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Numerical Error Quantification of Agent-Based Models as Applied to Oil Reservoir Simulation
Agent-based models (ABMs) provide a fast alternative to traditional oil reservoir models by applying localized inexpensive simulations, rather than solving a partial differential equation at every time-step. However, while ...
A Hybrid Numerical Scheme for Immiscible Two-Phase Flow
This thesis proposes a hybrid numerical scheme for immiscible, two-phase flow in porous media, for two separate partial differential equation (PDE) formulations. Discontinuous Galerkin (DG) methods are a commonly used ...