In this contribution, we consider the Dynamic Mode Decomposition (DMD) framework as a purely data-driven tool to investigate both standard and actuated turbulent channel databases via Direct Numerical Simulation (DNS). Both databases have comparable Reynolds number Re ≈ 3600. The actuation consists in the imposition of a streamwise-varying sinusoidal spanwise velocity at the wall, known to lead to drag reduction. Specifically, a composite-based DMD analysis is conducted, with hybrid snapshots composed by skin friction and Reynolds stresses. A small number of dynamic modes (∼3–9) are found to recover accurately the DNS Reynolds stresses near walls. Moreover, the DMD modes retrieved propagate at a range of phase speeds consistent with those reported in the literature. We conclude that composite DMD is an attractive, purely data-driven tool to study turbulent flows. On the one hand, DMD is helpful to identify features associated with the drag, and on the other hand, it reveals the changes in flow structure when actuation is imposed.
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November 2019
Research Article|
November 07 2019
A composite dynamic mode decomposition analysis of turbulent channel flows
J. Garicano-Mena
;
J. Garicano-Mena
a)
Departmento de Matemática Aplicada a la Ingeniería Aeroespacial, ETSI Aeronáutica y del Espacio - Universidad Politécnica de Madrid
, Plaza del Cardenal Cisneros, 3, E 28040 Madrid, Spain
a)Author to whom correspondence should be addressed: jesus.garicano.mena@upm.es
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B. Li;
B. Li
b)
Departmento de Matemática Aplicada a la Ingeniería Aeroespacial, ETSI Aeronáutica y del Espacio - Universidad Politécnica de Madrid
, Plaza del Cardenal Cisneros, 3, E 28040 Madrid, Spain
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E. Ferrer
;
E. Ferrer
Departmento de Matemática Aplicada a la Ingeniería Aeroespacial, ETSI Aeronáutica y del Espacio - Universidad Politécnica de Madrid
, Plaza del Cardenal Cisneros, 3, E 28040 Madrid, Spain
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E. Valero
E. Valero
Departmento de Matemática Aplicada a la Ingeniería Aeroespacial, ETSI Aeronáutica y del Espacio - Universidad Politécnica de Madrid
, Plaza del Cardenal Cisneros, 3, E 28040 Madrid, Spain
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a)Author to whom correspondence should be addressed: jesus.garicano.mena@upm.es
b)
Also at: Center for Engineering and Scientific Computation, School of Aeronautics and Astronautics, Zhejiang University, Zhejiang 310027, China.
Physics of Fluids 31, 115102 (2019)
Article history
Received:
July 10 2019
Accepted:
October 19 2019
Citation
J. Garicano-Mena, B. Li, E. Ferrer, E. Valero; A composite dynamic mode decomposition analysis of turbulent channel flows. Physics of Fluids 1 November 2019; 31 (11): 115102. https://doi.org/10.1063/1.5119342
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