TY - JOUR
T1 - POD Applied to Numerical Study of Unsteady Flow Inside Lid-Driven Cavity
AU - Lestandi , Lucas
AU - Bhaumik , Swagata
AU - Sengupta , Tapan K
AU - Chand Avatar , G. R. Krishna
AU - Azaïez , Mejdi
JO - Journal of Mathematical Study
VL - 2
SP - 150
EP - 176
PY - 2018
DA - 2018/06
SN - 51
DO - http://doi.org/10.4208/jms.v51n2.18.03
UR - https://global-sci.org/intro/article_detail/jms/12465.html
KW - Lid driven cavity, POD, POD modes analysis, DNS, multiple Hopf bifurcation, polygonal core vortex.
AB - <p style="text-align: justify;">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.</p>