73 citations · 334 across the 17 of their papers we have counts for
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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…
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…
Performant low-order matrix-free finite element kernels on GPU architectures
Randolph R. Settgast, Yohann Dudouit, Nicola Castelletto +3
Numerical methods such as the Finite Element Method (FEM) have been successfully adapted to utilize the computational power of GPU accelerators. However, much of the effort around…
Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media
Chak Shing Lee, François P. Hamon, Nicola Castelletto +2
A full approximation scheme (FAS) nonlinear multigrid solver for two-phase flow and transport problems driven by wells with multiple perforations is developed. It is an extension t…
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…
Enhanced Relaxed Physical Factorization preconditioner for coupled poromechanics
Matteo Frigo, Nicola Castelletto, Massimiliano Ferronato
The relaxed physical factorization (RPF) preconditioner is a recent algorithm allowing for the efficient and robust solution to the block linear systems arising from the three-fiel…
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…
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…
Enhanced multiscale restriction-smoothed basis (MsRSB) preconditioning with applications to porous media flow and geomechanics
Sebastian B. M. Bosma, Sergey Klevtsov, Olav Møyner +1
A novel method to enable application of the Multiscale Restricted Smoothed Basis (MsRSB) method to non M-matrices is presented. The original MsRSB method is enhanced with a filteri…
Multi-Stage Preconditioners for Thermal-Compositional-Reactive Flow in Porous Media
Matthias A. Cremon, Nicola Castelletto, Joshua A. White
We present a family of multi-stage preconditioners for coupled thermal-compositional-reactive reservoir simulation problems. The most common preconditioner used in industrial pract…
A Scalable Multigrid Reduction Framework for Multiphase Poromechanics of Heterogeneous Media
Quan M. Bui, Daniel Osei-Kuffuor, Nicola Castelletto +1
Simulation of multiphase poromechanics involves solving a multi-physics problem in which multiphase flow and transport are tightly coupled with the porous medium deformation. To ca…
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…