Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)

A. I. Dyachenko, E. A. Kuznetsov, M. D. Spector, V. E. Zakharov

Research output: Contribution to journalArticle

121 Scopus citations

Abstract

Using the combination of the canonical formalism for free-surface hydrodynamics and conformal mapping to the half-plane we obtain a simple system of pseudo-differential equations for the surface shape and hydrodynamic potential. The system is well-adjusted for a numerical simulation. Some typical results of such a simulation are presented.

Original languageEnglish (US)
Pages (from-to)73-79
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume221
Issue number1-2
DOIs
StatePublished - Sep 23 1996

Keywords

  • Conformal mapping
  • Free surface hydrodynamics
  • Integrable equation
  • Potential flow

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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