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Effect of pressure on joint cascade of kinetic energy and helicity in compressible helical turbulence
Yan Z(闫政)1,2; Li XL(李新亮)1,2; Wang JC(汪建春)3; Yu ZP(于长平)1,2
Source PublicationPHYSICAL REVIEW E
2019-03-27
Volume99Issue:3Pages:11
ISSN2470-0045
Abstract

Direct numerical simulations of three-dimensional compressible helical turbulence are carried out at a grid resolution of 1024(3) to investigate the effect of pressure, which is important for the joint cascade of kinetic energy and helicity in compressible helical turbulence. The principal finding is that the pressure term of the helicity equation [defined as Phi(H) = p partial derivative(i)(omega(i)/rho)] has a smaller effect on the helicity cascade in the aspect of amplitude and a smaller effective range, which leads to a longer inertial subrange of the helicity cascade, in contrast to a kinetic energy cascade. In addition, we also find that the effective range of Phi(H) is concentrated only in large scales statistically, which is similar to the effect of the pressure term of the kinetic energy equation (defined as Phi(E) = p partial derivative(i)u(i)). From the overall sense of the effect of Phi(E) and Phi(H) on the kinetic energy and the helicity, respectively, both of them play a role of dissipation especially in the compression region. We propose that high enough helicity can affect the process of energy transformation between kinetic energy and internal energy, which means that the absolute local helicity hinders the process of kinetic energy transferring to internal energy, and promotes internal energy transferring to kinetic energy. In addition,Phi(H) plays a source role both for positive and negative helicity. We also study the mechanism of cancellations between compression and rarefaction regions, and we find that the impact of a shocklet on the helicity cascade can be ignored statistically.

DOI10.1103/PhysRevE.99.033114
Indexed BySCI ; EI
Language英语
WOS IDWOS:000462924200009
WOS KeywordDYNAMICS ; SCHEMES
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas ; Physics, Mathematical
Funding ProjectNational Natural Science Foundation of China (NSFC)[91852203] ; National Natural Science Foundation of China (NSFC)[11472278] ; National Key Research and Development Program of China[2016YFA0401200] ; Science Challenge Project[TZ2016001]
Funding OrganizationNational Natural Science Foundation of China (NSFC) ; National Key Research and Development Program of China ; Science Challenge Project
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/78926
Collection高温气体动力学国家重点实验室
Corresponding AuthorYu ZP(于长平)
Affiliation1.Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China;
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
3.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China
Recommended Citation
GB/T 7714
Yan Z,Li XL,Wang JC,et al. Effect of pressure on joint cascade of kinetic energy and helicity in compressible helical turbulence[J]. PHYSICAL REVIEW E,2019,99(3):11.
APA Yan Z,Li XL,Wang JC,&Yu ZP.(2019).Effect of pressure on joint cascade of kinetic energy and helicity in compressible helical turbulence.PHYSICAL REVIEW E,99(3),11.
MLA Yan Z,et al."Effect of pressure on joint cascade of kinetic energy and helicity in compressible helical turbulence".PHYSICAL REVIEW E 99.3(2019):11.
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