Numerical studies of ``side-by-side'' and other modes for the Taylor problem in a finite annulua
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.
scientific article; zbMATH DE number 4096958
scientific article