Phase field modeling of internal convection and

Wanyuan Shi, Fengchao Zhang, Xiaohong Tian, Takao Tsukada

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In order to simulate the two-phase flow with high density ratio, the algorithm of Newton iteration was utilized to solve a discretized semi-implicit Cahn-Hilliard equation. The dam-break flow problem and the interface deformation of a rising air bubble in water were numerically simulated using the phase field method. The result exhibits that when the water flow reaches the right side wall, it flows upward along the solid wall. Driven by the buoyant force, the spherical bubble rises up, and deforms into a spherical-cap shape gradually. The results agree well with those obtained by the front tracking method, which indicates the validity of the numerical algorithm. By the phase field method, the internal convection and interface deformation of a levitated droplet of molten silicon is simulated with a given initial amplitude. The result shows that the droplet gradually shrinks and the internal convection occurs, driven by the surface tension force. After a while, the droplet extends again, and four vortexes locate in the droplet, aligning along the vertical direction.

Original languageEnglish
Pages (from-to)692-697
Number of pages6
JournalXinan Jiaotong Daxue Xuebao/Journal of Southwest Jiaotong University
Issue number4
Publication statusPublished - 2012 Aug


  • Droplet
  • Molten silicon
  • Newton iteration
  • Phase field modeling
  • Semi-implicit scheme


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