Numerical study of bifurcation solutions of spherical Taylor-Couette flow
type: Item
instance of: scholarly article
title: Numerical study of bifurcation solutions of spherical Taylor-Couette flow
zbMATH Open document ID: 0854.76070
author: Li Yuan
author: Dexun Fu
author: Yanwen Ma
published in: Science in China. Series A
publication date: 1997-01-27T00:00:00Z
review text: The steady bifurcation flows in a spherical gap with rotating inner and stationary outer spheres are simulated numerically by solving steady axisymmetric incompressible Navier-Stokes equations using a finite difference method. The simulation shows that there exist two steady stable flows with 1 or 2 vortices per hemisphere for \(775 \leq \text{Re} \leq 1220\) and three steady stable flows with 0, 1, or 2 vortices for \(1220 < \text{Re} \leq 1500\). The mechanism of development of a saddle point in the meridional plane at higher Reynolds numbers and its role in the formation of two-vortex flow are analyzed.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76E05
zbMATH DE Number: 908299
zbMATH Keywords: symmetry breaking
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: saddle point
zbMATH Keywords: two-vortex flow
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 908299