Construction of initial vortex-surface fields and Clebsch potentials for   flows with high-symmetry using first integrals

doi:10.1063/1.4943368

CORC > 北京大学 > 工学院

	Construction of initial vortex-surface fields and Clebsch potentials for flows with high-symmetry using first integrals
	He, Pengyu ; Yang, Yue
刊名	PHYSICS OF FLUIDS
	2016
关键词	NAVIER-STOKES EQUATIONS TAYLOR-GREEN TURBULENCE FLUID
DOI	10.1063/1.4943368
英文摘要	We report a systematic study on the construction of the explicit, general form of vortex-surface fields (VSFs) and Clebsch potentials in the initial fields with the zero helicity density and high symmetry. The construction methodology is based on finding independent first integrals of the characteristic equation of a given three-dimensional velocity-vorticity field. In particular, we derive the analytical VSFs and Clebsch potentials for the initial field with the Kida-Pelz symmetry. These analytical results can be useful for the evolution of VSFs to study vortical structures in transitional flows. Moreover, the generality of the construction method is discussed with the synthetic initial fields and the initial Taylor-Green field with multiple wavenumbers. (C) 2016 AIP Publishing LLC.; National Natural Science Foundation of China [11342011, 11472015, 11522215]; Thousand Young Talents Program of China; SCI(E); EI; ARTICLE; yyg@pku.edu.cn; 3; 28
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/437569]
专题	工学院
推荐引用方式 GB/T 7714	He, Pengyu,Yang, Yue. Construction of initial vortex-surface fields and Clebsch potentials for flows with high-symmetry using first integrals[J]. PHYSICS OF FLUIDS,2016.
APA	He, Pengyu,&Yang, Yue.(2016).Construction of initial vortex-surface fields and Clebsch potentials for flows with high-symmetry using first integrals.PHYSICS OF FLUIDS.
MLA	He, Pengyu,et al."Construction of initial vortex-surface fields and Clebsch potentials for flows with high-symmetry using first integrals".PHYSICS OF FLUIDS (2016).