On classical iterative subdomain methods for the Stokes-Darcy problem
From MaRDI portal
Publication:723186
DOI10.1007/s10596-014-9418-yzbMath1392.76074OpenAlexW2053310361MaRDI QIDQ723186
Alfonso Caiazzo, Ulrich Wilbrandt, Volker John
Publication date: 30 July 2018
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10596-014-9418-y
Robin boundary conditionshydraulic permeabilityfluid viscositycontinuous and discontinuous updating strategyiterative subdomain methods
Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) PDEs in connection with geophysics (35Q86)
Related Items
A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition, A global-in-time domain decomposition method for the coupled nonlinear Stokes and Darcy flows, ParMooN -- a modernized program package based on mapped finite elements, Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form, Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data, Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations, Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system, Partitioned Coupling Schemes for Free-Flow and Porous-Media Applications with Sharp Interfaces, Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System, Coupling Arbogast-Correa and Bernardi-Raugel elements to resolve coupled Stokes-Darcy flow problems, Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems, A generalized simple implicit interpolation scheme in CFD for non-conforming meshes, A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- MooNMD -- a program package based on mapped finite element methods
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- On boundary conditions for fluid flow in porous media
- Mathematical and numerical models for coupling surface and groundwater flows
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- On the well-posed coupling between free fluid and porous viscous flows
- A unified stabilized method for Stokes' and Darcy's equations
- Coupling Stokes and Darcy equations
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- 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
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
- Coupling Fluid Flow with Porous Media Flow
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Locally Conservative Coupling of Stokes and Darcy Flows
- A Robust Finite Element Method for Darcy--Stokes Flow
- Algorithm 832
