In order to avoid the difficulties of the original ghost fluid method (GFM) in simulating the interaction between shock wave and material (fluid-fluid, gas-water) interface with large density ratio, the real ghost fluid method (RGFM) was adopted to treat the ghost points near the material interface, the HLLC (Harten-Lax-Van Leer with contact discontinuities) Riemann solver was applied to solve the Euler equations, and the fifth-order weighted essentially nonoscillatory (WENO) scheme was implemented to solve the level set equation. Numerical simulations were carried out for one-dimensional and twodimensional examples, respectively. Simulated results show that the RGFM is superior to the GFM, and the images by the RGFM can display more details of the interaction between shock wave and material interface, which include the distinct deformation and fragmentation of the material interfaces with high density ratios.