Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method

Peng，Cheng1; Wu，Xinnan2; Wang，Lian Ping3,4; Ji，Li1

2023-09-15

10.1016/j.camwa.2023.06.031

Computers and Mathematics with Applications   Impact Factor & Quartile

0898-1221

1873-7668

Homogeneous shear turbulence subject to a shear periodic boundary condition is the simplest form of sustainable turbulent flows widely investigated to enhance the understanding of turbulence. Although the lattice Boltzmann method (LBM) has been successfully used to simulate many turbulent flows, direct numerical simulation of homogeneous shear turbulence has yet to be reported. This work proposes a scheme that constructs proper distribution functions on ghost layers to enforce the shear periodic boundary. The validation tests confirm that this scheme preserves the second-order accuracy of LBM. The proposed scheme is then employed to conduct the direct numerical simulation of homogeneous shear turbulence. The results of turbulence statistics show reasonable agreement with the benchmark results, demonstrating the capability of LBM as a tool for turbulent flow studies.

Direct numerical simulations Homogeneous shear turbulence Lattice Boltzmann method Shear periodic boundary

SCI

English

Others

National Natural Science Foundation of China[11988102];National Natural Science Foundation of China[12102232];Natural Science Foundation of Shandong Province[2022HWYQ-023];National Natural Science Foundation of China[52006125];National Natural Science Foundation of China[91852205];National Natural Science Foundation of China[T2250710183];National Natural Science Foundation of China[U2006221];National Natural Science Foundation of China[U2241269];Natural Science Foundation of Shandong Province[ZR2021QA010];

Mathematics

Mathematics, Applied

WOS:001043729000001

PERGAMON-ELSEVIER SCIENCE LTD

MATHEMATICS

2-s2.0-85164713563

Scopus

1.Key Laboratory of High Efficiency and Clean Mechanical Manufacture,Ministry of Education,School of Mechanical Engineering,Shandong University,Jinan,Shandong,250061,China
2.Shandong Scitech Innovation Group Co.,Ltd.,Jinan,Shandong,250101,China
3.Guangdong Provincial Key Laboratory of Turbulence Research and Applications,Center for Complex Flows and Soft Matter Research,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
4.Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications,Department and Organization,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China

Peng，Cheng,Wu，Xinnan,Wang，Lian Ping,et al. Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method[J]. Computers and Mathematics with Applications,2023,146:192-199.

Peng，Cheng,Wu，Xinnan,Wang，Lian Ping,&Ji，Li.(2023).Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method.Computers and Mathematics with Applications,146,192-199.

Peng，Cheng,et al."Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method".Computers and Mathematics with Applications 146(2023):192-199.