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At present, coupled method is time-consuming because of its large calculated amount for sound field computation problems with rapidly changing topography, which limits its application of the method in practice. In the paper, taking a seamount problem with a line source for example, we proposed a new and fast coupled method in hybrid orthogonal curvilinear coordinates. We give theoretical analysis and compare our method to other coupled methods in some concrete examples. The results show that our method has higher efficiency and wider application range for such problems。