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Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows
Jin GD(晋国栋); Wang SZ(王士召); Wang Y; He GW(何国威)
Source PublicationAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
2018
Volume39Issue:1Pages:21-30
ISSN0253-4827
Abstract

The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation-time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high-order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investigated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This validation provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows.;The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation-time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high-order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investigated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This validation provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows.;The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation-time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high-order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investigated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This validation provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows.;The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation-time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high-order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investigated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This validation provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows.;The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation-time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high-order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investigated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This validation provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows.

Keywordmesoscopic modelling lattice Boltzmann method (LBM) isotropic turbulent flow structure function intermittency high-order statistics self-similarity
DOI10.1007/s10483-018-2254-9
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000419010600003
WOS KeywordFULLY-DEVELOPED TURBULENCE ; EXTENDED SELF-SIMILARITY ; HOMOGENEOUS TURBULENCE ; REYNOLDS-NUMBER ; REYNOLDS-NUMBER ; CHANNEL FLOW ; 3 DIMENSIONS ; ACCELERATION
WOS Research AreaMathematics, Applied ; Mechanics
WOS SubjectMathematics ; Mathematics ; Mathematics ; Mathematics ; Mathematics ; Mechanics ; Mechanics ; Mechanics ; Mechanics ; Mechanics
Funding OrganizationScience Challenge Program [TZ2016001] ; National Natural Science Foundation of China [11472277, 11572331, 11232011, 11772337] ; Strategic Priority Research Program ; Chinese Academy of Sciences (CAS) [XDB22040104] ; Key Research Program of Frontier Sciences, CAS [QYZDJ-SSW-SYS002] ; National Basic Research Program of China (973 Program) [2013CB834100]
Classification二类/Q1
Ranking1
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77889
Collection非线性力学国家重点实验室
Affiliation1.Chinese Acad Sci, Inst Mech, Stake Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Jin GD,Wang SZ,Wang Y,et al. Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2018,39,1,:21-30.
APA Jin GD,Wang SZ,Wang Y,&He GW.(2018).Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,39(1),21-30.
MLA Jin GD,et al."Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 39.1(2018):21-30.
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