English

A mass-preserving level set method for simulating 2D/3D fluid flows with evolving interface

Computational Physics 2019-12-19 v1

Abstract

Within the context of Eulerian approaches, we aim to develop a new interface-capturing solver to predict two-phase flow in 2D/3D Cartesian meshes. To achieve mass conservation and to capture interface topology accurately, a mass-preserving level set advection equation cast in the scalar sign-distance function is developed. The novelty of the proposed Eulerian solver lies in the introduction of a scalar speed function to rigorously reconstruct the classical level set equation. Through several benchmark problems, the proposed flow solver for solving incompressible two-phase viscous flow equations has been verified.

Keywords

Cite

@article{arxiv.1912.08440,
  title  = {A mass-preserving level set method for simulating 2D/3D fluid flows with evolving interface},
  author = {Hao-Liang Wen and Ching-Hao Yu and Tony Wen-Hann Sheu},
  journal= {arXiv preprint arXiv:1912.08440},
  year   = {2019}
}

Comments

42 pages, 19 figures, 2 tables

R2 v1 2026-06-23T12:49:23.426Z