  We present a technique to perform interface-resolved simulations of complex
breakup dynamics in two-phase flows using the Cahn-Hilliard Navier-Stokes
equations. The method dynamically decreases the interface thickness parameter
in relevant regions and simultaneously increases local mesh resolution,
preventing numerical artifacts. We perform a detailed numerical simulation of
pulsed jet atomization that shows a complex cascade of break-up mechanisms
involving sheet rupture and filament formation. To understand the effect of
refinement on the breakup, we analyze the droplet size distribution. The
proposed approach opens up resolved simulations for various multiphase flow
phenomena.
