21 citations · 87 across the 10 of their papers we have counts for
8 papers · 1 filter
Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media
Mamadou N'diaye, Francois P. Hamon, Hamdi A. Tchelepi
This work focuses on the development of a two-step field-split nonlinear preconditioner to accelerate the convergence of two-phase flow and transport in heterogeneous porous media.…
Smooth Implicit Hybrid Upwinding for Compositional Multiphase Flow in Porous Media
Sebastian B. M. Bosma, Francois P. Hamon, Brad T. Mallison +1
In subsurface multiphase flow simulations, poor nonlinear solver performance is a significant runtime sink. The system of fully implicit mass balance equations is highly nonlinear…
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…
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…
Multi-Level Spectral Deferred Corrections Scheme for the Shallow Water Equations on the Rotating Sphere
Francois Hamon, Martin Schreiber, Michael Minion
Efficient time integration schemes are necessary to capture the complex processes involved in atmospheric flows over long periods of time. In this work, we propose a high-order, im…
Concurrent Implicit Spectral Deferred Correction Scheme for Low-Mach Number Combustion with Detailed Chemistry
Francois Hamon, Marcus Day, Michael Minion
We present a parallel implicit-explicit time integration scheme for the advection-diffusion-reaction systems arising from the equations governing low-Mach number combustion with co…