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 journalArticlepeer-review

146 Citations (Scopus)

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
Pages (from-to)73-79
Number of pages7
JournalPhysics Letters A
Volume221
Issue number1-2
DOIs
Publication statusPublished - 23 Sep 1996
Externally publishedYes

Keywords

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

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