二维涡斑的运动发声

Sound generation from the motion of two-dimensional vortex patches

本文通过对Navier Stokes方程的直接数值模拟 ,并应用涡斑模型 ,研究了方腔内二维涡斑运动发声问题 ,结果表明旋转方向相同的涡斑 ,不管初始涡斑的涡量分布如何 ,最后的涡量分布为Burgers型涡斑 ,呈现“单胞”的稳定结构 ;旋转方向相反的涡斑 ,其运动演化轨迹与初始条件有关 ,最终呈“双胞”的稳定结构。

Using the model of vortex patch,sound generation from the motion of two dimensional vortex patches in square is studied through Navier Stokes equations.The results show that no matter how the initial distribution of vorticity with same revolving direction is,the final vorticity distribution is that of Burgers vortex with single cell,having stable structure.However,the vortex patches with opposite revolving direction have the stable structure with two cells amd their evolution is dependent on the initial condition.