丝的速率(s_0 ) ?之间的关系会影响蛙跳运动的形式和双涡丝最终的“稳定”形态。蛙跳运动可能会在有限次后停止，或者不会出现。双涡丝最终可能会达到半径相同的状态，或者半径之差逐渐增大。

Vortex involves a wide range of research fields, and the vortex Kelvin wave is a significant model for studying turbulence. In this paper, based on the Biot-Savart integrals to characterize the dynamic evolution of double helix vortex, the dissipation from the “mutual friction” between superfluid and normal fluid in the superfluid He II is considered. The leapfrogging motion of double helix vortex lines is studied by MATLAB numerical simulation. In the case of small-amplitude Kelvin waves, the contribution of the non-local part to the leapfrogging of double helix vortex is dominant. The relationship between the velocity v_n of the normal fluid and the velocity (s_0 ) ? of the vortex filament without dissipation will influence the form of the leapfrogging motion and the final "stable" form of the double helix vortex lines. leapfrogging may stop after a limited number of recurrences, or it may not appear. The double helix vortex lines may eventually reach the same radius, or the difference in radius may gradually increase.