### 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 A |

Volume | 221 |

Issue number | 1-2 |

State | Published - Sep 23 1996 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters A*,

*221*(1-2), 73-79.

**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.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 221, no. 1-2, pp. 73-79.

}

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 -