Multi-relaxation-time lattice Boltzmann front tracking method for two-phase flow with surface tension

In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with a sharp interface, where the surface tension is implemented. The lattice Boltzmann method is used to simulate the incompressible flow with a stationar...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 12; pp. 310 - 316
Main Author 谢海琼 曾忠 张良奇 梁功有 Hiroshi Mizuseki Yoshiyuki Kawazoe
Format Journal Article
LanguageEnglish
Published 01.12.2012
Subjects
Computational fluid dynamics
Computer simulation
Fluid flow
Fluids
Lattices
Mathematical analysis
Mathematical models
Surface tension
Tracking
两相流
拉格朗日
数值模拟
松弛时间
格子Boltzmann方法
流体性质
表面张力
跟踪方法
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/12/124703

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Summary:In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with a sharp interface, where the surface tension is implemented. The lattice Boltzmann method is used to simulate the incompressible flow with a stationary Eulerian grid, an additional moving Lagrangian grid is adopted to track explicitly the motion of the interface, and an indicator function is introduced to update the fluid properties accurately. The interface is represented by using a four-order Lagrange polynomial through fitting a set of discrete marker points, and then the surface tension is directly computed by using the normal vector and curvature of the interface. Two benchmark problems, including Laplace＇s law for a stationary bubble and the dispersion relation of the capillary wave between two fluids are conducted for validation. Excellent agreement is obtained between the numerical simulations and the theoretical results in the two cases.
Bibliography:In this paper, an improved incompressible multi-relaxation-time lattice Boltzmann-front tracking approach is proposed to simulate two-phase flow with a sharp interface, where the surface tension is implemented. The lattice Boltzmann method is used to simulate the incompressible flow with a stationary Eulerian grid, an additional moving Lagrangian grid is adopted to track explicitly the motion of the interface, and an indicator function is introduced to update the fluid properties accurately. The interface is represented by using a four-order Lagrange polynomial through fitting a set of discrete marker points, and then the surface tension is directly computed by using the normal vector and curvature of the interface. Two benchmark problems, including Laplace＇s law for a stationary bubble and the dispersion relation of the capillary wave between two fluids are conducted for validation. Excellent agreement is obtained between the numerical simulations and the theoretical results in the two cases.
Xie Hai-Qiong, Zeng Zhong, Zhang Liang-Qi Liang Gong-You, Hiroshi Mizusek, and Yoshiyuki Kawazoe a） Department of Engineering Mechanics, Chongqing University, Chongqing 400044, China b） State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China C） Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
11-5639/O4
lattice Boltzmann method, multi-relaxation-time, front tracking method, surface ten- sion, two-phase flow
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SourceType-Scholarly Journals-1
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content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/12/124703