Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore

DOI10.1016/j.cma.2021.114248OpenAlexW3211435399MaRDI QIDQ2060161

Changxin Qiu, Xiaoming He, Dan Hu, Jiangyong Hou

Publication date: 13 December 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.2021.114248

zbMATH Keywords

boundary/interface conditionsdecoupled finite element methoddual-porosity-Navier-Stokes modelmultistage fractured horizontal wellbore

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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)

Related Items (7)

Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities ⋮ A decoupled and iterative finite element method for generalized Boussinesq equations ⋮ New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System ⋮ A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches ⋮ Modeling and a domain decomposition method with finite element discretization for coupled dual-porosity flow and Navier-Stokes flow ⋮ Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• A numerical method for a model of two-phase flow in a coupled free flow and porous media system
• A multiple-time-step technique for coupled free flow and porous medium systems
• Approximation of the Stokes-Darcy system by optimization
• A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
• On the solution of the coupled Navier-Stokes and Darcy equations
• Existence and uniqueness of global weak solutions to a Cahn-Hilliard-Stokes-Darcy system for two phase incompressible flows in karstic geometry
• Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem
• A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
• Numerical analysis of the Navier-Stokes/Darcy coupling
• FETI and BDD preconditioners for Stokes-Mortar-Darcy systems
• Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
• Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system
• A strongly conservative finite element method for the coupling of Stokes and Darcy flow
• Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
• An efficient ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations
• Partitioned time stepping method for a dual-porosity-Stokes model
• Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition
• Robin-Robin domain decomposition methods for the dual-porosity-conduit system
• Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media
• A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition
• A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
• A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans
• A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system
• Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
• Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition
• Mortar multiscale finite element methods for Stokes-Darcy flows
• A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow
• Time-dependent coupling of Navier–Stokes and Darcy flows
• Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
• Two-phase flows in karstic geometry
• Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
• Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
• Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
• First-Order System Least Squares for Coupled Stokes–Darcy Flow
• A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
• Coupling Stokes–Darcy Flow with Transport
• A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
• Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
• A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
• DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
• Decoupled schemes for a non-stationary mixed Stokes-Darcy model
• Analysis of time-dependent Navier–Stokes flow coupled with Darcy flow
• Coupling Fluid Flow with Porous Media Flow
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
• On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model
• Domain Decomposition Methods for Solving Stokes--Darcy Problems with Boundary Integrals
• Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
• A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System
• Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems

This page was built for publication: Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore