Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media

DOI10.1137/15M1041882zbMath1383.76384OpenAlexW2486813770MaRDI QIDQ3186108

Haijian Yang, Shuyu Sun, Chao Yang

Publication date: 8 August 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1041882

zbMATH Keywords

variational inequalitytwo-phase flowparallel computingnonlinear eliminationnonlinear preconditionersactive-set reduced-space methods

Mathematics Subject Classification ID

Related Items (34)

Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state ⋮ Fully implicit two-phase VT-flash compositional flow simulation enhanced by multilayer nonlinear elimination ⋮ Scalable semismooth Newton methods with multilevel domain decomposition for subsurface flow and reactive transport in porous media ⋮ A Nonlinear Elimination Preconditioned Inexact Newton Algorithm ⋮ An adaptive nonlinear elimination preconditioned inexact Newton algorithm for highly local nonlinear multicomponent PDE systems ⋮ Nonlinearly preconditioned constraint-preserving algorithms for subsurface three-phase flow with capillarity ⋮ \(\text{PIN}^{\mathcal L}\)  : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations ⋮ Variational inequality transport model on the sphere by the active-set reduced-space algorithm ⋮ Nonlinear parallel-in-time simulations of multiphase flow in porous media ⋮ A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media ⋮ Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation ⋮ Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems ⋮ Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows ⋮ A fully implicit constraint-preserving simulator for the black oil model of petroleum reservoirs ⋮ Darcy-scale phase equilibrium modeling with gravity and capillarity ⋮ A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis ⋮ A Multilayer Nonlinear Elimination Preconditioned Inexact Newton Method for Steady-State Incompressible Flow Problems in Three Dimensions ⋮ A Note on Adaptive Nonlinear Preconditioning Techniques ⋮ Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media ⋮ Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method ⋮ Semismooth Newton methods with domain decomposition for American options ⋮ Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery ⋮ A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems ⋮ The primal-dual active set method for a class of nonlinear problems with \(T\)-monotone operators ⋮ An adaptive time stepping algorithm for IMPES with high order polynomial extrapolation ⋮ A scalable fully implicit framework for reservoir simulation on parallel computers ⋮ A Lattice Boltzmann Model for Two-Phase Flow in Porous Media ⋮ A fully mass-conservative iterative IMPEC method for multicomponent compressible flow in porous media ⋮ Parallel multilevel domain decomposition preconditioners for monolithic solution of non-isothermal flow in reservoir simulation ⋮ Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids ⋮ Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method ⋮ Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media ⋮ Approximate Error Bounds on Solutions of Nonlinearly Preconditioned PDEs ⋮ Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints

Uses Software

• PETSc
• MRST
• MODFLOW

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new treatment of capillarity to improve the stability of IMPES two-phase flow formulation
• Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation
• Open-source MATLAB implementation of consistent discretisations on complex grids
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Experiments with implicit upwind methods for the Euler equations
• A parallel, implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov solver
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation
• A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations
• A primal-dual active-set algorithm for bilaterally constrained total variation deblurring and piecewise constant Mumford-Shah segmentation problems
• Potential-based reduced Newton algorithm for nonlinear multiphase flow in porous media
• Composing Scalable Nonlinear Algebraic Solvers
• Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method
• Nonlinear FETI-DP and BDDC Methods
• The Semismooth Algorithm for Large Scale Complementarity Problems
• A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows
• Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
• A Scalable Newton–Krylov–Schwarz Method for the Bidomain Reaction-Diffusion System
• Flexible complementarity solvers for large-scale applications
• Comparison of fully implicit and IMPES formulations for simulation of water injection in fractured and unfractured media
• Primal-Dual Strategy for Constrained Optimal Control Problems
• Globally Convergent Inexact Newton Methods
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Nonlinearly Preconditioned Inexact Newton Algorithms
• The primal-dual active set method for a crack problem with non-penetration
• An Analysis of Approximate Nonlinear Elimination
• Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints
• Field-Split Preconditioned Inexact Newton Algorithms
• Computational Methods for Multiphase Flows in Porous Media
• Convergence of Discontinuous Galerkin Methods for Incompressible Two-Phase Flow in Heterogeneous Media

This page was built for publication: Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media