An investigation into the sensitivity of idealised vortex interactions to initial conditions and island topography

Luo, Zundu; Liu, Chongjian

doi:10.1029/2005gl024543

Cited by 8 publications

(7 citation statements)

References 19 publications

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“…Besides the jets and eddies, during the evolution of an isolated eddy near a wall, nonlinear Kelvin waves can be excited due to the geostrophic adjustment, which can trap and transform water along the wall (Umatani and Yamagata, 1987;Dorofeyev and Larichev, 1992). In contrast to the case with a continental slope, when eddies encounter an island or seamount, the eddy could split into two eddies because of the erosion by the isolated topography (Herbette et al, 2003(Herbette et al, , 2005Simmons and Nof, 2002;Dewar, 2002;Luo and Liu, 2006;Cenedese, 2002). Simmons and Nof (2000) obtained the essential conditions for a barotropic eddy splitting by using a wall moving into the eddy: even for infinitesimal splitting, which arises from weak collisions, the wall length must be at least a radius of the eddy.…”

Section: Introductionmentioning

confidence: 99%

A modelling study of eddy-splitting by an island/seamount

et al. 2017

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Abstract.A mesoscale eddy's trajectory and its interaction with topography under the planetary β and nonlinear effects in the South China Sea are examined using the MIT General Circulation Model (MITgcm). Warm eddies propagate to the southwest while cold eddies propagate to the northwest. The propagation speed of both warm and cold eddies is about 2.4 km day −1 in the model. The eddy trajectory and its structure are affected by an island or a seamount, in particular, under certain conditions, the eddy may split during the interaction with an island/seamount. We focus this research on two parameters R and S (where R and S are two dimensionless parameters of the island size and submergence depth; R is the ratio of the island radius to the eddy radius, and S is the ratio of the seamount submergence depth to the eddy vertical length). The results of sensitivity experiments with varying island or seamount geometry indicate that the eddy would split in the qualitative range of 1/4 < R < 2 and S < 1/5. The scale of the secondary eddy split-off decreases as the island diameter or the seamount submergence depth increases. In the splitting process, besides the off-spring eddy, there are also some filaments or eddies with opposite vorticity appearing around the eddy. Eddy-splitting, therefore, is an important way to transform energy from the mesoscale to sub-mesoscale in the ocean.

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Section: Introductionmentioning

confidence: 99%

A modelling study of eddy-splitting by an island/seamount

et al. 2017

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“…The time step is set to Δ t = 30 s . A detailed description of the model can be found in work by Luo and Liu [2006].…”

Section: The Model and Analytical Proceduresmentioning

confidence: 99%

“…The computational domain used here is a rectangle 2000 km Â 1000 km with Dx = Dy = 5 km and (x, y) = (0, 0) at the left-lower corner of the domain. The time step is set to Dt = 30 s. A detailed description of the model can be found in work by Luo and Liu [2006].…”

Section: The Modelmentioning

confidence: 99%

A validation of the fractal dimension of cloud boundaries

Luo

Liu

2007

Geophysical Research Letters

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[1] In this paper the problem of the fractal dimension of the perimeter of self-organized vortices is investigated. Results from two numerical models (using the quasi geostrophic vorticity equation and the system of barotropic primitive equations, respectively) with initial fields where the total number of initial small-scale vortices is 72, and their intensities and locations are determined stochastically, indicate that the quasi-final kinetic energy fields have a power spectrum of the form E (k) $ k Àb , b % 1.0, and the fractal dimension of the perimeter of selforganized vortices falls near 4/3. An estimation of the fractal dimension using 77 cloud samples from cloud picture data is shown to be 1.30. The simulated fractal dimension here validates results previously computed based on satellite images (1.35), and is similar to results previously modeled by Large-Eddy-Simulation and indicated by the theory of relative turbulent diffusion. Citation: Luo, Z., and C. Liu

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“…Although isolated eddies in open oceans are affected by different factors, many of them have similar kinematic characteristics in general. As many researchers have pointed out, an isolated warm eddy in open oceans moves southwestwards or moves northwards along the western boundary in the northern hemisphere under the planetary β and nonlinear effects (Chang et al, 2012;Wei and Wang, 2009;Nof, 1981;Itoh et al, 2011;Itoh and Sugimoto, 2001;Nan et al, 2011;Cushman-Roisin et al, 1990;Korotaev and Fedotov, 1994). Sutyrin (2003) came to conclusions that βinduced propagation of surface anticyclone drives lower-layer eddies which add a significant southerly component to surface eddy propagation.…”

Section: Introductionmentioning

confidence: 99%

A modelling study of eddy-splitting by an Island/Seamount

Yang¹,

Xing²,

Chen³

et al. 2016

Preprint

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Abstract. A mesoscale eddy's trajectory and its interaction with topography under the planetary β and nonlinear effects in the South China Sea are examined using the MITgcm. Warm eddies propagate to the southwest while cold eddies propagate to the northwest. The speed of both warm and cold eddies is about 2.4 km/day in the model. The eddy trajectory and its structure are affected by an island or a seamount, in particular, some eddies may split during the interaction with an island/seamount. Eddy-splitting is related to the size of the island and the submergence depth of the seamount. The results of sensitivity experiments of the interaction between an idealized eddy and an island/seamount indicate that the eddy would split in the qualitative range of 1/4

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An investigation into the sensitivity of idealised vortex interactions to initial conditions and island topography

Cited by 8 publications

References 19 publications

A modelling study of eddy-splitting by an island/seamount

A modelling study of eddy-splitting by an island/seamount

A validation of the fractal dimension of cloud boundaries

A modelling study of eddy-splitting by an Island/Seamount

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