A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids
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Publication:2177940
DOI10.1007/s10915-020-01181-5zbMath1445.76056OpenAlexW3011131613MaRDI QIDQ2177940
Publication date: 7 May 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01181-5
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
Related Items (9)
The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem ⋮ Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities ⋮ Analysis of the MAC scheme for the three dimensional Stokes problem ⋮ Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations ⋮ Second order convergence of a modified MAC scheme for Stokes interface problems ⋮ An FFT-based MAC scheme for Stokes equations with periodic boundary conditions and its application to elasticity problems ⋮ A robust discrete scheme based on staggered grids for poroelastic-elastic coupled problems ⋮ A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction ⋮ Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids
Cites Work
- Unnamed Item
- Unnamed Item
- A rectangular mixed element method with continuous flux approximation for coupling Stokes and Darcy flows
- Spectral methods based on new formulations for coupled Stokes and Darcy equations
- A decoupled preconditioning technique for a mixed Stokes-Darcy model
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- 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
- W\(^{1,q }\) stability of the Fortin operator for the MAC scheme
- Domain decomposition for coupled Stokes and Darcy flows
- The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes
- A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- Convergence of the MAC scheme for the Stokes/Darcy coupling problem
- Mathematical and numerical models for coupling surface and groundwater flows
- Convergence analysis of triangular MAC schemes for two dimensional Stokes equations
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids
- Approximation of coupled Stokes-Darcy flow in an axisymmetric domain
- Mortar multiscale finite element methods for Stokes-Darcy flows
- New fully-mixed finite element methods for the Stokes-Darcy coupling
- Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
- Time-dependent coupling of Navier–Stokes and Darcy flows
- Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
- Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
- A Generalized MAC Scheme on Curvilinear Domains
- Combining a level-set method and a mixed stabilized P1/P1 formulation for coupling Stokes-Darcy flows
- Convergence of the MAC Scheme for the Steady-State Incompressible Navier-Stokes Equations on Non-uniform Grids
- Convergence of the MAC Scheme for the Compressible Stokes Equations
- Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
- A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
- On the Boundary Condition at the Surface of a Porous Medium
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Analysis and Convergence of the MAC Scheme. I. The Linear Problem
- A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
- Coupling Fluid Flow with Porous Media Flow
- An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows
- Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids
- Locally Conservative Coupling of Stokes and Darcy Flows
- Finite-element error estimates for the MAC scheme
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Domain Decomposition Methods for Solving Stokes--Darcy Problems with Boundary Integrals
- Stability and convergence of the mark and cell finite difference scheme for Darcy‐Stokes‐Brinkman equations on non‐uniform grids
- Pseudospectral Least Squares Method for Stokes--Darcy Equations
- Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
- Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes-Darcy coupling
- Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
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