A study of stability of two-gyre flow pattern on a rotating sphere

本文研究了均匀东风作用下旋转球上刚性边界区域内的正压流动，观察到了双涡旋流型。当风强迫增加时，由定常向西加强流通过霍普夫分岔产生振荡不稳定。由于风力很强，每个环流都会产生一个涡旋街。随着流场尺度的增大，北、南涡街的数目增多。在有入流和出流的定常气流中，观察到向西加强。

We study the barotropic flows in a domain on a rotating sphere with the rigid boundary under a uniform easterly wind, and observe two-gyre flow patterns. As wind-forcing increases, an oscillating instability arises from the steady flow of westward intensification by Hopf bifurcation. As wind-forcing is strong, a vortex street occurs from each gyre. As the size of the fluid field is larger, the number of the north and the south vortex streets increases. The westward intensification is observed for steady flow with inflow and outflow.