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Mathematical Modeling of Vortex Interaction Using a Three-Layer Quasigeostrophic Model. Part 1: Point-Vortex Approach
Mathematics ( IF 2.4 ) Pub Date : 2020-07-26 , DOI: 10.3390/math8081228
Mikhail A. Sokolovskiy , Xavier J. Carton , Boris N. Filyushkin

The theory of point vortices is used to explain the interaction of a surface vortex with subsurface vortices in the framework of a three-layer quasigeostrophic model. Theory and numerical experiments are used to calculate the interaction between one surface and one subsurface vortex. Then, the configuration with one surface vortex and two subsurface vortices of equal and opposite vorticities (a subsurface vortex dipole) is considered. Numerical experiments show that the self-propelling dipole can either be captured by the surface vortex, move in its vicinity, or finally be completely ejected on an unbounded trajectory. Asymmetric dipoles make loop-like motions and remain in the vicinity of the surface vortex. This model can help interpret the motions of Lagrangian floats at various depths in the ocean.

中文翻译:

使用三层拟地转营养模型的涡旋相互作用数学模型。第1部分:点涡流方法

在三层拟地转模型的框架内,使用点涡理论来解释表面涡与地下涡的相互作用。理论和数值实验用于计算一个表面和一个地下涡旋之间的相互作用。然后,考虑具有一个表面涡旋和两个相等且相反涡度的地下涡旋(地下涡旋偶极子)的构造。数值实验表明,自推进偶极子既可以被表面涡旋捕获,也可以在其附近运动,或者最终完全射出无界轨迹。非对称偶极子产生环状运动,并保持在表面涡旋附近。该模型可以帮助解释拉格朗日漂浮物在海洋不同深度的运动。
更新日期:2020-07-26
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