Length scale of the finite-amplitude meanders of shelfbreak fronts
Length scale of the finite-amplitude meanders of shelfbreak fronts
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DOI:
10.1175/jpo-d-14-0249.1
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发表时间:
2015-10
影响因子:
3.5
通讯作者:
W. Zhang;G. Gawarkiewicz
中科院分区:
文献类型:
--
作者:
W. Zhang;G. Gawarkiewicz
AbstractThrough combining analytical arguments and numerical models, this study investigates the finite-amplitude meanders of shelfbreak fronts characterized by sloping isopycnals outcropping at both the surface and the shelfbreak bottom. The objective is to provide a formula for the meander length scale that can explain observed frontal length scale variability and also be verified with observations. Considering the frontal instability to be a mixture of barotropic and baroclinic instability, the derived along-shelf meander length scale formula is [b1/(1 + a1S1/2)]NH/f, where N is the buoyancy frequency; H is the depth of the front; f is the Coriolis parameter; S is the Burger number measuring the ratio of energy conversion associated with barotropic and baroclinic instability; and a1 and b1 are empirical constants. Initial growth rate of the frontal instability is formulated as [b2(1 + a1S1/2)/(1 + a2αS1/2)]NH/L, where α is the bottom slope at the foot of the front, and a2 and b2 are empirical constants...