A Cell-Centered Finite Volume Method for the Navier–Stokes/Biot Model
DOI10.1007/978-3-030-43651-3_29zbMath1454.65080OpenAlexW3034709119MaRDI QIDQ5117452
Tongtong Li, Sergio Caucao, Ivan Yotov
Publication date: 25 August 2020
Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_29
Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05) Biomechanical solid mechanics (74L15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media
- Two families of mixed finite elements for second order elliptic problems
- A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
- A multipoint stress-flux mixed finite element method for the Stokes-Biot model
- A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
- A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids
- A Multipoint Flux Mixed Finite Element Method
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