Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio

Zhang，Chunhua1,2; Wang，Lian Ping2,3; Liang，Hong4; Guo，Zhaoli5

2023-06-01

10.1016/j.jcp.2023.112040

JOURNAL OF COMPUTATIONAL PHYSICS   Impact Factor & Quartile

0021-9991

1090-2716

In this paper, we proposed a central moment discrete unified gas-kinetic scheme (DUGKS) for multiphase flows with large density ratio and high Reynolds number. Two sets of kinetic equations with central-moment-based multiple relaxation time collision operator are employed to approximate the incompressible Navier-Stokes equations and a conservative phase field equation for interface-capturing, respectively. In the framework of DUGKS, the first moment of the distribution function for the hydrodynamic equations is defined as velocity instead of momentum. Meanwhile, the zeroth moments of the distribution function and external force are carefully defined such that a artificial pressure evolution equation can be recovered. Moreover, the Strang splitting technique for time integration is employed to avoid the calculation of spatial derivatives in the force term at cell faces. For the interface-capturing equation, two equivalent DUGKS methods that deal with the diffusion term differently using a source term as well as a modified moments of the equilibrium distribution function are presented. Several benchmark tests that cover a wide a range of density ratios (up to 1000) and Reynolds numbers (up to 10) are subsequently carried out to demonstrate the capabilities of the proposed scheme. Numerical results are in good agreement with the theoretical and experimental data.

Central moment DUGKS Large density ratio Multiphase flow Phase field

English

Corresponding

PHYSICS

2-s2.0-85150044964

Scopus

1.School of Energy and Power Engineering,North University of China,Taiyuan,Shanxi,030051,China
2.Guangdong Provincial Key Laboratory of Turbulence Research and Applications,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
3.Center for Complex Flows and Soft Matter Research,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
4.Department of Physics,Hangzhou Dianzi University,Hangzhou,310018,China
5.Institute of Interdisciplinary Research for Mathematics and Applied Science,Huazhong University of Science and Technology,Wuhan,430074,China

Zhang，Chunhua,Wang，Lian Ping,Liang，Hong,et al. Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,482.

Zhang，Chunhua,Wang，Lian Ping,Liang，Hong,&Guo，Zhaoli.(2023).Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio.JOURNAL OF COMPUTATIONAL PHYSICS,482.

Zhang，Chunhua,et al."Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio".JOURNAL OF COMPUTATIONAL PHYSICS 482(2023).