A numerical method for potential flows with a free surface

Andrea Prosperetti, Jeffrey W. Jacobs

Research output: Contribution to journalArticle

9 Scopus citations


A finite-difference numerical method for an accurate and efficient solution of transient potential flow problems with a free surface is described and illustrated with application to the Rayleigh-Taylor instability and the expulsion of liquid from a pipe immersed in a tank. The novel feature of the method consists of the adoption of special differentiation formulae to calculate the liquid velocity at the free surface with much greater accuracy and stability than previously possible.

Original languageEnglish (US)
Pages (from-to)365-386
Number of pages22
JournalJournal of Computational Physics
Issue number3
StatePublished - Sep 1983
Externally publishedYes


ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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