edu.ucar.opensky::technotes:264 UCAR/NCAR - Library OpenSky Support PO Box 3000 Boulder CO 80307-3000 opensky@ucar.edu http://opensky.ucar.edu/ homepage pointOfContact 2025-12-26T17:27:20.917950 ISO 19115-2 Geographic Information - Metadata - Part 2: Extensions for Imagery and Gridded Data ISO 19115-2:2009(E) https://n2t.org/ark:/85065/d7wm1csn A Method for the Calculation of Invariant Manifolds in Hydrodynamics Stability Problems 1981-01-01T00:00:00Z publication https://n2t.org/ark:/85065/d7wm1csn https://doi.org/10.5065/D6N58J97 Richtmyer, R. author UCAR/NCAR - Library publisher The method developed by the authors referred to in the Preface has been improved in a number of minor respects, to make possible calculations at Taylor numbers up to about 106, for invariant manifolds up to dimension 14, and to suppress axial flow. The method was programmed for the Cray-1 computer and applied to two series of calculations, one for a narrow gap between the cylinders and one for a wide gap. The calculations exhibited the first few bifurcations and the corresponding modes of motion and determined the stability of those modes. No aperiodic motions were found. There is evidence for an additional subcritical bifurcation from the wavy vortex mode at a Taylor number �� 1,148 x 106 in the wide gap problem. Orbit calculations at 1.15 x 106 failed to find further attractors and indicated an explosive transition to regions of the configuration space beyond the applicability of the present method. UCAR/NCAR - Library OpenSky Support PO Box 3000 Boulder CO 80307-3000 opensky@ucar.edu http://opensky.ucar.edu/ homepage pointOfContact PDF Text theme Resource Type 2016-01-01T00:00:00Z publication Turbulence theme U.S. National Aeronautics and Space Administration Global Change Master Directory GCMD 2021-09-17 revision 11.2 NASA Global Change Master Directory originator Valids List: Science and Services Keywords Copyright Author(s). This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. None eng geoscientificInformation