Several iterative schemes for the stationary natural convection equations at different <scp>R</scp>ayleigh numbers

DOI10.1002/num.21915zbMath1325.65154OpenAlexW1939682032MaRDI QIDQ5252271

Pengzhan Huang, Wenqiang Li, Zhiyong Si

Publication date: 29 May 2015

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

Full work available at URL: https://doi.org/10.1002/num.21915

zbMATH Keywords

finite element discretizationiterative schemesuniqueness conditionRayleigh numbersnatural convection equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free convection (76R10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (13)

An augmented fully-mixed finite element method for the stationary Boussinesq problem ⋮ A superconvergence result of the natural convection equations ⋮ Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis ⋮ On a two-order temporal scheme for Navier-Stokes/Navier-Stokes equations ⋮ Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections ⋮ Well-posedness and finite element approximation for the steady-state closed-loop geothermal system ⋮ A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity ⋮ Parallel two-grid finite element method for the time-dependent natural convection problem with non-smooth initial data ⋮ A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem ⋮ Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem ⋮ The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data ⋮ Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers ⋮ A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system

Uses Software

• FreeFem++

Cites Work

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