AbstractA simple model of fluid particle advection induced by the interaction of a point vortex and incident pl'/> Advection of passive scalars induced by a bay-trapped nonstationary vortex
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Advection of passive scalars induced by a bay-trapped nonstationary vortex

机译：湾陷非平稳涡旋诱发被动标量的对流

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AbstractA simple model of fluid particle advection induced by the interaction of a point vortex and incident plane flow occurring near a curved boundary is analyzed. The use of the curved boundary in this case is aimed at mimicking the geometry of an isolated bay of a circular shape. An introduction of such a boundary to the model results in the appearance of retention zones, where the vortex can be permanently trapped being either stationary or periodically oscillating. When stationary, it induces a steady velocity field that in turn ensures regular advection of nearby fluid particles. When the vortex oscillates periodically, the induced velocity field turns unsteady leading to the manifestation of chaotic advection of fluid particles. We show that the size of the fluid region engaged into chaotic advection increases almost monotonically with the increased magnitude of the vortex oscillations provided the magnitude remains relatively small. The monotonicity is accounted for the fact that the frequency of the vortex oscillations incommensurable with the proper frequency of fluid particle rotations in the steady state. Another point of interest is that it is demonstrated that bounded regions, in which the vortex may be trapped, can appear even at a significant distance from the bay. Making use of a Lagrangian indicator, examples of fluid particle advection induced by the periodic motion of the vortex inside the bay are adduced.
机译： Abstract 由点涡旋和分析在弯曲边界附近发生的入射平面流。在这种情况下，弯曲边界的使用旨在模仿圆形孤立隔间的几何形状。在模型中引入这样的边界会导致出现保留区域，在该区域中，涡流可以永久性地陷于静止状态，也可以周期性地振荡。静止时，它会产生一个稳定的速度场，进而确保附近流体粒子的规则对流。当涡旋周期性地振荡时，感应的速度场变得不稳定，从而导致流体粒子的混沌对流的表现。我们表明，参与涡旋平流的流体区域的大小几乎随涡旋振荡幅度的增加而单调增加，前提是该幅度保持相对较小。单调性是由于以下事实：在稳态下，涡旋振荡的频率与流体粒子旋转的适当频率不相称。另一个有趣的点是，事实证明，即使在距海湾很远的距离处，也可能会出现涡流的边界区域可能会出现。借助拉格朗日指示器，列举了由海湾内部涡流的周期性运动引起的流体粒子对流的例子。

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