73 citations · 347 across the 31 of their papers we have counts for
10 papers · 1 filter
Adaptive Consistency for Mimetic Finite Differences
Yoo Jin Cha, Omar Duran, Nicola Castelletto +2
The mimetic finite difference (MFD) method provides a robust discretization for flow simulation on general polyhedral meshes, but its computational cost can become significant due…
A robust framework for frictional fault contact in geological formations using a stabilized augmented Lagrangian approach
Matteo Frigo, Nicola Castelletto, Matteo Cusini +2
Numerical simulations are essential for evaluating the performance and safety of geological engineered systems such as geologic carbon storage sites, enhanced geothermal fields, an…
Pressure stability in explicitly coupled simulations of poromechanics with application to CO sequestration
Ryan M. Aronson, Pavel Tomin, Nicola Castelletto +3
We study in detail the pressure stabilizing effects of the non-iterated fixed-stress splitting in poromechanical problems which are nearly undrained and incompressible. When applie…
Pressure-stabilized fixed-stress iterative solutions of compositional poromechanics
Ryan M. Aronson, Nicola Castelletto, François P. Hamon +2
We consider the numerical behavior of the fixed-stress splitting method for coupled poromechanics as undrained regimes are approached. We explain that pressure stability is related…
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…
Second Order Accurate Hierarchical Approximate Factorization of Sparse SPD Matrices
Bazyli Klockiewicz, Léopold Cambier, Ryan Humble +2
We describe a second-order accurate approach to sparsifying the off-diagonal blocks in the hierarchical approximate factorizations of sparse symmetric positive definite matrices. T…
Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures
Andrea Franceschini, Nicola Castelletto, Joshua A. White +1
Accurate numerical simulation of coupled fracture/fault deformation and fluid flow is crucial to the performance and safety assessment of many subsurface systems. In this work, we…
A Two-Stage Preconditioner for Multiphase Poromechanics in Reservoir Simulation
Joshua A. White, Nicola Castelletto, Sergey Klevtsov +3
Many applications involving porous media--notably reservoir engineering and geologic applications--involve tight coupling between multiphase fluid flow, transport, and poromechanic…
Stochastic Galerkin Framework with Locally Reduced Bases for Nonlinear Two-Phase Transport in Heterogeneous Formations
Per Pettersson, Hamdi A. Tchelepi
The generalized polynomial chaos method is applied to the Buckley-Leverett equation. We consider a spatially homogeneous domain modeled as a random field. The problem is projected…