Estimation of the Relation between the Dispersion Features of Free Internal Waves and the Density Field Vertical Structure in the Barents and Kara Seas

IF 0.7 Q4 OCEANOGRAPHY
А. Bukatov, N. M. Solovei, E. A. Pavlenko
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Abstract

Purpose. The aim of the paper is to investigate spatial-temporal dependences of the dispersion features of short-period free internal waves on the density field vertical structure in the Barents and Kara seas. Methods and Results. Based on the linearized equations of motion of the ideal incompressible and continuously stratified fluid, the dispersion features of free internal waves in the Barents and Kara seas were studied. Solution of the main boundary problem of the Sturm-Liouville type made it possible to obtain the own frequencies of five lowest modes and the own period of the internal waves’ first mode. To calculate the density field, the World Ocean Atlas 2013 reanalysis data on temperature and salinity for 1955–2012 with resolution 0.25° × 0.25° were applied. The relation between the dispersion features of free internal waves and the density field vertical structure was analyzed, and dispersion characteristics of theinternal waves in the Barents and Kara seas were compared. Conclusions. During the months when the density gradients are maximal, the internal waves of the highest frequency and the shortest period are observed. Among the intra-year maximums of the buoyancy depth-averaged frequency, the highest values (≈ 0.02 s) are observed in the Barents Sea in July and August, and those of the Kara Sea – in July–September (≈ 0.055 s) and in November (≈ 0.058 s). In the same months, noted are the maximum values of the averaged natural frequencies and the minimum values of the averaged own period of the internal waves. Thus, for the wavelength 1000 m, the highest averaged own frequency and the smallest averaged own period of the first mode in the Barents Sea constitute 0.0025 s and 45 min., and those in the Kara Sea – 0.0038 s and 30 min, respectively.
巴伦支海和卡拉海自由内波频散特征与密度场垂直结构关系的估计
意图本文的目的是研究巴伦支海和卡拉海短周期自由内波的色散特征对密度场垂直结构的时空依赖性。方法和结果。基于理想不可压缩连续分层流体的线性化运动方程,研究了巴伦支海和卡拉海自由内波的色散特性。Sturm-Liouville型主边界问题的求解使得获得五个最低模的固有频率和内波第一模的固有周期成为可能。为了计算密度场,应用了分辨率为0.25°×0.25°的1955–2012年世界海洋图集2013再分析温度和盐度数据。分析了自由内波的色散特性和密度场垂直结构的关系,并比较了巴伦支海和卡拉海内波的散射特性。结论。在密度梯度最大的月份,观测到频率最高、周期最短的内波。在浮力深度平均频率的年内最大值中,巴伦支海在7月和8月观测到的最高值(≈0.02 s),卡拉海在7-9月(≈0.055 s)和11月(约0.058 s)观测到的最大值。在同一月份,注意内波的平均固有频率的最大值和平均固有周期的最小值。因此,对于1000 m的波长,巴伦支海第一模式的最高平均固有频率和最小平均固有周期分别为0.0025 s和45 min,卡拉海为0.0038 s和30 min。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physical Oceanography
Physical Oceanography OCEANOGRAPHY-
CiteScore
1.80
自引率
25.00%
发文量
8
审稿时长
24 weeks
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