Energy transfers and magnetic energy growth in small-scale dynamo

Handle URI:
http://hdl.handle.net/10754/563138
Title:
Energy transfers and magnetic energy growth in small-scale dynamo
Authors:
Kumar, Rohit Raj; Verma, Mahendra K.; Samtaney, Ravi ( 0000-0002-4702-6473 )
Abstract:
In this letter we investigate the dynamics of magnetic energy growth in small-scale dynamo by studying energy transfers, mainly energy fluxes and shell-to-shell energy transfers. We perform dynamo simulations for the magnetic Prandtl number Pm = 20 on 10243 grid using the pseudospectral method. We demonstrate that the magnetic energy growth is caused by nonlocal energy transfers from the large-scale or forcing-scale velocity field to small-scale magnetic field. The peak of these energy transfers moves towards lower wave numbers as dynamo evolves, which is the reason why the integral scale of the magnetic field increases with time. The energy transfers U2U (velocity to velocity) and B2B (magnetic to magnetic) are forward and local. Copyright © EPLA, 2013.
KAUST Department:
Mechanical Engineering Program; Physical Sciences and Engineering (PSE) Division; Clean Combustion Research Center; Fluid and Plasma Simulation Group (FPS)
Publisher:
IOP Publishing
Journal:
EPL (Europhysics Letters)
Issue Date:
1-Dec-2013
DOI:
10.1209/0295-5075/104/54001
ARXIV:
arXiv:1307.7465
Type:
Article
ISSN:
02955075
Sponsors:
We thank K. SUBRAMANIAN for valuable discussions and comments, and RAKESH YADAV for performing the initial set of numerical simulations. We are grateful to the anonymous referees for comments and suggestions that helped us improve the manuscript. Our numerical simulations were performed on the IBM Blue Gene P "Shaheen" at KAUST supercomputing laboratory, Saudi Arabia. This work was supported through the Swarna-jayanti fellowship to MKV from Department of Science and Technology, India. RS was supported through baseline funding at KAUST.
Additional Links:
http://arxiv.org/abs/arXiv:1307.7465v3
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Clean Combustion Research Center

Full metadata record

DC FieldValue Language
dc.contributor.authorKumar, Rohit Rajen
dc.contributor.authorVerma, Mahendra K.en
dc.contributor.authorSamtaney, Ravien
dc.date.accessioned2015-08-03T11:36:40Zen
dc.date.available2015-08-03T11:36:40Zen
dc.date.issued2013-12-01en
dc.identifier.issn02955075en
dc.identifier.doi10.1209/0295-5075/104/54001en
dc.identifier.urihttp://hdl.handle.net/10754/563138en
dc.description.abstractIn this letter we investigate the dynamics of magnetic energy growth in small-scale dynamo by studying energy transfers, mainly energy fluxes and shell-to-shell energy transfers. We perform dynamo simulations for the magnetic Prandtl number Pm = 20 on 10243 grid using the pseudospectral method. We demonstrate that the magnetic energy growth is caused by nonlocal energy transfers from the large-scale or forcing-scale velocity field to small-scale magnetic field. The peak of these energy transfers moves towards lower wave numbers as dynamo evolves, which is the reason why the integral scale of the magnetic field increases with time. The energy transfers U2U (velocity to velocity) and B2B (magnetic to magnetic) are forward and local. Copyright © EPLA, 2013.en
dc.description.sponsorshipWe thank K. SUBRAMANIAN for valuable discussions and comments, and RAKESH YADAV for performing the initial set of numerical simulations. We are grateful to the anonymous referees for comments and suggestions that helped us improve the manuscript. Our numerical simulations were performed on the IBM Blue Gene P "Shaheen" at KAUST supercomputing laboratory, Saudi Arabia. This work was supported through the Swarna-jayanti fellowship to MKV from Department of Science and Technology, India. RS was supported through baseline funding at KAUST.en
dc.publisherIOP Publishingen
dc.relation.urlhttp://arxiv.org/abs/arXiv:1307.7465v3en
dc.titleEnergy transfers and magnetic energy growth in small-scale dynamoen
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentClean Combustion Research Centeren
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)en
dc.identifier.journalEPL (Europhysics Letters)en
dc.contributor.institutionDepartment of Physics, Indian Institute of Technology, Kanpur 208016, Indiaen
dc.identifier.arxividarXiv:1307.7465en
kaust.authorSamtaney, Ravien
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