Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system
From MaRDI portal
Publication:2141606
DOI10.1016/j.cam.2022.114326zbMath1491.65098OpenAlexW4224041184MaRDI QIDQ2141606
Haibiao Zheng, Md. Abdullah Al Mahbub, Jian Li, Xue Wang, Zhang-Xin Chen
Publication date: 25 May 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114326
stabilitynumerical experimentsrotational pressure-correction schemesStokes/Darcy systemsecond-order/third-order temporal scheme
Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Unconditionally energy-stable finite element scheme for the chemotaxis-fluid system, A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system
- Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems
- A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations
- Perturbation solution of the coupled Stokes-Darcy problem
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- Parallel finite element algorithm based on full domain partition for stationary Stokes equations
- Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
- Coupling nonlinear Stokes and Darcy flow using mortar finite elements
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
- A parallel domain decomposition method for coupling of surface and groundwater flows
- Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
- Local and parallel finite element algorithms for the Stokes problem
- Numerical analysis of the Navier-Stokes/Darcy coupling
- 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
- Boundary integral solutions of coupled Stokes and Darcy flows
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- A new stabilized finite volume method for the stationary Stokes equations
- Stokes-Darcy boundary integral solutions using preconditioners
- Mathematical and numerical models for coupling surface and groundwater flows
- The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem
- An overview of projection methods for incompressible flows
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
- Optimal \(L^2\), \(H^1\) and \(L^{\infty}\) analysis of finite volume methods for the stationary Navier-Stokes equations with large data
- A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow
- Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
- Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
- Decoupled Time Stepping Methods for Fluid-Fluid Interaction
- Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem
- A posteriori error estimate for the Stokes-Darcy 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
- A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
- First-Order System Least Squares for Coupled Stokes–Darcy Flow
- Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
- A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
- A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
- Mortar finite element discretization of a model coupling Darcy and Stokes equations
- 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
- Unified finite element discretizations of coupled Darcy-Stokes flow
- Velocity-Correction Projection Methods for Incompressible Flows
- Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
- Locally Conservative Coupling of Stokes and Darcy Flows
- On the error estimates for the rotational pressure-correction projection methods
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
- Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
- A linear, decoupled fractional time‐stepping method for the nonlinear fluid–fluid interaction
- Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem
- An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection
- Computational Methods for Multiphase Flows in Porous Media
- Numerical Solution of the Navier-Stokes Equations
- Finite Element Methods and Their Applications
- Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
- Integration of Stiff Equations
