The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye

DOI10.1016/j.cma.2021.114384OpenAlexW3170666415MaRDI QIDQ2072482

Ricardo Ruiz-Baier, Matteo Taffetani, Hans D. Westermeyer, Ivan Yotov

Publication date: 26 January 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09191

zbMATH Keywords

mixed finite element methodstransmission problemporous media flowtotal pressureBiot consolidationeye fluid poromechanics

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) 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) Physiological flow (92C35)

Related Items (8)

A finite element scheme for the numerical solution of the Navier-Stokes/Biot coupled problem ⋮ Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers ⋮ Multiphysics mixed finite element method with Nitsche's technique for Stokes‐poroelasticity problem ⋮ Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials ⋮ A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem ⋮ Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion ⋮ Hybridizable discontinuous Galerkin methods for the coupled Stokes-Biot problem ⋮ New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability

Uses Software

• SINTEF
• FEniCS
• multiphenics

Cites Work

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