Abstract
Turbulent mixing layers are canonical flow in nature and engineering, and deserve comprehensive studies under various conditions using different methods. In this paper, turbulent mixing layers are investigated using large eddy simulation and dynamic mode decomposition. The accuracy of the computations is verified and validated. Standard dynamic mode decomposition is utilized to flow decomposition, reconstruction and prediction. It was found that the dominant-mode selection criterion based on mode amplitude is more suitable for turbulent mixing layer flow compared with the other three criteria based on singular value, modal energy and integral modal amplitude, respectively. For the mixing layer with random disturbance, the standard dynamic mode decomposition method could accurately reconstruct and predict the region before instability happens, but is not qualified in the regions after that, which implies that improved dynamic mode decomposition methods need to be utilized or developed for the future dynamic mode decomposition of turbulent mixing layers.
Highlights
Turbulent mixing layers are among the most important fundamental turbulent flows in nature and engineering [1,2,3]
McMullan and Garrett [4] implemented large eddy simulation (LES) to investigate the influence of inlet disturbance on the large-scale spanwise and streamwise structure of turbulent mixing layers; Tan et al [5] used LES to study the influence of splitter plate cavity on the dynamic development of turbulent mixing layer; Zhang et al [6] investigated the effect of multiple ring-like vortices on mixing in highly compressible turbulent mixing layer via direct numerical simulation (DNS); Baltzer and Livescu [7] studied the asymmetry of two different density fluids in turbulent mixing layers by DNS; Ren et al [8] analyzed the interactions of vortex, shock-wave and reaction in droplet laden supersonic turbulent mixing layer with DNS; Chen and Wang [9] found the effects of combustion mode on growth of reacting supersonic turbulent mixing layers through DNS
The results show that the first 10 modal structures are strip shape in the flow direction, and the strip structure mainly exists in the middle and rear of the flow field, which is close to the vortex position of the mixing layer flow field, indicating that the structure is closely related to the formation of vortex
Summary
Turbulent mixing layers are among the most important fundamental turbulent flows in nature and engineering [1,2,3]. McMullan and Garrett [4] implemented LES to investigate the influence of inlet disturbance on the large-scale spanwise and streamwise structure of turbulent mixing layers; Tan et al [5] used LES to study the influence of splitter plate cavity on the dynamic development of turbulent mixing layer; Zhang et al [6] investigated the effect of multiple ring-like vortices on mixing in highly compressible turbulent mixing layer via DNS; Baltzer and Livescu [7] studied the asymmetry of two different density fluids in turbulent mixing layers by DNS; Ren et al [8] analyzed the interactions of vortex, shock-wave and reaction in droplet laden supersonic turbulent mixing layer with DNS; Chen and Wang [9] found the effects of combustion mode on growth of reacting supersonic turbulent mixing layers through DNS In these studies, high-precision numerical simulations have revealed many characteristics of turbulent mixing layers, continuously advancing the research frontier of turbulent mixing layers. Large Eddy Simulation of Turbulent Mixing Layer and Dynamic Mode Decomposition
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