Space-time correlations of passive scalar in Kraichnan model

doi:10.1016/j.taml.2023.100470

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	Space-time correlations of passive scalar in Kraichnan model
	Yang PF(杨平凡); Pan, Liubin 2; He GW(何国威)
发表期刊	THEORETICAL AND APPLIED MECHANICS LETTERS
	2023-09
卷号	13 期号:5 页码:100470
ISSN	2095-0349
摘要	We consider the two-point, two-time (space-time) correlation of passive scalar R ( r, x) in the Kraichnan model under the assumption of homogeneity and isotropy. Using the fine-gird PDF method, we find thatR ( r, x) satisfies a diffusion equation with constant diffusion coefficient determined by velocity variance and molecular diffusion. Its solution can be expressed in terms of the two-point, one time correlation of passive scalar, i.e., R ( r, 0) . Moreover, the decorrelation of R ( k, x), which is the Fourier transform ofR ( r, x), is determined by R ( k, 0) and a diffusion kernal.
关键词	Space-time correlation Passive scalar Kraichnan model
DOI	10.1016/j.taml.2023.100470
收录类别	CSCD
语种	英语
WOS研究方向	Mechanics
项目资助者	Natural Science Foundation of China (NSFC) Basic Science Center Program [11988102]
论文分区	二类
力学所作者排名	1
RpAuthor	He, GW (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. ; He, GW (corresponding author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/93687
专题	非线性力学国家重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai 519082, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Yang PF,Pan, Liubin,He GW. Space-time correlations of passive scalar in Kraichnan model[J]. THEORETICAL AND APPLIED MECHANICS LETTERS,2023,13,5,:100470.
APA	杨平凡,Pan, Liubin,&何国威.(2023).Space-time correlations of passive scalar in Kraichnan model.THEORETICAL AND APPLIED MECHANICS LETTERS,13(5),100470.
MLA	杨平凡,et al."Space-time correlations of passive scalar in Kraichnan model".THEORETICAL AND APPLIED MECHANICS LETTERS 13.5(2023):100470.

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