An Interface Tracking Method with Triangle Edge Cuts

Mengdi Wang¹, Matthew Cong², Bo Zhu^1
1Georgia Institute of Technology
²NVIDIA Corporation

Abstract

This paper introduces a volume-conserving interface tracking algorithm on unstructured triangle meshes. The method discretizes the interface via triangle edge cuts which represent the intersections between the interface and the triangle mesh edges using a compact 6 numbers per triangle. This enables an efficient implicit representation of the sub-triangle polygonal material regions without explicitly storing connectivity information. An efficient advection algorithm for this interface representation is based on geometric queries and does not require an optimization process. This advection algorithm is extended via an area correction step that enforces volume-conservation of the materials. The method is evaluated on a variety of advection problems on a triangle mesh, with performance comparisons against existing interface tracking methods including VOF and MOF.

Video / Results

Static Reconstruction

Single Vortex

Zalesak’s Disk

Deformation Test