Linear Theory of Stratified Flow past an Isolated Mountain in Isosteric Coordinates
Linear Theory of Stratified Flow past an Isolated Mountain in Isosteric Coordinates
复制标题
等量坐标下流经孤山的层流线性理论
DOI：
--
复制
发表时间：
1988
期刊：
影响因子：
--
通讯作者：
Ronald B. Smith
中科院分区：
文献类型：
--
作者：
Ronald B. Smith
本文对轴对称山丘上流体静力无旋流动的线性理论作了等排（即，常数比容）坐标，从而允许精确地满足下边界条件（LBC）。这导致在一个更一致的流场附近的山和最近的数值计算的良好协议。预测了背风坡上密度面塌陷区域的形成和扩展。预测了两个初始驻点，一个在迎风坡上，一个在山顶上方一定距离处。在满足LBC的精确，修正的压力出现，取消伯努利“高度项”在谢泼德的阻塞分析。这使得谢泼德的动能论点似乎不太可能在气流阻塞和分裂中起任何作用。
Abstract The linear theory for hydrostatic nonrotating flow over an axisymmetric hill is redone in isosteric (i.e., constant specific volume) coordinates, thus allowing the lower boundary condition(LBC) to be exactly satisfied. This results in a more consistent flow field near the mountain and good agreement with recent numerical calculations. The formation and spread of a region of collapsed density surfaces is predicted on the leeward slope. Two incipient stagnation points are predicted, one on the windward slope and one some distance aloft, above the mountaintop. In satisfying the LBC exactly, a correction to the pressure arises which cancels the Bernoulli “height term” in Sheppard's blocking analysis. This makes it seem unlikely that Sheppard's kinetic energy argument plays any role in airflow blocking and splitting.