Finite difference WENO scheme of high order accuracy scheme has difficulty in dealing with the problem which has the flow over a complex geometry on structured mesh.While the ghost cell immersed boundary method is a novel and general technique for handling a flow with complex geometry without any special needs of computing mesh.We use the WENO scheme in conjunction with the ghost cell immersed boundary method to solve the above-mentioned problem on Cartesian mesh.Finally,the results of some classic numerical tests are given to verify the effectiveness of this proposed method.