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The numerical calculation method is based on unstructured mesh well adaptability to the complex boundary, and the FVM (Finite Volume Method) form good conservation to the convective term flux. This coupled model adopting Roe second-order upwind scheme of FVM numerical analyzed to shallow water equation, and successfully introduced mild slope equation with weakly nonlinear amplitude dispersion, using the improved interpolating technology of rectangular grid to the triangular grid that cooperates with the FVM format on triangle mesh to calculate the complex flow field model. In order to avoid immobile water fictitious flowing in the complex terrain, this model uses the Rogers method to balance process for flux gradient terms and source terms. At measuring point in the radial sand ridge field, the model with wave-current interactions led velocity variation. [ABSTRACT FROM PUBLISHER]