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 Publication | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION |
2018 | |
Volume | 39Issue:1Pages:21-30 |
ISSN | 0253-4827 |
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. |
Keyword | mesoscopic modelling lattice Boltzmann method (LBM) isotropic turbulent flow structure function intermittency high-order statistics self-similarity |
DOI | 10.1007/s10483-018-2254-9 |
URL | 查看原文 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000419010600003 |
WOS Keyword | FULLY-DEVELOPED TURBULENCE ; EXTENDED SELF-SIMILARITY ; HOMOGENEOUS TURBULENCE ; REYNOLDS-NUMBER ; REYNOLDS-NUMBER ; CHANNEL FLOW ; 3 DIMENSIONS ; ACCELERATION |
WOS Research Area | Mathematics, Applied ; Mechanics |
WOS Subject | Mathematics ; Mathematics ; Mathematics ; Mathematics ; Mathematics ; Mechanics ; Mechanics ; Mechanics ; Mechanics ; Mechanics |
Funding Organization | Science 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 |
Ranking | 1 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/77889 |
Collection | 非线性力学国家重点实验室 |
Affiliation | 1.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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