A new stabilized formulation for the simulation of underwater explosions using isogeometric analysis.

We develop a new formulation for the computational modeling of underwater explosions (UNDEX). The formulation is based on the Navier–Stokes equations of compressible flows augmented with the species mass conservation equations. We develop a stabilized formulation with discontinuity capturing for this multiphase model using the framework of advective–diffusive systems. Isogeometric Analysis is successfully employed to discretize the resulting stabilized formulation. Novel interface sharpening and mass correction procedures are also developed based on the invertible mapping between the level-set and volume fraction functions. Several numerical examples of increasing complexity and including experimental validation are presented in order to demonstrate the good performance of the new UNDEX modeling methodology. [ABSTRACT FROM AUTHOR]