1999
DOI: 10.1002/zamm.19990791329
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Identification and Analysis of Nonlinear Transition Scenarios using NOLOT/PSE

Abstract: Laminar‐turbulent transition of quasi‐three‐dimensional boundary‐layer flows is investigated by nonlinear nonlocal instability theory based on parabolized stability equations (PSE). A strong TS‐CF interaction scenario is described, which leads to a rapid rise in skin‐friction coefficient indicating imminent breakdown of the laminar flow. The GF‐CF interaction studies reproduce amplitude saturation observed in experiment, but do not provide an explanation for the final breakdown in crossflow‐dominated boundary … Show more

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Cited by 3 publications
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“…The respective theoretical concepts are referred to as biglobal, triglobal, and parabolized stability equation three-dimensional (PSE-3D) analyses. Table 1 classifies and refines the different kinds of linear stability theory, demarcating the boundaries between local analysis based on variants of the Orr-Sommerfeld equation (OSE), nonlocal analysis based on the standard PSEs [26][27][28], which represent a generalization of the parallel-flow LST for flows with a mild variation on the streamwise direction, and the three aforementioned versions of global linear theory; symbols appearing will be defined shortly.…”
Section: Theoretical Considerationsmentioning
confidence: 99%
“…The respective theoretical concepts are referred to as biglobal, triglobal, and parabolized stability equation three-dimensional (PSE-3D) analyses. Table 1 classifies and refines the different kinds of linear stability theory, demarcating the boundaries between local analysis based on variants of the Orr-Sommerfeld equation (OSE), nonlocal analysis based on the standard PSEs [26][27][28], which represent a generalization of the parallel-flow LST for flows with a mild variation on the streamwise direction, and the three aforementioned versions of global linear theory; symbols appearing will be defined shortly.…”
Section: Theoretical Considerationsmentioning
confidence: 99%
“…In both cases the overall growth n-factors are very small ͑corresponding to only a factor of 10 growth in amplitude͒ even though the second modes are locally the most unstable modes. Nonparallel effects are important in the current problem and simulations have therefore been made using the parabolized stability equations ͑see Herbert, 10 Hein et al 11 ͒. The equation set in this case is given by…”
Section: -11mentioning
confidence: 99%
“…The parabolized stability equations ͑PSE; see Herbert, 10 Hein et al 11 ͒ approach improves on the e n method ͑Arnal and Casalis, 12 Stock 13 ͒ by including nonparallel terms and allowing for the streamwise evolution of disturbance shape functions. The method is applicable to convectively unstable flow but, although widely used for transition prediction on wings, it does not appear to have been applied to SBLI until now.…”
Section: Introductionmentioning
confidence: 99%