Algebraic flux correction finite element method with semi-implicit time stepping for solute transport in fractured porous media

This work is concerned with the numerical modeling of Darcy flow and solute transport in fractured porous media for which fractures are modeled as interfaces codimension one. The hybrid-dimensional problems discretizaed by a lumped piece-wise linear finite element method, combined algebraic correction convective fluxes. resulting discretization can be interpreted conservative volume scheme that satisfies discrete maximum principle, while introducing very limited amount diffusion. In context CFL number may vary several order magnitude, makes explicit time stepping unfeasible. To cope this difficulty we propose an adaptive semi-implicit strategy reduces to low implicit high regions include, but not fracture network. performance fully variants method investigated through experiment.