An Anti-diffusion Based Eulerian Interface-sharpening Algorithm for Compressible Two-phase Flow with Cavitation

We describe a novel interface-sharpening approach for the efficient numerical simulation of compressible two-phase flow with cavitation. The algorithm uses a five-equation transport model developed by Allaire et al. (J. Comput. Phys. 181 (2002) 577-616) as the basis, and incorporates both the auxiliary antidiffusive terms to the equations as a model for interface sharpening and an energy-preserving pressure cutoff procedure as a model for cavitation. A standard fractional-step method is employed to solve the proposed model equations in two separate steps, yielding an easy implementation of the algorithm. Sample numerical results for underwater explosions in two dimensions are shown to demonstrate the feasibility of the algorithm for practical problems.