Simulation of two-phase flows at large density ratios and high Reynolds numbers using a discrete unified gas kinetic scheme

Lai，Jun1,2; Xiao，Zuoli1; Wang，Lian Ping2,3

2022-09-01

10.1063/5.0109239

PHYSICS OF FLUIDS   Impact Factor & Quartile

1070-6631

1089-7666

In order to treat immiscible two-phase flows at large density ratios and high Reynolds numbers, a three-dimensional code based on the discrete unified gas kinetic scheme (DUGKS) is developed, incorporating two major improvements. First, the particle distribution functions at cell interfaces are reconstructed using a weighted essentially non-oscillatory scheme. Second, the conservative lower-order Allen-Cahn equation is chosen instead of the higher-order Cahn-Hilliard equation to evolve the free-energy-based phase field governing the dynamics of two-phase interfaces. Five benchmark problems are simulated to demonstrate the capability of the approach in treating two-phase flows at large density ratios and high Reynolds numbers, including three two-dimensional problems (a stationary droplet, Rayleigh-Taylor instability, and a droplet splashing on a thin liquid film) and two three-dimensional problems (binary droplets collision and Rayleigh-Taylor instability). All results agree well with the previous numerical and experimental results. In these simulations, the density ratio and the Reynolds number can reach a large value of O (1000). Our improved approach sets the stage for the DUGKS scheme to handle realistic two-phase flow problems.

SCI

English

Others

National Natural Science Foundation of China (NSFC)["91852205","91741101","11961131006"] ; NSFC Basic Science Center Program[11988102] ; 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] ; Science, Technology and Innovation Commission of Shenzhen Municipality["KQTD20180411143441009","2020-148"]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000875253400002

AIP Publishing

PHYSICS

2-s2.0-85139235487

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.Guangdong-Hong Kong-Macao Jt. Lab. for Data-Driven Fluid Mechanics and Engineering Applications,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China

Lai，Jun,Xiao，Zuoli,Wang，Lian Ping. Simulation of two-phase flows at large density ratios and high Reynolds numbers using a discrete unified gas kinetic scheme[J]. PHYSICS OF FLUIDS,2022,34(9).

Lai，Jun,Xiao，Zuoli,&Wang，Lian Ping.(2022).Simulation of two-phase flows at large density ratios and high Reynolds numbers using a discrete unified gas kinetic scheme.PHYSICS OF FLUIDS,34(9).

Lai，Jun,et al."Simulation of two-phase flows at large density ratios and high Reynolds numbers using a discrete unified gas kinetic scheme".PHYSICS OF FLUIDS 34.9(2022).