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

doi:10.1016/0375-9601(96)00417-3

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 journal › Article › peer-review

182 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 language	English (US)
Pages (from-to)	73-79
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	221
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(96)00417-3
State	Published - Sep 23 1996
Externally published	Yes

Keywords

Conformal mapping
Free surface hydrodynamics
Integrable equation
Potential flow

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(96)00417-3

Cite this

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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, \{V. E.\}",

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year = "1996",

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doi = "10.1016/0375-9601(96)00417-3",

language = "English (US)",

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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, V. E.

N1 - Funding Information: This work was partially supportedb y ONR Con-tractN o. NOOO14-92-J-1343b, y RBRF Grant No. 94- Funding Information: 01-00898 and by ISF Grant No. MAT-2206-0925 SF. E.K. and M.S. acknowledget heM athematicalD epart-ment of Arizona University (Tucson) for hospitality.

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

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SN - 0375-9601

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

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

IS - 1-2

ER -

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

Abstract

Keywords

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