Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry

E. Aulisa, S. Manservisi, R. Scardovelli, S. Zaleski

Research output: Contribution to journalArticle

143 Scopus citations

Abstract

In this paper we present and analyze different volume-of-fluid (VOF) reconstruction and advection algorithms that approximate the interface separating two immiscible fluids in the three-dimensional space. The paper describes the improvement of the reconstruction when a least-square fit algorithm, which minimizes a distance functional, is applied. Its performance is tested for several smooth surfaces against other simple reconstruction methods. Then Eulerian, Lagrangian and mixed split advection schemes are presented and analyzed. In particular, one advection method is discussed that conserves mass exactly for a divergence-free velocity field, thus allowing computations to machine precision.

Original languageEnglish
Pages (from-to)2301-2319
Number of pages19
JournalJournal of Computational Physics
Volume225
Issue number2
DOIs
StatePublished - Aug 10 2007

Keywords

  • Incompressible flow
  • Interface reconstruction
  • Lagrangian and Eulerian advection
  • Mass conservation
  • VOF/PLIC methods

Fingerprint Dive into the research topics of 'Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry'. Together they form a unique fingerprint.

Cite this