Transformed Eliassen Balanced Vortex Model
Transformed Eliassen Balanced Vortex Model
复制标题
变换埃利亚森平衡涡模型
DOI：
10.1175/1520-0469(1983)040
复制
发表时间：
1983
影响因子：
3.1
通讯作者：
J. Hack
中科院分区：
文献类型：
--
作者：
W. Schubert;J. Hack
本文研究了热强迫涡中的轴对称平衡流动，其中摩擦入流被限制在薄边界层内。在边界层以上，绝对角动量1/2fR 2 =rv+1/2fr 2是守恒的。我们将R称为势能半径，即，粒子必须移动的半径（保持绝对角动量），以便将其切向分量v变为零。本文以R为因变量，对Eliassen平衡涡模型的方程进行了讨论。接下来，我们将实际半径r和潜在半径R的作用颠倒过来，即，我们把R当作自变量，r当作因变量。引入横向环流的变换分量（u ~*，w ~*），得到了变换后的Eliassen平衡涡方程，它与原方程的区别在于：1）径向坐标为R，导致正相对涡度区的拉伸和负相对涡度区的收缩。
Abstract We consider the axisymmetric balanced flow occurring in a thermally forced vortex in which the frictional inflow is confined to a thin boundary layer. Above the boundary layer the absolute angular momentum ½fR2=rv+½fr2 is conserved. We refer to R as the potential radius, i.e., the radius to which a particle must be moved (conserving absolute angular momentum) in order to change its tangential component v to zero. Using R as one of the dependent variables we review the equations of the Eliassen balanced vortex model. We next reverse the roles of the actual radius r and the potential radius R, i.e., we treat R as an independent variable and r as a dependent variable. Introducing transformed components (u*, w*) of the transverse circulation we obtain the transformed Eliassen balanced vortex equations, which differ from the original equations in the following respects: 1) the radial coordinate is R which results in a stretching of positive relative vorticity regions and a shrinking of negative relati...