  Flow in fractured porous media is modeled frequently by discrete
fracture-matrix approaches where fractures are treated as dimensionally reduced
manifolds. Generalizing earlier work we focus on two-phase flow in
time-dependent fracture geometries including the fracture's aperture. We
present the derivation of a reduced model for immiscible two-phase flow in
porous media. For the reduced model we present a fully conforming finite-volume
discretization coupled with a moving-mesh method. This method permits arbitrary
movement of facets of the triangulation while being fully conservative. In
numerical examples we show the performance of the scheme and investigate the
modeling error of the reduced model.
