Over the years, a number of researchers have explored the possibilities of capturing the fantastic Taylor column phenomena numerically. However, comprehensive satisfactory numerical results have not been obtained in spite of the presence of well established experimental and theoretical data. One important blockade in the process is that the existing lower-order schemes cannot capture the phenomena appropriately owing to the complexity of the flow which arises due to the effect of several parameters and nonlinearities. Hence we propose to use the Higher Order Compact Scheme (HOCS) to capture the Taylor column phenomena along with all its essential features. The results obtained using HOCS are found to be in line with available experimental results in the literature. The physical analysis of streamlines, swirl velocity, surface pressure, and pressure gradient show that there arises a reverse flow near the front and a cyclonic vortex near the rear stagnation point along with a geostrophic region under certain conditions depending on the balance between the Coriolis force and the pressure gradient.

多年来，许多研究人员探索了以数值方式捕捉奇妙的泰勒柱现象的可能性。然而，尽管存在完善的实验和理论数据，但尚未获得全面令人满意的数值结果。该过程中的一个重要障碍是，由于几个参数和非线性的影响而产生的流的复杂性，现有的低阶方案无法适当地捕捉现象。因此，我们建议使用高阶紧凑方案 (HOCS) 来捕捉泰勒柱现象及其所有基本特征。发现使用 HOCS 获得的结果与文献中可用的实验结果一致。流线、涡流速度、表面压力的物理分析，