Optimal vorticity conditions for the node-centred finite-difference discretization of the second-order vorticity-velocity equations
type: Item
instance of: scholarly article
title: Optimal vorticity conditions for the node-centred finite-difference discretization of the second-order vorticity-velocity equations
zbMATH Open document ID: 0868.76057
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 1997-08-27T00:00:00Z
review text: The vorticity-velocity formulation of the incompressible Navier-Stokes equations is considered. It is shown that in the framework of the second-order node-centered approximations, the numerical solutions are inferior to those obtained using staggered grids velocity-vorticity and vorticity-stream function equations. To remove this drawback, the wall vorticity condition derived from the approximation of the Stokes theorem applied to each boundary cell is proposed. It is shown that second-order centered discretizations of the all types of equations can be made formally equivalent by imposing this ''optimal'' vorticity condition. Numerical experiments with the driven cavity flow validating the theoretical analysis are described.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 938019
zbMATH Keywords: stagered grid
zbMATH Keywords: wall vorticity condition
zbMATH Keywords: driven cavity flow
reviewed by: A. I. Tolstykh
MaRDI profile type: Publication
full work available at URL: jcph.1996.0169
OpenAlex ID: W2045697640
DOI: 10.1006/JCPH.1996.0169
description: scientific article; zbMATH DE number 938019