High-order gas-kinetic schemes with non-compact and compact reconstruction for implicit large eddy simulation

Zhao，Wenjin1,2; Cao，Guiyu2; Wang，Jianchun2; Xu，Kun1

2023-04-30

10.1016/j.compfluid.2023.105846

Computers and Fluids   Impact Factor & Quartile

0045-7930

1879-0747

High-order gas-kinetic scheme (HGKS) with 5th-order non-compact reconstruction has been well implemented for implicit large eddy simulation (ILES) in nearly incompressible turbulent channel flows. In this study, the HGKS with higher-order non-compact reconstruction and compact reconstruction will be validated in turbulence simulation. For higher-order non-compact reconstruction, 7th-order reconstruction in both normal and tangential directions are implemented. On the other hand, the compact HGKS with 5th-order compact reconstruction in normal direction is developed. Current work aims to show the benefits of high-order non-compact reconstruction and compact reconstruction for ILES. The accuracy of HGKS is verified by numerical simulation of three-dimensional advection of density perturbation. For the non-compact 7th-order scheme, 16 Gaussian points are required on the cell-interface to preserve the order of accuracy. Then, HGKS with non-compact and compact reconstruction is used in the three-dimensional Taylor–Green vortex (TGV) problem and turbulent channel flows. Accurate ILES solutions have been obtained from HGKS. In terms of the physical modeling underlying the numerical algorithms, the compact reconstruction has the consistent physical and numerical domains of dependence without employing additional information from cells which have no any direct physical connection with the targeted cell. The compact GKS shows a favorable performance for turbulence simulation in resolving the multi-scale structures.

Compact reconstruction High-order gas-kinetic scheme Implicit large eddy simulation

SCI

English

Corresponding

National Natural Science Foundation of China[12172161];National Natural Science Foundation of China[12172316];

Computer Science ; Mechanics

Computer Science, Interdisciplinary Applications ; Mechanics

WOS:000962418000001

PERGAMON-ELSEVIER SCIENCE LTD

COMPUTER SCIENCE

2-s2.0-85150765265

Scopus

1.Department of Mechanical and Aerospace Engineering,Hong Kong University of Science and Technology,Kowloon,Clear Water Bay,Hong Kong
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Zhao，Wenjin,Cao，Guiyu,Wang，Jianchun,et al. High-order gas-kinetic schemes with non-compact and compact reconstruction for implicit large eddy simulation[J]. Computers and Fluids,2023,256.

Zhao，Wenjin,Cao，Guiyu,Wang，Jianchun,&Xu，Kun.(2023).High-order gas-kinetic schemes with non-compact and compact reconstruction for implicit large eddy simulation.Computers and Fluids,256.

Zhao，Wenjin,et al."High-order gas-kinetic schemes with non-compact and compact reconstruction for implicit large eddy simulation".Computers and Fluids 256(2023).