An adaptive multigrid technique for the incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: An adaptive multigrid technique for the incompressible Navier-Stokes equations
zbMATH Open document ID: 0665.76034
DOI: 10.1016/0021-9991(89)90037-5
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: An automatic adaptive refinement technique has been coupled to the multigrid approach to produce an efficient and stable solution strategy for solving the steady-state incompressible Navier-Stokes equations. Solutions have been obtained for the driven cavity and flow over a backward-facing step, for Reynolds numbers up to 5000 and 800, respectively. The refinement criterion is based on the local truncation error. The solution error is monitored and automatic refinement can continue until it is reduced to a satisfactory level. For driven cavity flow at \(Re=1000\), the adaptive refinement approach reduced the computer memory and CPU time to 20 and 40 \% of the requirements of the ``pure'' multigrid method. The primitive-variable formulation of the Navier-Stokes equations is used so the method can be extended easily to three dimensions. Applications to other nonlinear elliptic problems is equally possible.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4089133
zbMATH Keywords: automatic adaptive refinement technique
zbMATH Keywords: multigrid approach
zbMATH Keywords: stable solution
zbMATH Keywords: steady-state incompressible Navier-Stokes equations
zbMATH Keywords: flow over a backward-facing step
zbMATH Keywords: solution error
zbMATH Keywords: driven cavity flow
author: Mark C. Thompson
author: Joel H. Ferziger
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90037-5
OpenAlex ID: W2098174699
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description: scientific article; zbMATH DE number 4089133