An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport
type: Item
instance of: scholarly article
title: An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport
zbMATH Open document ID: 0898.76066
author: John N. Shadid
author: Ray Tuminaro
author: Homer F. Walker
published in: Journal of Computational Physics
publication date: 1998-01-06T00:00:00Z
review text: We propose a nonlinear solution method based on an inexact Newton method with backtracking. We use a particular spatial discretization based on a pressure stabilized Petrov-Galerkin finite element formulation of the low Mach number Navier-Stokes equations with heat and mass transport. Our discussion considers computational efficiency, robustness and some implementation issues. Computational results are presented for two large-scale three-dimensional flow simulations.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1100747
zbMATH Keywords: Newton-Krylov methods
zbMATH Keywords: forcing terms
zbMATH Keywords: GMRES
zbMATH Keywords: backtracking
zbMATH Keywords: pressure stabilized Petrov-Galerkin finite element formulation
zbMATH Keywords: large-scale three-dimensional flow simulations
describes a project that uses: MPSalsa
describes a project that uses: AztecOO
describes a project that uses: NITSOL
describes a project that uses: Chaco
describes a project that uses: Aztec
MaRDI profile type: Publication
full work available at URL: jcph.1997.5798
OpenAlex ID: W2136889760
cites work: Natural convection in a square cavity: A comparison exercise
cites work: Inexact Newton Methods
cites work: Q3702408
cites work: Globally Convergent Inexact Newton Methods
cites work: Choosing the Forcing Terms in an Inexact Newton Method
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
cites work: Q1091210
cites work: An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
cites work: NITSOL: A Newton Iterative Solver for Nonlinear Systems
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Efficient parallel computation of unstructured finite element reacting flow solutions
cites work: Driven cavity flows by efficient numerical techniques
cites work: Stabilized Finite Element Formulations for Incompressible Flow Computations
DOI: 10.1006/JCPH.1997.5798
description: scientific article; zbMATH DE number 1100747