The data structure, adaptive algorithm and the method of extracting cell information for adaptive Cartesian grid are introduced, which are designed for the CFD solver based on cell-centered scheme. Alternating digital tree （ADT）algorithm is used to delete amounts of repeated points generated in adaptive process. Mark，delete，move （MDM）algorithm is introduced to erase the unused points. For the Caradonna&Tung rotor in different hovering states, calculations are conducted. The distribution of pressure coefficient and the location of vertex are compared well with the experimental data. After that, the simulation for the HELISHAPE 7A rotor in forward state is conducted. It shows that the computation data are compared well with experimental data. It indicates that the algorithms are efficient and robust. The blade tip vortex is compared with the case without utilizing adaptive gird. It manifests that adaptive grid can significantly improve the resolution of capturing the blade tip vortex.