Linearized domain decomposition methods for two-phase porous media flow models involving dynamic capillarity and hysteresis
From MaRDI portal
Publication:2020957
DOI10.1016/j.cma.2020.113364zbMath1506.76142OpenAlexW3082764715MaRDI QIDQ2020957
Iuliu Sorin Pop, Stephan Benjamin Lunowa, Barry Koren
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.2020.113364
Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Basic methods in fluid mechanics (76M99)
Related Items (3)
Non-Overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations ⋮ Towards hybrid two‐phase modelling using linear domain decomposition ⋮ Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Richards equation with hysteresis and degenerate capillary pressure
- Instability of gravity wetting fronts for Richards equations with hysteresis
- 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
- Degenerate two-phase porous media flow model with dynamic capillarity
- Variational inequalities for modeling flow in heterogeneous porous media with entry pressure
- A study on iterative methods for solving Richards' equation
- The unsaturated flow in porous media with dynamic capillary pressure
- The deal.II library, version 9.0
- Mixed finite elements for the Richards' equation: linearization procedure
- Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
- Numerical analysis of a finite volume scheme for two incompressible phase flow with dynamic capillary pressure
- Two-phase porous media flows with dynamic capillary effects and hysteresis: uniqueness of weak solutions
- Iterative linearisation schemes for doubly degenerate parabolic equations
- A linear domain decomposition method for two-phase flow in porous media
- Numerical modeling of two-phase hysteresis combined with an interface condition for heterogeneous porous media
- Wetting fronts in unsaturated porous media: the combined case of hysteresis and dynamic capillary pressure
- 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
- Optimized Schwarz methods for a diffusion problem with discontinuous coefficient
- Regularization of outflow problems in unsaturated porous media with dry regions
- A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
- Dynamic capillary effects in heterogeneous porous media
- Error estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarity
- An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field
- Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
- Hysteresis models and gravity fingering in porous media
- The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points
- Convergence Behaviour of Dirichlet–Neumann and Robin Methods for a Nonlinear Transmission Problem
- Interface conditions for degenerate two-phase flow equations in one space dimension
- Mixed and Hybrid Finite Element Methods
- Timely Communicaton: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
- A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities
- Non-Overlapping DDMs to Solve Flow in Heterogeneous Porous Media
- Two-phase flow equations with a dynamic capillary pressure
- Convergence of an MPFA finite volume scheme for a two‐phase porous media flow model with dynamic capillarity
- High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Overlapping Schwarz Waveform Relaxation for Convection-Dominated Nonlinear Conservation Laws
- Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces
This page was built for publication: Linearized domain decomposition methods for two-phase porous media flow models involving dynamic capillarity and hysteresis
