9 papers · 1 filter
An Aggregation-based Nonlinear Multigrid Solver for Two-phase Flow and Transport in Porous Media
Chak Shing Lee, François P. Hamon, Nicola Castelletto +2
A nonlinear multigrid solver for two-phase flow and transport in a mixed fractional-flow velocity-pressure-saturation formulation is proposed. The solver, which is under the framew…
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…
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics
Andrea Borio, François Hamon, Nicola Castelletto +2
We present a hybrid mimetic finite-difference and virtual element formulation for coupled single-phase poromechanics on unstructured meshes. The key advantage of the scheme is that…
Simulation of coupled multiphase flow and geomechanics in porous media with embedded discrete fractures
Matteo Cusini, Joshua A. White, Nicola Castelletto +1
In fractured natural formations, the equations governing fluid flow and geomechanics are strongly coupled. Hydrodynamical properties depend on the mechanical configuration, and the…
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…
Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
Matteo Frigo, Nicola Castelletto, Massimiliano Ferronato +1
We consider a mixed hybrid finite element formulation for coupled poromechanics. A stabilization strategy based on a macro-element approach is advanced to eliminate the spurious pr…