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, Vladimir E Zakharov

Research output: Contribution to journalArticle

116 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 (US)
Pages (from-to)73-79
Number of pages7
JournalPhysics Letters A
Volume221
Issue number1-2
StatePublished - Sep 23 1996

Fingerprint

ideal fluids
conformal mapping
hydrodynamics
formalism
half planes
differential equations
simulation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping). / Dyachenko, A. I.; Kuznetsov, E. A.; Spector, M. D.; Zakharov, Vladimir E.

In: Physics Letters A, Vol. 221, No. 1-2, 23.09.1996, p. 73-79.

Research output: Contribution to journalArticle

@article{c18e10d2275243c7be4cdeac6dfe1ca8,
title = "Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)",
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.",
keywords = "Conformal mapping, Free surface hydrodynamics, Integrable equation, Potential flow",
author = "Dyachenko, {A. I.} and Kuznetsov, {E. A.} and Spector, {M. D.} and Zakharov, {Vladimir E}",
year = "1996",
month = "9",
day = "23",
language = "English (US)",
volume = "221",
pages = "73--79",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)

AU - Dyachenko, A. I.

AU - Kuznetsov, E. A.

AU - Spector, M. D.

AU - Zakharov, Vladimir E

PY - 1996/9/23

Y1 - 1996/9/23

N2 - 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.

AB - 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.

KW - Conformal mapping

KW - Free surface hydrodynamics

KW - Integrable equation

KW - Potential flow

UR - http://www.scopus.com/inward/record.url?scp=0042014763&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042014763&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0042014763

VL - 221

SP - 73

EP - 79

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1-2

ER -