Vortex separation and fine structure dynamics
type: Item
instance of: scholarly article
title: Vortex separation and fine structure dynamics
zbMATH Open document ID: 0621.76020
DOI: 10.1016/0168-9274(87)90010-9
published in: Applied Numerical Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The author presents several numerical experiments, validating the analytical theory of stationary corner solutions for the Navier-Stokes equations with low Reynolds number Stokes linearization. These are then used to discuss unsteady vortex separation in the dynamics of two- dimensional driven cavity flow. The paper also contains a discussion on the fine structure dynamics at higher Reynolds numbers.
reviewed by: Jacob Burbea
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4007932
zbMATH Keywords: corner eddies
zbMATH Keywords: stability
zbMATH Keywords: analytical theory
zbMATH Keywords: stationary corner solutions
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Stokes linearization
zbMATH Keywords: unsteady vortex separation
zbMATH Keywords: two-dimensional driven cavity flow
zbMATH Keywords: fine structure dynamics
author: Karl Gustafson
MaRDI profile type: Publication
full work available at URL: 0168-9274(87)90010-9
OpenAlex ID: W1970587861
cites work: Q5791953
cites work: Viscous and resistive eddies near a sharp corner
cites work: THE USE OF THE MELLIN TRANSFORM IN FINDING THE STRESS DISTRIBUTION IN AN INFINITE WEDGE
cites work: Effects of inertia in forced corner flows
cites work: The effects of inertia on the structure of viscous corner eddies
cites work: Q3689590
cites work: Q3470840
cites work: Nature of viscous flows near sharp corners
cites work: Q3661107
cites work: Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional Cavity
cites work: Numerical study of viscous flow in a cavity
cites work: On the convergence of numerical solutions for 2-D flows in a cavity at large Re
cites work: A numerical study of the two-dimensional Navier-Stokes equations in vorticity-velocity variables
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
cites work: Driven cavity flows by efficient numerical techniques
cites work: A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 2: Applications
cites work: Vortex dynamics of cavity flows
cites work: Multigrid calculation of subvortices
cites work: Cavity flow dynamics at higher Reynolds number and higher aspect ratio
cites work: Q3494127
cites work: A new method for computing solenoidal vector fields on arbitrary regions
description: scientific article; zbMATH DE number 4007932