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dc.contributor.authorVerma, M. K.
dc.contributor.authorKumar, A.
dc.contributor.authorKumar, P.
dc.contributor.authorBarman, S.
dc.contributor.authorChatterjee, A. G.
dc.contributor.authorSamtaney, Ravi
dc.contributor.authorStepanov, R. A.
dc.date.accessioned2019-03-14T14:14:58Z
dc.date.available2019-03-14T14:14:58Z
dc.date.issued2019-02-22
dc.identifier.citationVerma 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.
dc.identifier.issn0015-4628
dc.identifier.issn1573-8507
dc.identifier.doi10.1134/s0015462818050166
dc.identifier.urihttp://hdl.handle.net/10754/631605
dc.description.abstractTwo 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.
dc.description.sponsorshipWe 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.
dc.publisherPleiades Publishing Ltd
dc.relation.urlhttps://link.springer.com/article/10.1134%2FS0015462818050166
dc.relation.urlhttp://arxiv.org/pdf/1705.04917
dc.rightsArchived with thanks to Pleiades Publishing Ltd
dc.subjecthydrodynamic turbulence
dc.subjectturbulence modeling
dc.subjectdirect numerical simulation
dc.titleEnergy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows
dc.typeArticle
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalFluid Dynamics
dc.eprint.versionPre-print
dc.contributor.institutionDepartment of Physics, Indian Institute of Technology, Kanpur, India
dc.contributor.institutionInstitute of Continuous Media Mechanics, Perm, Russia
dc.identifier.arxivid1705.04917
kaust.personSamtaney, Ravi
refterms.dateFOA2019-12-12T07:21:20Z
dc.date.published-online2019-02-22
dc.date.published-print2018-11


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