Well-Posedness and Finite Element Approximation for the Convection Model in Superposed Fluid and Porous Layers

DOI10.1137/19M1241532zbMath1434.76076OpenAlexW3004737538MaRDI QIDQ5215526

Yuhong Zhang, Li Shan, Yan-ren Hou

Publication date: 12 February 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1241532

zbMATH Keywords

iterative algorithmnatural convectionerror analysisheat equationsNavier-Stokes/Darcy system

Mathematics Subject Classification ID

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) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

Predicting convection configurations in coupled fluid–porous systems ⋮ Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow ⋮ A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers ⋮ A two‐grid method with backtracking for the mixed <scp>Navier–Stokes</scp>/Darcy model ⋮ Ensemble Domain Decomposition Algorithm for the Fully Mixed Random Stokes–Darcy Model with the Beavers–Joseph Interface Conditions ⋮ A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model ⋮ Well-posedness and finite element approximation for the steady-state closed-loop geothermal system ⋮ Two-grid domain decomposition methods for the coupled Stokes-Darcy system

Uses Software

• FreeFem++

Cites Work

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