Fast iterative solvers for buoyancy driven flow problems

DOI10.1016/j.jcp.2011.02.014zbMath1369.76040OpenAlexW2148062351MaRDI QIDQ544563

Howard C. Elman, Milan D. Mihajlović, David J. Silvester

Publication date: 15 June 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1611/1/paperJCP.pdf

zbMATH Keywords

boussinesqpreconditioningfinite element approximationadaptivityalgebraic multigridNavier-Stokestime stepping

Mathematics Subject Classification ID

Related Items (17)

Robust stabilised finite element solvers for generalised Newtonian fluid flows ⋮ Augmented Lagrangian-based preconditioners for steady buoyancy driven flow ⋮ The Euler implicit/explicit scheme for the Boussinesq equations ⋮ A superconvergence result of the natural convection equations ⋮ A low-rank solver for the stochastic unsteady Navier-Stokes problem ⋮ Multilevel field-split preconditioners with domain decomposition for steady and unsteady flow problems ⋮ On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions ⋮ New preconditioning techniques for the steady and unsteady buoyancy driven flow problems ⋮ Deflated preconditioned conjugate gradients applied to a Petrov-Galerkin generalized least squares finite element formulation for incompressible flows with heat transfer ⋮ An AMG Preconditioner for Solving the Navier-Stokes Equations with a Moving Mesh Finite Element Method ⋮ Construction of H-Refined Continuous Finite Element Spaces with Arbitrary Hanging Node Configurations and Applications to Multigrid Algorithms ⋮ A Schwarz method for a Rayleigh-Bénard problem ⋮ Smooth and robust solutions for Dirichlet boundary control of fluid-solid conjugate heat transfer problems ⋮ A fast and robust computational method for the ionization cross sections of the driven Schrödinger equation using an \(\mathcal{O}(N)\) multigrid-based scheme ⋮ An adaptive step implicit midpoint rule for the time integration of Newton's linearisations of non-linear problems with applications in micromagnetics ⋮ A New Stabilization of Adaptive Step Trapezoid Rule Based on Finite Difference Interrupts ⋮ Decoupled two level finite element methods for the steady natural convection problem

Uses Software

• IFISS
• HSL_MI20

Cites Work

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• SIMPLE-type preconditioners for the Oseen problem
• Oscillatory convection in liquid metals in a horizontal temperature gradient
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• An extended Chebyshev pseudo‐spectral benchmark for the 8:1 differentially heated cavity
• An operator‐splitting finite‐element approach to the 8:1 thermal‐cavity problem
• Stability of multiple steady states of convection in laterally heated cavities
• HSL_MI20 : An efficient AMG preconditioner for finite element problems in 3D
• Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion

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