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A low-dimensional model for simulating three-dimensional cylinder flow

Published online by Cambridge University Press:  23 May 2002

XIA MA  and
GEORGE EM KARNIADAKIS
XIA MA
Affiliation:
Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
GEORGE EM KARNIADAKIS
Affiliation:
Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
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Abstract

We investigate the stability and dynamics of three-dimensional limit-cycle states in flow past a 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 the Karhunen–Loeve expansion basis improves the ability of the model to capture the three-dimensional bifurcation, including the discontinuity in the Strouhal number discovered experimentally.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 458 , 10 May 2002 , pp. 181 - 190
Copyright
© 2002 Cambridge University Press

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