A two-dimensional two-layer barotropic quasi-equilibrium ocean model under the wind forcing considering Rayleigh dissipation is built, and the analytic solution is given under the situation of mid-latitude large-scale wind field forcing. The results show that, under the forcing of the westerly jet stream, in the upper flow field of the east to west coast of the ideal ocean, there is a stronger east flow in the westerly forcing, and there is a west branch near theβ-channel wall; while near the west coast, there are streams with cyclonic curvature and anti-cyclonic curvature on both sides of eastward flow. The lower flow field, whose strength is approximately the same with the upper flow field, but the direction of the flow is generally opposite. The distribution form of flow anomalies forced by the ideal westerly jet anomalies is similar to the results above. Compared to the upper flow field anomalies in the North Pacific forced by the actual wind anomalies, there are similarities between the actual situation and the results of the upper ocean in the article. Finally, the solution of the ocean model runs to the forcing particular solution of wind fieldrnhere.%建立了风场强迫下考虑瑞利摩擦的水平二维两层正压准平衡海洋模型,并在中纬度大尺度理想风场强迫的情况下,进行了解析求解.结果表明,在西风急流强迫下,在理想海洋的西海岸以东的上层流场上,在西风急流处会出现较强的东向流；在接近β通道侧壁处则有西向逆流出现；在近西海岸处,在上述东向流的两侧有气旋性曲率与反气旋性曲率的流动；而下层流场的强度与上层流场大致相同,但流向大体相反.由理想西风急流异常强迫出的流场异常的分布形式与以上结果类似.与实际风场异常强迫下的北太平洋上层流场异常进行比较后可知,模型得到上层海洋的结果与实际情况有相像之处.最终,该海洋模型的解趋于风场强迫特解.
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