An efficient discrete unified gas-kinetic scheme for compressible turbulence

Qi，Yiming1; Chen，Tao2; Wang，Lian Ping2; Guo，Zhaoli3; Chen，Shiyi1,2

2022-11-01

10.1063/5.0120490

PHYSICS OF FLUIDS   Impact Factor & Quartile

1070-6631

1089-7666

In this paper, we develop an efficient Boltzmann-equation-based mesoscopic approach to simulate three-dimensional (3D) compressible turbulence, using reduced Gauss-Hermite quadrature (GHQ) orders by redefining the second distribution in terms of the total energy in the double distribution function approach. This allows the use of two sets of 3D off-lattice discrete particle velocity models, namely, a 27 discrete velocity model of the seventh-order GHQ accuracy (D3V27A7) combined with a 13 discrete velocity model of the fifth-order GHQ accuracy (D3V13A5), to achieve full consistency with the Navier-Stokes-Fourier system. The source terms in the Boltzmann-Bhatnagar-Gross-Krook system are designed to adjust both the Prandtl number and bulk-to-shear viscosity ratio. Compressible decaying homogeneous isotropic turbulence (DHIT) is simulated at low and moderate turbulent Mach numbers to validate our code. It is observed that the simulation results are in good agreement with those in the existing literatures. Furthermore, the terms in the transport equation of turbulent kinetic energy are analyzed in detail, to illustrate four different transient stages from the initial random flow field to the developed DHIT. It is shown that the transient pressure-dilatation transfer happens rapidly, while the small-scale vortical structures take a longer time to establish physically. Compared to the existing literatures, our approach represents the most efficient mesoscopic scheme for compressible turbulence under the double distribution function formulation.

SCI

English

Others

National Natural Science Foundation of China (NSFC) Basic Science Center Program[11988102] ; NSFC["91852205","91741101","11961131006"] ; Taizhou-Shenzhen Innovation Center, Guangdong Provincial Key Laboratory of Turbulence Research and Applications[2019B21203001] ; Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications[2020B1212030001] ; Shenzhen Science and Technology Program[KQTD20180411143441009]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000886069700023

AIP Publishing

PHYSICS

2-s2.0-85143316231

Scopus

1.State Key Laboratory for Turbulence and Complex Systems,College of Engineering,Peking University,Beijing,100871,China
2.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
3.Institute of Interdisciplinary Research for Mathematics and Applied Science,Huazhong University of Science and Technology,Wuhan,Hubei,430074,China

Qi，Yiming,Chen，Tao,Wang，Lian Ping,et al. An efficient discrete unified gas-kinetic scheme for compressible turbulence[J]. PHYSICS OF FLUIDS,2022,34(11).

Qi，Yiming,Chen，Tao,Wang，Lian Ping,Guo，Zhaoli,&Chen，Shiyi.(2022).An efficient discrete unified gas-kinetic scheme for compressible turbulence.PHYSICS OF FLUIDS,34(11).

Qi，Yiming,et al."An efficient discrete unified gas-kinetic scheme for compressible turbulence".PHYSICS OF FLUIDS 34.11(2022).