Nonlinear parallel-in-time simulations of multiphase flow in porous media

DOI10.1016/j.jcp.2023.112515OpenAlexW4387190400MaRDI QIDQ6087932

Chao Yang, Jizu Huang, Tianpei Cheng, Haijian Yang

Publication date: 16 November 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112515

zbMATH Keywords

reservoir simulationparallel computingnonlinear elimination preconditionerspace-time additive Schwarz methodparallel-in-time solver

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Computer aspects of numerical algorithms (65Yxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A parallel space-time domain decomposition method for unsteady source inversion problems
• Two-level space-time domain decomposition methods for flow control problems
• Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A fully implicit constraint-preserving simulator for the black oil model of petroleum reservoirs
• Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems
• A space-time domain decomposition approach using enhanced velocity mixed finite element method
• Enriched Galerkin methods for two-phase flow in porous media with capillary pressure
• Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems
• Résolution d'EDP par un schéma en temps «pararéel »
• 50 Years of Time Parallel Time Integration
• Composing Scalable Nonlinear Algebraic Solvers
• A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations
• Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
• Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media
• Flexible complementarity solvers for large-scale applications
• Interweaving PFASST and Parallel Multigrid
• Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations
• Parallel Multilevel Restricted Schwarz Preconditioners with Pollution Removing for PDE‐Constrained Optimization
• Comparison of fully implicit and IMPES formulations for simulation of water injection in fractured and unfractured media
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Globally Convergent Inexact Newton Methods
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A Note on Adaptive Nonlinear Preconditioning Techniques
• Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations
• A Space-Time Multigrid Method for Parabolic Partial Differential Equations
• An Analysis of Approximate Nonlinear Elimination
• A Geometric Space-Time Multigrid Algorithm for the Heat Equation
• A Parallel Space-Time Algorithm
• Multilevel space‐time multiplicative Schwarz preconditioner for parabolic equations
• Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method
• Parallel Time Integration with Multigrid
• A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity
• Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique
• Field-Split Preconditioned Inexact Newton Algorithms
• Computational Methods for Multiphase Flows in Porous Media
• An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• Implicit Space-Time Domain Decomposition Methods for Stochastic Parabolic Partial Differential Equations
• Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation
• Analysis of the Parareal Time‐Parallel Time‐Integration Method

This page was built for publication: Nonlinear parallel-in-time simulations of multiphase flow in porous media