Full implicit WENO scheme for two phase flow in reservoir simulation
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This master thesis studies the use of essentially non-oscillatory schemes for the spatial discretization in a full implicit two-phase flow model used to solve flow and transport in porous media. The implicit model is based on a standard full implicit model implemented in MRST, the MATLAB Reservoir Simulation Toolbox developed by researchers at SINTEF. The method is tested for its ability to reduce grid orientation effects and to capture viscous fingering in unstable flow. The results were compared to those of the standard model as well as another higher-order method developed by SINTEF. The method was found to reduce grid orientation effects better than the standard model. It also captures viscous fingering more accurately than the standard model, but not as well as the other higher-order method.