A Constrained Pressure-Temperature Residual (CPTR) Method for Non-Isothermal Multiphase Flow in Porous Media

DOI10.1137/19M1292023zbMath1452.76101arXiv1907.04229MaRDI QIDQ5132027

Christopher Lemon, Thomas Roy, T. B. Jönsthövel, Andrew J. Wathen

Publication date: 9 November 2020

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

Full work available at URL: https://arxiv.org/abs/1907.04229

zbMATH Keywords

preconditioningiterative methodsporous mediamultiphase flowthermal reservoir simulation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations ⋮ Explicit-implicit schemes for non-isothermal filtration problem: single-temperature model ⋮ Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms ⋮ Nonlinearly Constrained Pressure Residual (NCPR) Algorithms for Fractured Reservoir Simulation ⋮ Chronos: A General Purpose Classical AMG Solver for High Performance Computing ⋮ Multigrid reduction preconditioning framework for coupled processes in porous and fractured media ⋮ Parallel multilevel domain decomposition preconditioners for monolithic solution of non-isothermal flow in reservoir simulation

Uses Software

• BoomerAMG
• hypre
• PETSc
• ML
• UFL
• IPARS
• Firedrake
• CPR-AMG

Cites Work

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• AMG for problems of elasticity
• \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
• Decoupling and block preconditioning for sedimentary basin simulations
• A block preconditioner for non-isothermal flow in porous media
• Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media
• Finite Elements and Fast Iterative Solvers
• Firedrake
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Iterative Solution Methods for Modeling Multiphase Flow in Porous Media Fully Implicitly
• Finite Volume Methods for Hyperbolic Problems
• Solver Composition Across the PDE/Linear Algebra Barrier
• Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media
• Unified form language

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