On the structure of inertial western boundary currents with two moving layers

On the structure of inertial western boundary currents with two moving layers
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两动层西惯性边界流的结构研究

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发表时间:
1990
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通讯作者:
R. Huang
R. Huang
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文献类型:
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作者:
R. Huang

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利用流函数坐标变换研究了具有两个移动层的惯性西边界流的结构。这种变换将物理坐标中的半无限区域上的刚性方程系统转换为流函数坐标中的有限区域上的非刚性系统。为简单起见,假定内部解的界面斜率为常数。在一个由两个沿临界线相连的区域组成的相平面上,解的结构可分为三类。在每个区域内,系统的解以两个不相连的分支的形式出现。当参数接近与临界线上的参数对应的值时,解的两个分支在可移动的临界点连接以形成连续解。尽管来流的涡量分布或其他参数的变化会改变临界线的位置和形状,但系统的一般特征保持不变。因此,要求惯性西部边界流通过临界点的连续性,意味着对大洋中部温跃层结构的某些限制。DOI:10.1034/j.1600-0870.1990.t01-1-00009.x
The structure of inertial western boundary currents with two moving layers is studied using a streamfunction coordinate transformation. This transformation converts the equation system, a stiff system over a semi-infinite domain in physical coordinates, into a non-stiff system over a finite domain in streamfunction coordinates. For simplicity, the interfacial slopes of the interior solution are assumed constant. The structure of the solutions can be classified into three categories in a phase plane which consists of two regions joining along a critical line. Within each region, solutions of the system appear in the form of two unconnected branches. As parameters approach values corresponding to those at the critical line, the two branches of the solutions join at a movable critical point to form a continuous solution. Although changes in the vorticity profile of the incoming flow or other parameters can alter the position and shape of the critical line, the general features of the system remain unchanged. Thus, requiring continuity of an inertial western boundary current through a critical point, implies certain constraints on the structure of the mid-ocean thermocline. DOI: 10.1034/j.1600-0870.1990.t01-1-00009.x