A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

作者：Lv Xin^*; Zou Qingping; Zhao Yong; Reeve Dominic

来源：Journal of Computational Physics, 2010, 229(7): 2573-2604.

DOI：10.1016/j.jcp.2009.12.005

• VOF
• Level set
• Free surface
• Tetrahedral grid
• Finite volume method

We present a new three-dimensional hybrid level set (LS) and volume Of fluid (VOF) method for free surface flow simulations on tetrahedral grids At each time step. we evolve both the level set function and the Volume fraction The level set function is evolved by solving the level set advection equation using a second-order characteristic based finite Volume method The volume fraction advection is performed using a bounded compressive normalized variable diagram (NVD) based scheme The interface is reconstructed based oil both the level set and the Volume fraction information The novelty of the method lies in that we use an analytic method for finding the intercepts oil tetrahedral grids. which makes interface reconstruction efficient and conserves volume of fluid exactly Furthermore, the advection of volume fraction makes use of the NVD concept and switches between different high resolution differencing schemes to yield a bounded scalar field, and to preserve both smoothness and sharp definition of the interface. The method IS coupled to a well validated finite volume based Navier-Stokes incompressible flow solver The code validation shows that our method can be employed to resolve complex interface changes efficiently and accurately. In addition, the centroid and intercept data available as a by-product

• 单位
  南阳理工学院