An efficient discrete unified gas-kinetic scheme for compressible thermal flows

Xin Wen1; Lian-Ping Wang; Zhaoli Guo

2024-02-26

10.1063/5.0188092

Physics of Fluids   影响因子和分区

1070-6631

1089-7666

In this paper, an efficient discrete unified gas-kinetic scheme (DUGKS) is developed for compressible thermal flows based on the total energy kinetic model for natural convection with a large relative temperature difference. A double distribution function model is designed with the second distribution representing the total energy. This efficient DUGKS enables the simulation of compressible thermal flows, governed by the compressible Navier-Stokes-Fourier system, using only a seventh-order, off-lattice Gauss-Hermite quadrature (GHQ) D3V27A7 combined with a fifth-order GHQ D3V13A5. The external force is included by truncated Hermite expansions. Based on the Chapman-Enskog approximation and Hermite projection, we propose a systematic approach to derive the discrete kinetic boundary conditions for the density and total energy distribution functions. The discrete kinetic boundary treatments are provided for the no-slip boundary condition, Dirichlet boundary condition and Neumann boundary condition. To validate our scheme, we perform simulations of steady natural convection ( R a = 10(3) - 10(6)) in two- and three-dimensional cavities with differentially heated sidewalls and a large temperature difference ( epsilon = 0.6), where the Oberbeck-Boussinesq approximation is invalid. The results demonstrate that the current efficient DUGKS is robust and accurate for thermal compressible flow simulations. With the D3V27A7 and D3V13A5 off-lattice discrete particle velocity model, the computational efficiency of the DUGKS is improved by a factor of 3.09 when compared to the previous partial energy kinetic model requiring the ninth-order Gauss-Hermite quadrature.

SCI ; EI

英语

其他

National Natural Science Foundation of China10.13039/501100001809["T2250710183","U2241269","91852205","11961131006"] ; National Natural Science Foundation of China[11988102] ; NSFC Basic Science Center Program[2023B1212060001] ; Taizhou-Shenzhen Innovation Center, Guangdong Provincial Key Laboratory of Turbulence Research and Applications[2020B1212030001] ; Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications["2020-148","KQTD20180411143441009"] ; Shenzhen Science & Technology Program[K2023124]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:001177282500006

AIP Publishing

PHYSICS

人工提交

1.Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China
2.Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Center for Complex Flows and Soft Matter Research and Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology
3.Institute of Interdisciplinary Research for Mathematics and Applied Science, Huazhong University of Science and Technology, Wuhan 430074, China

Xin Wen,Lian-Ping Wang,Zhaoli Guo. An efficient discrete unified gas-kinetic scheme for compressible thermal flows[J]. Physics of Fluids,2024,36(026123).

Xin Wen,Lian-Ping Wang,&Zhaoli Guo.(2024).An efficient discrete unified gas-kinetic scheme for compressible thermal flows.Physics of Fluids,36(026123).

Xin Wen,et al."An efficient discrete unified gas-kinetic scheme for compressible thermal flows".Physics of Fluids 36.026123(2024).