Abstract: Based on operator splitting technique, Euler equations is splitted into convection part and non-convection part. A predicted solution is obtained by solving the convection part with explicit GFM method. It is corrected by an implicit pressure correction algorithm derived from the non-convection part. A second order primitive explicit-implicit algorithm is built. It shows that CFL condition can be relaxed and efficiency is improved.

Key words: ghost fluid method, explicit-implicit algorithm, operator splitting