2019

The subject of the paper is the numerical simulation of two-phase flow of immiscible fluids. Their motion is described by the incompressible Navier-Stokes equations with piecewise constant density and viscosity.

The interface between the fluids is defined with the level set method using a transport first-order hyperbolic equation. The Navier-Stokes problem is discretized by the Taylor-Hood P2/P1 finite elements combined with second-order BDF method in time.

The transport level set problem is solved with the aid of the space-time discontinuous Galerkin method.