Title: Quantifying model-form uncertainty with an application to subsurface transport Abstract: Computational models are increasingly used to make predictions affecting high-consequence engineering design and policy decisions. However, incomplete information about the represented phenomena and limitations in computational resources require approximations and simplifications that can lead to uncertainties in the computational models’ forms and errors in
Title: Bound-Preserving and Phase-wise Conservative Schemes for Incompressible Two-Phase Flow in Porous Media with Multiple Capillary Pressure Functions Abstract: Two or multiple phases commonly occur as fluid mixture in petroleum industry, where oil, gas and water are often produced and transported together. As a result, petroleum reservoir engineers spent great efforts in the development and