  In this contribution we present a local discontinuous Galerkin (LDG)
pressure-correction scheme for the incompressible Navier-Stokes equations. The
scheme does not need penalty parameters and satisfies the discrete continuity
equation exactly. The scheme is especially suitable for two-phase flow when
used with a piecewise-linear interface construction (PLIC) volume-of-fluid
(VoF) method and cut-cell quadratures.
