We present a novel method for the determination of N-factors in cross-flow transition scenarios. The method considers numerical simulations, in which a turbulent model is applied downstream from a predetermined point and solves a laminar flow upstream from this point. The solution is postprocessed using higher order dynamic mode decomposition to extract the leading spatial mode in several small sections along the streamwise direction. The spatial evolution of the amplitude of this mode will determine the N-factor. The results presented are compared with experimental measurements and linear stability theory, showing the good performance of this novel method, which does not assume parallel flow assumptions, is automatic and computationally efficient.
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September 2019
Research Article|
September 03 2019
An alternative method to study cross-flow instabilities based on high order dynamic mode decomposition
Soledad Le Clainche
;
Soledad Le Clainche
a)
1
School of Aeronautics, Universidad Politécnica de Madrid
, 28040 Madrid, Spain
a)Author to whom correspondence should be addressed: soledad.leclainche@upm.es
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Zhong-Hua Han
;
Zhong-Hua Han
2
School of Aeronautics, Northwestern Polytechnical University
, Xian 710072, People’s Republic of China
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Esteban Ferrer
Esteban Ferrer
1
School of Aeronautics, Universidad Politécnica de Madrid
, 28040 Madrid, Spain
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a)Author to whom correspondence should be addressed: soledad.leclainche@upm.es
Physics of Fluids 31, 094101 (2019)
Article history
Received:
May 23 2019
Accepted:
August 09 2019
Citation
Soledad Le Clainche, Zhong-Hua Han, Esteban Ferrer; An alternative method to study cross-flow instabilities based on high order dynamic mode decomposition. Physics of Fluids 1 September 2019; 31 (9): 094101. https://doi.org/10.1063/1.5110697
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