  In this paper, we present a fast streamline-based numerical method for the
two-phase flow equations in high-rate flooding scenarios for incompressible
fluids in heterogeneous and anisotropic porous media. A fractional flow
formulation is adopted and a discontinuous Galerkin method (DG) is employed to
solve the pressure equation. Capillary effects can be neglected in high-rate
flooding scenarios. This allows us to present an improved streamline approach
in combination with the one-dimensional front tracking method to solve the
transport equation. To handle the high computational costs of the DG
approximation, domain decomposition is applied combined with an algebraic
multigrid preconditioner to solve the linear system. Special care at the
interior interfaces is required and the streamline tracer has to include a
dynamic communication strategy. The method is validated in various two- and
three-dimensional tests, where comparisons of the solutions in terms of
approximation of flow front propagation with standard fully-implicit finite
volume methods are provided.
