A Deep Learning Algorithm for Piecewise Linear Interface Construction (PLIC)

TL;DR

This paper introduces a deep learning approach to efficiently solve the computationally intensive forward problem in Piecewise Linear Interface Construction, significantly accelerating fluid interface reconstruction in CFD simulations.

Contribution

A novel deep learning model that solves the PLIC forward problem using the inverse problem, greatly improving computational speed in CFD applications.

Findings

Model is up to several orders of magnitude faster than traditional methods.

Reduces computational bottleneck in CFD fluid interface reconstruction.

Demonstrates high accuracy in reconstructing interfaces from volume fractions.

Abstract

Piecewise Linear Interface Construction (PLIC) is frequently used to geometrically reconstruct fluid interfaces in Computational Fluid Dynamics (CFD) modeling of two-phase flows. PLIC reconstructs interfaces from a scalar field that represents the volume fraction of each phase in each computational cell. Given the volume fraction and interface normal, the location of a linear interface is uniquely defined. For a cubic computational cell (3D), the position of the planar interface is determined by intersecting the cube with a plane, such that the volume of the resulting truncated polyhedron cell is equal to the volume fraction. Yet it is geometrically complex to find the exact position of the plane, and it involves calculations that can be a computational bottleneck of many CFD models. However, while the forward problem of 3D PLIC is challenging, the inverse problem, of finding the volume of the truncated polyhedron cell given a defined plane, is simple. In this work, we propose a deep learning model for the solution to the forward problem of PLIC by only making use of its inverse problem. The proposed model is up to several orders of magnitude faster than traditional schemes, which significantly reduces the computational bottleneck of PLIC in CFD simulations.