5 papers
Multigrid reduction preconditioning framework for coupled processes in porous and fractured media
Quan M. Bui, Francois P. Hamon, Nicola Castelletto +3
Many subsurface engineering applications involve tight-coupling between fluid flow, solid deformation, fracturing, and similar processes. To better understand the complex interplay…
Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems
Chak Shing Lee, François Hamon, Nicola Castelletto +2
This work develops a nonlinear multigrid method for diffusion problems discretized by cell-centered finite volume methods on general unstructured grids. The multigrid hierarchy is…
Finite-Volume Simulation of Capillary-Dominated Flow in Matrix-Fracture Systems using Interface Conditions
Ammar Alali, Francois Hamon, Bradley Mallison +1
In numerical simulations of multiphase flow and transport in fractured porous media, the estimation of the hydrocarbon recovery requires accurately predicting the capillary-driven…
Parallel-in-Time Multi-Level Integration of the Shallow-Water Equations on the Rotating Sphere
Francois P. Hamon, Martin Schreiber, Michael L. Minion
The modeling of atmospheric processes in the context of weather and climate simulations is an important and computationally expensive challenge. The temporal integration of the und…
Fully Implicit Multidimensional Hybrid Upwind Scheme for Coupled Flow and Transport
Francois P. Hamon, Bradley T. Mallison
Robust and accurate fully implicit finite-volume schemes applied to Darcy-scale multiphase flow and transport in porous media are highly desirable. Recently, a smooth approximation…