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Stability of two‐dimensional flow in the two‐sided lid‐driven cavity
Author(s) -
Albensoeder S.,
Kuhlmann H.C.,
Rath H.J.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<284::aid-pamm284>3.0.co;2-#
Subject(s) - flow (mathematics) , stability (learning theory) , mechanics , computer science , physics , machine learning
Abstract The one‐sided lid‐driven cavity has been studied quite extensively as benchmark problem in CFD. In the present study we discus the stability of two‐dimensional flows with respect to three‐dimensional perturbations of a more general lid‐driven cavity with two moving walls facing each other. We show that, in addition to the known elliptic‐instability branch around aspect ratio 1.5, another branch of the elliptic instability exists for aspect ratios smaller unity. For high and around unit aspect ratio the instabilities are found to be of centrifugal and quadripolar type, respectively. The structure of critical modes as well as the instability mechanism are addressed. Additionally, the numerical results are compared to experimental results of [5].