Aerodynamic optimization design of rotors requires handling complex geometric deformations, which traditional patched grids struggle to accommodate. In this study, an overlapping grid module is introduced into the existing adjoint optimization framework developed by our research group, enabling multi-grid data transfer through a trilinear interpolation algorithm. Using the symmetric M6 wing model as a benchmark, the steady flow fields computed by patched grids and overlapping grids are compared to validate the accuracy of the overlapping grid module. By comparing the flow field contour plots of the two grid types, the results demonstrate that the overlapping grid module can be successfully integrated into the adjoint optimization program, and the flow field results are consistent with those of the patched grids, confirming the computational accuracy and smoothness of the overlapping grid. Although the computational time required for the overlapping grid is slightly higher than that of the patched grid, its potential in complex geometric optimization and rotor design is significant. The study shows that the overlapping grid can be effectively embedded into the adjoint optimization framework, providing an efficient design tool for highly deformable components such as rotors and blades. This work opens a new path for complex geometric optimization and holds significant engineering value.