Abstract We analyze high-resolution hydrodynamic modeling data using the Massachusetts Institute of Technology general circulation model (MITgcm), which is a numerical model designed for the study of the atmosphere, ocean, and climate. The focus of the research is the Lofoten Vortex of the Norwegian Sea. We study vertical velocities in the Lofoten Vortex using simulations of MITgcm. The zonal and meridional vertical cross sections of the vertical velocities demonstrate the increase in their values. We also study the seasonal and interannual variability of the vertical velocities in the Lofoten Vortex. The spatial distributions of vertical velocities in the upper layers (e.g. 95 m) of the Lofoten Vortex has a random character in winter (December–April). The values of the vertical velocities have opposite signs in adjacent cells, and vectors of the vertical velocities are directed in opposite directions. However, by summer, an ordered structure is formed that is characteristic of the rest of the year. At the lower horizons (e. g. 1000 m), the distribution of vertical velocities in winter and summer differs insignificantly. We establish that the vortex can be divided into four sectors with alternating directions of the vertical velocities at each horizon. The negative velocities are characteristic of the northeastern and southwestern sectors, with maximum values in the northeastern sector, and positive ones are characteristic of the southeastern and northwestern sectors. An analysis of the Lagrangian particles in the Lofoten Vortex shows that the particles in the upper layers (e. g. 200 m), rotate around the axis of the vortex, and have tendency at the same time to move to the surface, while this tendency is different in the lower layers (1000 m), where the particles can move both to the surface and in the opposite direction. Moreover, for all horizons, the particles, which are initially located in the central part of the vortex, move to the periphery of the vortex as the result of the rotation.

中文翻译：

---

罗弗敦涡流中垂直速度的流体动力学建模

摘要 我们使用麻省理工学院环流模型 (MITgcm) 分析高分辨率水动力模型数据，该模型是为研究大气、海洋和气候而设计的数值模型。研究的重点是挪威海的罗弗敦漩涡。我们使用 MITgcm 的模拟来研究 Lofoten Vortex 中的垂直速度。垂直速度的纬向和经向垂直截面表明它们的值增加。我们还研究了罗弗敦涡旋垂直速度的季节性和年际变化。罗弗敦涡旋上层（例如 95 m）的垂直速度空间分布在冬季（12 月至 4 月）具有随机性。垂直速度的值在相邻单元格中具有相反的符号，和垂直速度的矢量指向相反的方向。然而，到了夏天，形成了一个有序的结构，这是一年中其余时间的特征。在较低层（如 1000 m），冬季和夏季的垂直速度分布差异不大。我们确定涡流可以分为四个扇区，每个扇区的垂直速度方向交替。负速度是东北和西南部分的特征，在东北部分最大，正速度是东南和西北部分的特征。对罗弗敦涡旋中拉格朗日粒子的分析表明，上层（例如 200 m）中的粒子围绕涡旋轴旋转，并且有同时向表面移动的趋势，而这种趋势在较低层（1000 m）中有所不同，其中颗粒既可以向表面移动，也可以沿相反方向移动。此外，对于所有层级，最初位于涡旋中心部分的粒子由于旋转而移动到涡旋的外围。