Coupling of Darcy–Forchheimer and Compressible Navier–Stokes Equations with Heat Transfer

DOI10.1137/070709517zbMath1251.76021OpenAlexW2068458187MaRDI QIDQ3558700

L. Lizaik, Mohamed Amara, Daniela Capatina

Publication date: 6 May 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070709517

zbMATH Keywords

mixed finite elementsNavier-Stokesmultiscale couplingDarcy-Forchheimerpetroleum wellbore and reservoir

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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)

Related Items (7)

On limiting behavior of contaminant transport models in coupled surface and groundwater flows ⋮ The well-posedness and discontinuous Galerkin approximation for the non-Newtonian Stokes-Darcy-Forchheimer coupling system ⋮ A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations ⋮ Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition ⋮ Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition ⋮ Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems ⋮ A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem

Uses Software

• NSIKE

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