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Hyperbolicity in temperature and flow fields during the formation of a Loop Current ring

机译:回路电流环形成过程中温度和流场的双曲性

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Loop Current rings (LCRs) are among the largest mesoscale eddies in the world ocean. They arise when bulges formed by the Loop Current in the Gulf of Mexico close off. The LCR formation process may take several weeks, and there may be several separations and reattachments before final separation occurs. It is well established that this period is characterized by a persistent saddle point in the sea surface height field, as seen in both model and satellite data. We present here a detailed study of this saddle region during the formation of Eddy Franklin in 2010, over multiple days and at several depths. Using a data-assimilating Gulf of Mexico implementation of the HYbrid Coordinate Ocean Model (HYCOM), we compare the vertical structure of the currents and temperature fields on 5 and 10 June 2010. Finite-time Lyapunov exponents (FTLE) are computed from the surface down to 200 m to estimate the location of relevant transport barriers. Several new features of the saddle region associated with LCR formation are revealed: the ridges in the FTLE fields are shown to be excellent surrogates for the manifolds delineating the material flow structures with only slight degradation at depth. The intersection of the ridges representing stable and unstable manifolds drops nearly vertically through the water column at both times; remarkably, the material boundary shapes are maintained even as they are advected. Moreover, velocity stagnation points and saddle points in the temperature field are consistently found near the intersections at all depths, and their geographic positions are also nearly constant with depth.
机译:环流环(LCR)是世界海洋中最大的中尺度涡旋之一。当由墨西哥湾的环流形成的凸起关闭时,它们就会出现。 LCR的形成过程可能需要数周的时间,在最终分离发生之前,可能需要进行几次分离和重新连接。众所周知,这一时期的特征是在海面高度场中存在一个持续的鞍点,如模型和卫星数据所示。在此,我们将在2010年埃迪·富兰克林(Eddy Franklin)的形成过程中,历时多天,多次深入地对该鞍状区域进行详细研究。使用墨西哥湾混合坐标海洋模型(HYCOM)的数据实施方案,我们比较了2010年6月5日至10日电流和温度场的垂直结构。低至200 m以估计相关交通障碍物的位置。揭示了与LCR形成有关的鞍形区域的几个新特征:FTLE场中的脊线是歧管的极佳替代品,这些歧管描绘了物质流动结构,但在深度上仅略有退化。代表稳定歧管和不稳定歧管的山脊的相交处两次都几乎垂直地穿过水柱下降。值得注意的是,材料边界形状即使在被平移时也得以保持。此外,温度场中的速度停滞点和鞍点在所有深度的交点附近都可以找到,并且它们的地理位置也随深度几乎恒定。

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