On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations

DOI10.1006/jcph.2000.6561zbMath0994.76055OpenAlexW2052988197MaRDI QIDQ1587874

Dana A. Knoll, Vincent Mousseau

Publication date: 7 October 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2000.6561

zbMATH Keywords

multigrid methodsGalerkin proceduredriven cavity problemnatural convection problemmultigrid preconditionerJacobian-free Newton-Krylov methodcoarse grid operators

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Related Items (14)

A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems ⋮ Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution ⋮ An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. ⋮ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. ⋮ A Newton-Krylov method with an approximate analytical Jacobian for implicit solution of Navier-Stokes equations on staggered overset-curvilinear grids with immersed boundaries ⋮ An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization ⋮ Newton's method for the Navier-Stokes equations with finite element initial guess of Stokes equations ⋮ The preconditioned Jacobian-free Newton-Krylov methods for nonequilibrium radiation diffusion equations ⋮ An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner ⋮ A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. ⋮ A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes ⋮ Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion ⋮ An implicit immersed boundary method for three-dimensional fluid-membrane interactions ⋮ An implicit, nonlinear reduced resistive MHD solver

Uses Software

• Wesseling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• An improved convection scheme applied to recombining divertor plasma flows
• Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
• A hybrid multigrid method for the steady-state incompressible Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A steepest gradient method for optimum structural design
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms
• A Multigrid Preconditioned Newton--Krylov Method

This page was built for publication: On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations