Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows
Type
ArticleKAUST Department
Fluid and Plasma Simulation Group (FPS)Mechanical Engineering Program
Physical Science and Engineering (PSE) Division
Date
2019-02-22Online Publication Date
2019-02-22Print Publication Date
2018-11Permanent link to this record
http://hdl.handle.net/10754/631605
Metadata
Show full item recordAbstract
Two well-known turbulence models to describe the energy spectrum in the inertial and dissipative ranges simultaneously are by Pao (1965) and Pope (2000). In this paper, we compute energy spectrum E(k) and energy flux Π(k) using direct numerical simulations on grids up to 40963, and show consistency between the numerical results and predictions by the aforementioned models for turbulence flows. We also consider the laminar flow in which viscosity dominates over nonlinearity. For this case we suggest a modified model that predicts E(k) ~ k−1 exp(−k) and Π(k) ~ k exp(−k) in dissipation range of scales and verify it using numerical simulations. We emphasize the difference revealing local energy transfer for the turbulent flows and nonlocal one for the laminar flows at low Reynolds number.Citation
Verma MK, Kumar A, Kumar P, Barman S, Chatterjee AG, et al. (2018) Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows. Fluid Dynamics 53: 862–873. Available: http://dx.doi.org/10.1134/s0015462818050166.Sponsors
We thank Mohammad Anas for a valuable feedback on ¯kd. Our numerical simulations were performed on Cray XC40 Shaheen II at KAUST supercomputing laboratory, Saudi Arabia and Chaos cluster of IIT Kanpur. This work was supported by the research grants PLANEX/PHY/2015239 from Indian Space Research Organisation India, INT/RUS/RSF/P-03 by the Department of Science and Technology India, and RSF-16-41-02012 by Russian Science Foundation for the Indo-Russian project.Publisher
Pleiades Publishing LtdJournal
Fluid DynamicsarXiv
1705.04917Additional Links
https://link.springer.com/article/10.1134%2FS0015462818050166http://arxiv.org/pdf/1705.04917
ae974a485f413a2113503eed53cd6c53
10.1134/s0015462818050166