Second order fully discrete defect‐correction scheme for nonstationary conduction‐convection problem at high <scp>R</scp>eynolds number

DOI10.1002/num.22115zbMath1370.65056OpenAlexW2547081703MaRDI QIDQ5269903

Haiyan Su, Xinlong Feng, Yin-Nian He

Publication date: 28 June 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22115

zbMATH Keywords

stabilityfinite element methoderror estimatebuoyancy-driven cavity flowCrank-Nicolson methoddefect-correction methodhigh Reynolds number flowtime-dependent conduction-convection

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density ⋮ A new two-level defect-correction method for the steady Navier-Stokes equations ⋮ Parallel two-grid finite element method for the time-dependent natural convection problem with non-smooth initial data ⋮ Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping ⋮ Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem ⋮ A discrete Hopf interpolant and stability of the finite element method for natural convection ⋮ Novel fractional time-stepping algorithms for natural convection problems with variable density ⋮ An adaptive enriched semi-Lagrangian finite element method for coupled flow-transport problems

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