Space-time domain decomposition for two-phase flow between different rock types
DOI10.1016/j.cma.2020.113294zbMath1506.76162OpenAlexW2973490123MaRDI QIDQ2021095
Michel Kern, Elyes Ahmed, Caroline Japhet
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113294
discontinuous capillary pressurenonconforming time gridstwo-phase Darcy flownonlinear and discontinuous Robin transmission conditionsoptimized Schwarz waveform relaxationspacetime domain decomposition method
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10)
Related Items (4)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
- Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
- Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media
- Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures
- Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
- Nonlinear parabolic equations with spatial discontinuities
- Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media
- Two-phase flows involving capillary barriers in heterogeneous porous media
- Quasilinear elliptic-parabolic differential equations
- Degenerate two-phase incompressible flow. IV: Local refinement and domain decomposition
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
- Stokes-Darcy equations. Analytic and numerical analysis
- The gradient discretisation method
- A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
- A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations
- Numerical simulation of gas migration through engineered and geological barriers for a deep repository for radioactive waste
- Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
- On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types
- A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations
- Iterative linearisation schemes for doubly degenerate parabolic equations
- A linear domain decomposition method for two-phase flow in porous media
- Global-in-time domain decomposition for a nonlinear diffusion problem
- A reduced fracture model for two-phase flow with different rock types
- Space-time domain decomposition for advection-diffusion problems in mixed formulations
- A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods
- A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types
- A linear domain decomposition method for partially saturated flow in porous media
- A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
- Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. I: The constant coefficients case
- Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. II: The variable coefficients case
- Error estimates for a mixed finite element discretization of some degenerate parabolic equations
- Hele-Shaw type problems with dynamical boundary conditions
- A Discontinuous Coarse Space (DCS) Algorithm for Cell Centered Finite Volume Based Domain Decomposition Methods: The DCS-RJMin Algorithm
- Ventcell Conditions with Mixed Formulations for Flow in Porous Media
- An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
- Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
- Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium
- The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points
- Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation
- On the structure of spectra of travelling waves
- A homographic best approximation problem with application to optimized Schwarz waveform relaxation
- Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository
- A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
- Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
- An Introduction to Domain Decomposition Methods
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- Homogenization of Degenerate Two-Phase Flow Equations with Oil Trapping
- Finite volumes and nonlinear diffusion equations
- Mathematical Analysis for Reservoir Models
- Existence of solutions to various rock types odel model of two-phase flow in porous media
- Analysis of Oil Trapping in Porous Media Flow
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities
- Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy
- Numerical analysis of a finite volume scheme for a seawater intrusion model with cross‐diffusion in an unconfined aquifer
- The existence of weak solutions to single porosity and simple dual-porosity models of two-phase incompressible flow
- A General Chain Rule for Distributional Derivatives
- Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
- Design and analysis of a Schwarz coupling method for a dimensionally heterogeneous problem
- Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
- A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model
- A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations
- An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
- Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces
- Optimized Schwarz Methods
- An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
- Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution
This page was built for publication: Space-time domain decomposition for two-phase flow between different rock types