Analysis of the Stokes–Darcy problem with generalised interface conditions
DOI10.1051/m2an/2022025zbMath1490.35311arXiv2104.02339OpenAlexW3147206745MaRDI QIDQ5074194
Iryna Rybak, Elissa Eggenweiler, Marco Discacciati
Publication date: 9 May 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.02339
PDEs in connection with fluid mechanics (35Q35) 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 element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows
- Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- An introduction to Sobolev spaces and interpolation spaces
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow
- Functional analysis, Sobolev spaces and partial differential equations
- Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
- Momentum transport at a fluid-porous interface.
- Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization
- Mathematical and numerical models for coupling surface and groundwater flows
- Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models
- On the solution of coupled Stokes/Darcy model with Beavers-Joseph interface condition
- Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
- Non-isothermal compositional liquid gas Darcy flow: formulation, soil-atmosphere boundary condition and application to high-energy geothermal simulations
- Homogenization and porous media
- Fluid flow over and through a regular bundle of rigid fibres
- On the Boundary Condition at the Surface of a Porous Medium
- Exact constants in Poincaré type inequalities for functions with zero mean boundary traces
- DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
- Coupling Fluid Flow with Porous Media Flow
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions
- New development in freefem++
- Effective Coupling Conditions for Arbitrary Flows in Stokes--Darcy Systems
- Transfer of mass and momentum at rough and porous surfaces
- Unsuitability of the Beavers–Joseph interface condition for filtration problems
- A framework for computing effective boundary conditions at the interface between free fluid and a porous medium
- Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification
