Order-Independent Multi-Material Interface Reconstruction

Samuel Schofield sams@cut.this.part.lanl.gov

Rao Garimella rao@cut.this.part.lanl.gov

M.M. Francois mmfran@cut.this.part.lanl.gov

R. Loubere loubere@cut.this.part.mip.ups-tlse.fr

We have a developed a novel method for interface reconstruction in multi-material volume-of-fluid (VOF) flow simulations. The method has no material order dependence, is completely general, working for an arbitrary number of materials on arbitrary polygonal grids, provides a decomposition of a cell into convex, pure material regions, and is naturally extendable to 3D.

In each multi-material cell, the method computes approximate material locations based on a linear reconstruction of the volume fraction function. It then subdivides the cell into single material polygons using a weighted Voronoi or Power diagram with the material locators as generators. Finally, it smooths the interfaces segments with respect to their neighbors using a constrained minimization.

Static and dynamic reconstruction tests demonstrate that the method recovers straight line interfaces exactly and accurately reconstructs multi-material interfaces.