Ma, Xia; Karniadakis, George Em A low-dimensional model for simulating three-dimensional cylinder flow. (English) Zbl 1001.76043 J. Fluid Mech. 458, 181-190 (2002). Summary: We investigate the stability and dynamics of three-dimensional limit-cycle states in a flow past circular cylinder using low-dimensional modelling. High-resolution direct numerical simulations are employed to obtain flow snapshots from which the most energetic modes are extracted using proper orthogonal decomposition. We show that the limit cycle is reproduced very accurately with only twenty three-dimensional modes. The addition of two-dimensional modes to Karhunen-Loeve expansion basis improves the ability of the model to capture three-dimensional bifurcations, including the discontinuity in Strouhal number discovered experimentally. Cited in 72 Documents MSC: 76F20 Dynamical systems approach to turbulence 76D25 Wakes and jets 76E99 Hydrodynamic stability Keywords:low-dimensional model; stability; flow past circular cylinder; proper orthogonal decomposition; limit cycle; Karhunen-Loeve expansion basis; three-dimensional bifurcations; discontinuity in Strouhal number PDFBibTeX XMLCite \textit{X. Ma} and \textit{G. E. Karniadakis}, J. Fluid Mech. 458, 181--190 (2002; Zbl 1001.76043) Full Text: DOI