Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget

Cao，Guiyu1,2; Pan，Liang3; Xu，Kun2,4

2021-08-15

10.1016/j.jcp.2021.110402

JOURNAL OF COMPUTATIONAL PHYSICS   影响因子和分区

0021-9991

1090-2716

The direct numerical simulation (DNS) of compressible isotropic turbulence up to the supersonic regime with Ma=1.2 has been investigated by the high-order gas-kinetic scheme (HGKS) (Cao et al. (2019) [8]). In this study, the DNS on a much higher initial turbulent Mach number up to Ma=2.0 is performed by HGKS, which confirms the super robustness of HGKS. The coarse-graining analysis of subgrid-scale (SGS) turbulent kinetic energy K budget is fully analyzed for constructing one-equation SGS model in the compressible large eddy simulation (LES). The exact compressible SGS turbulent kinetic energy K transport equation is derived with density weighted filtering process. Based on the compressible K transport equation, the coarse-graining processes are implemented on three sets of unresolved grids with the Box filter. The coarse-graining analysis of compressible K budgets shows that all unresolved source terms are dominant in the current system. Especially, the magnitude of SGS pressure-dilation term is on the order of SGS solenoidal dissipation term within the initial acoustic time scale. Therefore, the SGS pressure-dilation term cannot be neglected as that in the previous work. The delicate coarse-graining analysis of SGS diffusion terms in compressible K equation also confirms that both the fluctuation velocity triple correlation term and the pressure-velocity correlation term are dominant terms. The current analysis provides an indication on the order of magnitude of all SGS terms in compressible K budget, which provides a solid basis for compressible LES modeling of high Mach number turbulent flow.

Coarse-graining budget analysis Compressible Ksgs transport equation High-order gas-kinetic scheme Supersonic isotropic turbulence

SCI ; EI

英语

第一

WOS:000663421700010

20212010350017

Aerodynamics ; Kinetic energy ; Kinetic theory of gases ; Kinetics ; Large eddy simulation ; Mach number ; Supersonic aircraft ; Turbulence ; Turbulent flow

Fluid Flow:631 ; Fluid Flow, General:631.1 ; Aerodynamics, General:651.1 ; Aircraft, General:652.1 ; Mathematics:921 ; Mechanical Variables Measurements:943.2

PHYSICS

2-s2.0-85105584485

Scopus

1.Academy for Advanced Interdisciplinary Studies,Southern University of Science and Technology,Shenzhen,China
2.Department of Mathematics,Hong Kong University of Science and Technology,Kowloon,Clear Water Bay,Hong Kong
3.Laboratory of Mathematics and Complex Systems,School of Mathematical Sciences,Beijing Normal University,Beijing,China
4.Shenzhen Research Institute,Hong Kong University of Science and Technology,Shenzhen,China

Cao，Guiyu,Pan，Liang,Xu，Kun. Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2021,439.

Cao，Guiyu,Pan，Liang,&Xu，Kun.(2021).Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget.JOURNAL OF COMPUTATIONAL PHYSICS,439.

Cao，Guiyu,et al."Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget".JOURNAL OF COMPUTATIONAL PHYSICS 439(2021).