Multiphase Interface Tracking with Fast Semi-Lagrangian Contouring

Area of Science:

• Computational fluid dynamics
• Numerical analysis

Background:

• Accurate multiphase interface tracking is crucial for simulating complex fluid phenomena.
• Existing methods often struggle with topological changes and feature preservation.

Purpose of the Study:

• To develop a robust and accurate semi-Lagrangian method for multiphase interface tracking.
• To handle arbitrary numbers of phases and complex topological changes effectively.

Main Methods:

• An explicit polygonal mesh is maintained and reconstructed from distance and indicator functions.
• Semi-Lagrangian path tracing updates functions, accelerated by an adaptive multiphase distance tree.
• Multiphase polygonization reconstructs the surface mesh at each step.

Main Results:

• The method successfully tracks interfaces for an arbitrary number of phases.
• It demonstrates robustness in handling topological changes without ambiguity.
• Preservation of sharp features and volume is well-maintained.

Conclusions:

• The proposed semi-Lagrangian method offers an efficient and accurate solution for multiphase interface tracking.
• Its ability to handle topological changes and preserve geometric details makes it suitable for advanced simulations.