TY - JOUR
T1 - On the role of helicity in complex fluid flows
AU - Shtilman, Leonid
AU - Levich, Evgeny
AU - Orszag, Steven A.
AU - Pelz, Richard B.
AU - Tsinober, Arkady
N1 - Funding Information:
regionsw ith low energyd issipation• We also note that the relationb etweent~ and V X to is galileanin varianat ndc annotb e distortedb y spuriousa dvectionef fectsa, s is possiblef or Beltrami flows in which to = flu. It is possiblet hata "large" structurew ithfl = consti s unstablea t non-chaotic, isolated(r esonanto)r bitsa ndwill breaku p along thoseo rbits\ [12\T].h rougha dvectiona ndmerging, the resultingfi eld can haves patiallyv aryingv alues of ft. Howeverh, igherr esolutionc omputationasr e requiredt o investigatteh is point further•T he result that the u and to are alignedin low dissipationre gion mustb e testedf urtherin maturefu lly-developetdu r-bulentf lows• It may be that the effecti s primarilya transitionaoln ethat is valid only in regionso f "young" turbulence• The authorsa reg ratefutl o ProfessorBs . Levich, H.K. Moffatt and V. Yakhot for usefuld iscussions. This work was supportedin part by Air Force Office of ScientificR esearchu nderC ontractF 49620-85-C-0026,t heOffice of Naval Researchu nderC ontract N00014-82-C-045a1n dby the US Departmenotf Energyg rantu nderC ontractN DE-ACO2-80ER1 0559. One of the authors(E . Levich)a cknowledgeas s up-port of a SERC grantd uringh is visit to the University of Oxford.
PY - 1985/11/25
Y1 - 1985/11/25
N2 - Results of direct numerical simulations of the Taylor-Green vortex are analysed by conditional sampling. In regions of small energy dissipation, there are tendencies for (1) velocity, u, and vorticity, ω, to be aligned and (2) vorticity and curl of vorticity, {down triangle, open} × ω, to be nearly orthogonal. The fields of dissipation, enstrophy, turbulence production, and vortex stretching exhibit a striking similarity in their spatial structure.
AB - Results of direct numerical simulations of the Taylor-Green vortex are analysed by conditional sampling. In regions of small energy dissipation, there are tendencies for (1) velocity, u, and vorticity, ω, to be aligned and (2) vorticity and curl of vorticity, {down triangle, open} × ω, to be nearly orthogonal. The fields of dissipation, enstrophy, turbulence production, and vortex stretching exhibit a striking similarity in their spatial structure.
UR - http://www.scopus.com/inward/record.url?scp=4244183851&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(85)90600-0
DO - 10.1016/0375-9601(85)90600-0
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AN - SCOPUS:4244183851
SN - 0375-9601
VL - 113
SP - 32
EP - 37
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -