English

NPLIC: A Machine Learning Approach to Piecewise Linear Interface Construction

Numerical Analysis 2021-09-22 v2 Machine Learning Numerical Analysis Computational Physics Fluid Dynamics

Abstract

Volume of fluid (VOF) methods are extensively used to track fluid interfaces in numerical simulations, and many VOF algorithms require that the interface be reconstructed geometrically. For this purpose, the Piecewise Linear Interface Construction (PLIC) technique is most frequently used, which for reasons of geometric complexity can be slow and difficult to implement. Here, we propose an alternative neural network based method called NPLIC to perform PLIC calculations. The model is trained on a large synthetic dataset of PLIC solutions for square, cubic, triangular, and tetrahedral meshes. We show that this data-driven approach results in accurate calculations at a fraction of the usual computational cost, and a single neural network system can be used for interface reconstruction of different mesh types.

Keywords

Cite

@article{arxiv.2007.04244,
  title  = {NPLIC: A Machine Learning Approach to Piecewise Linear Interface Construction},
  author = {Mohammadmehdi Ataei and Markus Bussmann and Vahid Shaayegan and Franco Costa and Sejin Han and Chul B. Park},
  journal= {arXiv preprint arXiv:2007.04244},
  year   = {2021}
}
R2 v1 2026-06-23T16:57:27.672Z