# Three-dimensional Floquet stability analysis of the wake of a circular cylinder

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3,206 citations

1,110 citations

### Cites methods from "Three-dimensional Floquet stability..."

...We note that time-periodic flow can also be utilized as the base flow [148]; as we will see in the first illustrative example below [149]....

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948 citations

### Cites background from "Three-dimensional Floquet stability..."

...Our review of the literature has identified a number of authors who have contributed to the verification of CFD solutions [11, 28, 33, 34, 3942, 45, 47, 49, 57, 60, 65, 74, 87-89, 92, 97, 110, 116, 117, 120, 127, 129-131, 137-139, 141, 142, 144, 147, 165, 171, 177, 209, 218, 219, 221, 228, 229, 273, 274, 277, 278, 281, 298, 306-309, 318, 325, 327, 329, 333-337, 340, 347, 350, 351, 353]....

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...Examples of benchmark PDE solutions in fluid dynamics are the following: incompressible laminar flow over a semi-infinite flat plate [87, 329, 347]; incompressible laminar flow over a parabolic plate [49, 88, 92]; incompressible laminar flow in a square cavity driven by a moving wall [34 , 130, 131, 141, 147, 228, 298, 318]; laminar nat convection in a square cavity [89, 165], incompressible laminar flow over an infinite-length circular cylinder [28, 33, 177, 218]; and incompressible laminar flow over a backward-facing step, with and without heat transfer [40, 127, 138, 142]....

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939 citations

### Cites background or methods from "Three-dimensional Floquet stability..."

...The constants have been adjusted towards the results that were considered the most reliable in terms in terms of accuracy and large enough calculation domain sizes, in particular those of Rosenfeld (1994), Beaudan and Moin (1994), Barkley and Henderson (1996), He and Doolen (1997), Park et al....

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...The present measurements indicated a spanwise correlation length of about 7 diameters at the lowest attained Reynolds number, Re 1⁄4 230; which is about twice this wavelength (Barkley and Henderson, 1996). As shown in Norberg (1994), there is, within ReC165 to ReC230; a relatively weak influence of the necessary aspect ratio to obtain independent global results....

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...The spanwise correlation length found at Re 1⁄4 0:24 10 is of the same order as twice the wavelength of the most unstable mode A instability (Barkley and Henderson, 1996)....

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...Strouhal number versus Reynolds number: X; Bearman (1969); Norberg (1987a, 1994): J; laminar shedding; &; wake transition; n; turbulent shedding; - - -, Barkley and Henderson (1996), 2-D; ; Kwon and Choi (1996), 2-D; þ; Posdziech and Grundmann (2000), 2-D; ——, formulas in Appendix A....

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...The present measurements indicated a spanwise correlation length of about 7 diameters at the lowest attained Reynolds number, Re 1⁄4 230; which is about twice this wavelength (Barkley and Henderson, 1996)....

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725 citations

### Cites background from "Three-dimensional Floquet stability..."

...For the cylinder wake, the primary and secondary instabilities were studied by Jackson (1987), Zebib (1987), Noack & Eckelmann (1994), and Barkley & Henderson (1996), among others....

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##### References

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