A geometrical area-preserving Volume-of-Fluid advection method

Eugenio Aulisa, Sandro Manservisi, Ruben Scardovelli, Stephane Zaleski

Research output: Contribution to journalArticlepeer-review

104 Scopus citations


A new class of algorithms that preserve mass exactly for incompressible flows on a Cartesian mesh are presented. They amount to piecewise-linear, area-preserving mappings of tessellations of the plane. They are equivalent to Volume-of-Fluid (VOF) advection methods which are decomposed into an Eulerian implicit scheme in one direction followed by a Lagrangian explicit step in the other one. It is demonstrated that mass conservation is exact for incompressible flows and that there are no undershoots or overshoots of the volume fraction which thus always remains constrained between 0 and 1.

Original languageEnglish
Pages (from-to)355-364
Number of pages10
JournalJournal of Computational Physics
Issue number1
StatePublished - Nov 20 2003


  • Advection algorithms
  • Area-preserving mapping
  • Interface tracking
  • Volume tracking
  • Volume-of-Fluid method


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