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

Mathematics

Research output: Contribution to journal › Article › peer-review

166 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

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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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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ER -

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

Abstract

Keywords

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