A conservative remapping method is developed to improve the accuracy of data exchange on the patched (mismatched) grid interface. Linear and quadratic polynomials are tested for the reconstruction of the conservative variables on the interface. Remapping methods with different accuracies are compared. Results show that the combination of the linear reconstruction and the weighted essentially nonoscillatory stencil selection has the best balance of accuracy and efficiency. Numerical study of the DLR-F4 wing-body combination with a mending plate patched on the wing upper surface is carried out with the in-house code NSAWET. A sharp pressure jump and an approximate one-count drag increment brought by the plate can be captured.