Year: 2018
Author: Lucas Lestandi, Swagata Bhaumik, Tapan K Sengupta, G. R. Krishna Chand Avatar, Mejdi Azaiez
Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 150–176
Abstract
Flow inside a lid-driven cavity (LDC) is studied here to elucidate bifurcation sequences of the flow at super-critical Reynolds numbers $(Re_{cr1})$ with the help of analyzing the time series at most energetic points in the flow domain. The implication of $Re_{cr1}$ in the context of direct simulation of Navier-Stokes equation is presented here for LDC, with or without explicit excitation inside the LDC. This is aided further by performing detailed enstrophy-based proper orthogonal decomposition (POD) of the flow field. The flow has been computed by an accurate numerical method for two different uniform grids. POD of results of these two grids help us understand the receptivity aspects of the flow field, which give rise to the computed bifurcation sequences by understanding the similarity and differences of these two sets of computations. We show that POD modes help one understand the primary and secondary instabilities noted during the bifurcation sequences.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v51n2.18.03
Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 150–176
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Lid driven cavity POD POD modes analysis DNS multiple Hopf bifurcation polygonal core vortex.