Abstract: In this paper, a framework for numerical modeling of fluid and structure interaction (FSI) under blast shock wave has been developed and implement by loose coupling method on the basis of the equivalence of displacement condition. The nonlinear displacement of solid field is simulated by Discontinuous Galerkin Finite Element Method (DGFEM) which is based on the Lagrange method. The flow field is computed by using the cell-centered finite-volume scheme on the assumption of the improved spring analogy. Compared to the analytical results of one-dimensional spring piston problem, the present loose coupling method shows the good performance in computational accuracy in simulating fluid-structure interaction problem. Furthermore, the program framework exhibits the good abilities in simulating the coupling interacting behavior of the reflection and superposition of flow field due to the complex solid deformations.