2014 Rice Oil & Gas HPC

DOWNLOAD PRESENTATION

WATCH VIDEO

We propose a numerical method for solving the miscible displacement problem with discontinuous Galerkin method in space and implicit Runge-Kutta method in time. The method approximates the fluid pressure and the resident fluid concentration by polynomials of arbitrary order. Our algorithm allows us to preserve the high order approximation in both space and time while reducing the computational cost by a decoupling strategy of the pressure and concentration equations. The parallelization of the algorithm has been developed in the Dune framework. Convergence and robustness of the method is shown by several numerical examples.