Abstract
It is very difficult to implement mesh-based method for underwater explosion (UNDEX) because large deformation and inhomogeneity occur in the whole domain. Therefore Smoothed Particle Hydrodynamics (SPH) method familiar as a particle method is applied to UNDEX problems and the effectiveness has been shown. However the standard SPH method has inconsistency problem, which often leads to remarkable reduction of the accuracy due to the boundary deficiency or unbalanced particle distribution in a support domain. In the UNDEX analysis using the SPH method, the numerical oscillation of pressure also arises from discontinuity at the gas-liquid interface. In this study, we make use of Moving Least Squares (MLS)-SPH method that always fulfills the first order consistency condition and Discontinuous-derivative Basis Function (DBF) in the MLS approximation and investigate into discontinuous-derivative treatment at the gas-liquid interface.
