A Framework of Runge–Kutta, Discontinuous Galerkin, Level Set and Direct Ghost Fluid Methods for the Multi-Dimensional Simulation of Underwater Explosions

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 equations must solved numerically. shock front solution field captured accurately while maintaining total variation diminishing (TVD) properties. interface between explosive gas water tracked without letting numerical diffusion across material lead spurious pressure oscillations thus failure simulation. non-reflecting boundary condition (NRBC) effectively absorb wave prevent it from reflecting back into fluid. Furthermore, CFD solver have capability dealing with fluid–structure interactions (FSI) where both structural domains respond significant deformation. These necessitate model. In-house solvers (UNDEXVT) are developed test applicability this framework. In development, code verification validation performed. Different implementing conditions (NRBCs) compared. results single multi-dimensional cases that possess features—such as rarefaction waves fluid, explosion bubble, its radius over time—are presented. Continuing research on two-way coupled FSI large deformation is introduced, together more complete description method will described subsequent papers.