Sharp, stable, and collocated numerical simulation of incompressible, multi-phase fluid flows

Motivated by atmospheric and oceanic applications, we present a novel collocated projection method for simulating incompressible multi-phase fluid flows in two and three spatial dimensions. This work is an extension of our single-phase, collocated projection method that employs an adaptive mesh refinement strategy using non-graded quad/octrees and supra-convergent finite difference approximations for the viscosity and projection operators. The moving interface is captured using a coupled level set-reference map method, which provides a sharp representation of the interface position. In this presentation, we will focus on the verification and validation of our solver using a variety of two and three dimensional multi-phase flows.