The absolute velocity as a function of conserved measurable quantities
The absolute velocity as a function of conserved measurable quantities
复制标题
绝对速度作为守恒可测量量的函数
DOI：
10.1016/0079-6611(85)90020-5
复制
发表时间：
1985
影响因子：
4.1
通讯作者：
G. Needler
中科院分区：
文献类型：
--
作者：
G. Needler
根据密度场及其导数，给出了理想流体速度的封闭形式表达式。该表达式是由β螺旋线方程和热成风方程简单导出的，它可以看作是利用两个分离密度面上的常位涡和伯努利函数的连续性及其相互之间的变化来确定两个分离密度面上速度的方法的微分形式。这些结果也可能与温跃层理论的某些一般结果有关。该表达式也推广到一个非理想流体的情况下，在这种情况下，保守示踪剂的领域的知识是必需的。讨论了将这些表达式应用于实际噪声海洋数据集的有用性，并与β螺旋等其他技术相关。
A closed form expression is presented for the velocity of an ideal fluid in terms of the density field and its derivatives. The expression, which is simply derived from the β-spiral and thermal wind equations, can be seen to be a differential form of a method for determining the velocity on two separated density surfaces using the properties of constant potential vorticity and Bernoulli function contous on them and of their changes between them. The results may also be related to some general results of thermocline theory. The expression is also generalized to the case of a non-ideal fluid, in which case knowledge of the field of a conservative tracer is required. The usefulness of applying these expressions to realistic noisy oceanic data sets discussed and related to other techniques such as the β-spiral.