Convergence of the MAC scheme for the Stokes/Darcy coupling problem
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Publication:1669999
DOI10.1007/s10915-018-0660-7zbMath1404.65218OpenAlexW2791842665MaRDI QIDQ1669999
Ming-Cheng Shiue, Ming-Chih Lai, Kian Chuan Ong
Publication date: 4 September 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0660-7
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)
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A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals ⋮ A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids ⋮ The locking-free finite difference method based on staggered grids for the coupled Stokes–Biot problem ⋮ Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form ⋮ Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations ⋮ A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction ⋮ A simple projection method for the coupled Navier-Stokes and Darcy flows ⋮ Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids
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