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

Hai Qiong Xie, Zhong Zeng, Liang Qi Zhang, Gong You Liang, Hiroshi Mizuseki, Yoshiyuki Kawazoe

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Article number124703
JournalChinese Physics B
Issue number12
Publication statusPublished - 2012 Dec


  • front tracking method
  • lattice Boltzmann method
  • multi-relaxation-time
  • surface tension
  • two-phase flow


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