A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media

DOI10.1051/m2an/2019061zbMath1431.76120arXiv1803.00947OpenAlexW2970788955MaRDI QIDQ5216100

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Publication date: 14 February 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00947

zbMATH Keywords

non-Newtonian fluidStokes-Biot modelfluid-poroelastic structure interactionfractured poroelastic media

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (21)

A mixed elasticity formulation for fluid–poroelastic structure interaction ⋮ Global existence of weak solutions to unsaturated poroelasticity ⋮ A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers ⋮ A multipoint stress-flux mixed finite element method for the Stokes-Biot model ⋮ Decoupled modified characteristic finite element method for the time‐dependent Navier–Stokes/Biot problem ⋮ Semilinear Degenerate Biot–Signorini System ⋮ Variational methods for fluid-structure interaction and porous media ⋮ Modeling and a domain decomposition method with finite element discretization for coupled dual-porosity flow and Navier-Stokes flow ⋮ A staggered finite element procedure for the coupled Stokes-Biot system with fluid entry resistance ⋮ A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem ⋮ A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction ⋮ Hybridizable discontinuous Galerkin methods for the coupled Stokes-Biot problem ⋮ New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability ⋮ A Cell-Centered Finite Volume Method for the Navier–Stokes/Biot Model ⋮ Mixed-dimensional poromechanical models of fractured porous media ⋮ Multilayered Poroelasticity Interacting with Stokes Flow ⋮ The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye ⋮ Flow and transport in fractured poroelastic media ⋮ Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model ⋮ Numerical Modeling of the Fluid-Porohyperelastic Structure Interaction

Uses Software

• FreeFem++

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