Axisymmetric Phase-field-based lattice Boltzmann model with reduced spurious velocity for incompressible two-phase flows

Zhang CH1; Guo ZL2; Lian-Ping Wang3; Liu HT1; Liang H4

2024-01-08

10.1063/5.0182423

Physics of Fluids   影响因子和分区

1070-6631

1089-7666

In this work, a phase-field-based lattice Boltzmann method with reduced spurious velocity is developed for axisymmetric incompressible two-phase flows. Two sets of lattice Boltzmann equations with multiple-relaxation-time collision operators are used to, respectively, recover the conservative Allen-Cahn equation for interface capturing and the hydrodynamic equations. To reduce the spurious velocity, a novel correction term is introduced into the hydrodynamic lattice Boltzmann equation so that the leading truncation error related to the third derivatives of pressure can be partially removed. Simultaneously, the radius-weighted mirror symmetric boundary is applied to the axis of symmetry because all the moments of the distribution functions are proportional to the radial coordinate. Furthermore, the bulk viscosity is able to be changed independent of the shear viscosity through redefining the source term. A series of classical numerical experiments, including stationary droplet, oscillation of an elliptical droplet, bubble rising, drop splashing, have been conducted to test the performance of the proposed model. Numerical results agree well with the analytical solution and published data in literature, which demonstrates the improved accuracy and numerical stability.

SCI

英语

其他

National Natural Science Foundation of China10.13039/501100001809[51976203] ; National Natural Science Foundation of China[202303021211160]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:001143268600014

AIP Publishing

PHYSICS

人工提交

在线出版

1.School of Energy and Power Engineering, North University of China, Taiyuan, Shanxi 030051, China
2.Institute of Interdisciplinary Research for Mathematics and Applied Science, Huazhong University of Science and Technology, Wuhan 430074, China
3.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
4.Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China

Zhang CH,Guo ZL,Lian-Ping Wang,et al. Axisymmetric Phase-field-based lattice Boltzmann model with reduced spurious velocity for incompressible two-phase flows[J]. Physics of Fluids,2024,36(1):013308.

Zhang CH,Guo ZL,Lian-Ping Wang,Liu HT,&Liang H.(2024).Axisymmetric Phase-field-based lattice Boltzmann model with reduced spurious velocity for incompressible two-phase flows.Physics of Fluids,36(1),013308.

Zhang CH,et al."Axisymmetric Phase-field-based lattice Boltzmann model with reduced spurious velocity for incompressible two-phase flows".Physics of Fluids 36.1(2024):013308.