Derivative Computation using an Adjoint-Based Goal-Oriented Iterative Multiscale Lagrangian Framework: Application to Reservoir Simulation

Even though negative effects on the use of crude oil have surfaced over the past years, our energy matrix still largely relies on this energy source. The production of oil, therefore, plays an important role in our society. Unfortunately, the process of oil production is highly uncertain. There are uncertainties associated on the production...

Adaptive Deflated Multiscale Solvers

Existing multiscale solvers use a sequence of aggressive restriction, coarse-grid correction and prolongation operators to handle low-frequency modes on the coarse grid. High-frequency errors are resolved by employing a smoother on the fine grid. Deflation preconditioning improves matrix properties, i.e., damps slowly varying errors,...

Multiscale Finite Volume Method for Coupled Single-Phase Flow and Heat Equations in Fractured Porous Media: Application to Geothermal Systems

Modern geoscience challenges motivate the development of advanced simulation methods for large-scale geothermal fields, where single- or multi-phase flow is coupled with heat transfer equation in heterogeneous fractured formations. The state-of-the-art multiscale formulation for fractured media (F-AMS; Tene et al., JCP, 2016) develops an...