Numerical studies of ``side-by-side'' and other modes for the Taylor problem in a finite annulua
type: Item
instance of: scholarly article
title: Numerical studies of ``side-by-side'' and other modes for the Taylor problem in a finite annulua
zbMATH Open document ID: 0669.76047
DOI: 10.1016/0045-7930(88)90027-8
published in: Computers and Fluids
publication date: 1988-01-01T00:00:00Z
review text: A numerical scheme for solving the Navier-Stokes equations for axisymmetric flow in a Couette apparatus is presented. It is time- dependent, and uses primitive variables with finite-differencing on a stretched, staggered grid. The model gives good agreement with the experiments. Anomalous modes have been found and are initially established by a technique in which \textit{D. G. Schaeffer}'s end-wall boundary conditions [Math. Proc. Camb. Philos. Soc. 87, 307-337 (1980; Zbl 0461.76016)] are used to set up a steady state, and then the boundary conditions are gradually changed to those of the finite-length, Taylor apparatus. When both the inner and outer walls of the annulus rotate, a new class of ``side-by-side'' modes is predicted.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4096958
zbMATH Keywords: Taylor votex problem
zbMATH Keywords: axisymmetric flow
zbMATH Keywords: Couette apparatus
zbMATH Keywords: time- dependent
zbMATH Keywords: finite-differencing
zbMATH Keywords: staggered grid
zbMATH Keywords: Taylor apparatus
author: Nicholas A. Hill
MaRDI profile type: Publication
full work available at URL: 0045-7930(88)90027-8
OpenAlex ID: W2157265525
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description: scientific article; zbMATH DE number 4096958