This work describes the development of a hybrid framework Runge–Kutta (RK), discontinuous Galerkin (DG), level set (LS) and direct ghost fluid (DGFM) methods for simulation near-field early-time underwater explosions (UNDEX) in early-stage ship design. UNDEX problems provide series challenging issues to be solved. The multi-dimensional, multi-phase, compressible inviscid fluid-governing equatio...