Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids
DOI10.1007/s10915-022-01763-5zbMath1486.65115OpenAlexW4210704054MaRDI QIDQ2113628
Publication date: 14 March 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01763-5
superconvergencenon-uniform gridsMAC schemeheat transportdiscrete auxiliary functionsStokes-Darcy equation
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items (2)
Cites Work
- Unnamed Item
- Spectral methods based on new formulations for coupled Stokes and Darcy equations
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- Convergence of the MAC scheme for the Stokes/Darcy coupling problem
- Block-centered finite difference method for simulating compressible wormhole propagation
- Energy stability analysis of some fully discrete numerical schemes for incompressible Navier-Stokes equations on staggered grids
- Conservation properties of unstructured staggered mesh schemes
- A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids
- A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport
- Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids
- New fully-mixed finite element methods for the Stokes-Darcy coupling
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- On the Boundary Condition at the Surface of a Porous Medium
- Poiseuille flow in a fluid overlying a porous medium
- Global stability for thermal convection in a fluid overlying a highly porous material
- Analysis and Convergence of the MAC Scheme. I. The Linear Problem
- A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
- A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
- 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
- Convection in a Coupled Free Flow-Porous Media System
- Superconvergence of a fully conservative finite difference method on non-uniform staggered grids for simulating wormhole propagation with the Darcy–Brinkman–Forchheimer framework
- Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
- Discrete Conservation Properties of Unstructured Mesh Schemes
- Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
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