Time dependent gravity - capillary flows past an obstacle

P. A. Milewski; J. M. Vanden-Broeck

doi:10.1016/S0165-2125(98)00021-3

Time dependent gravity - capillary flows past an obstacle

P. A. Milewski, J. M. Vanden-Broeck

University of Wisconsin-Madison

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31 Citations (SciVal)

Abstract

The evolution of free surface gravity-capillary flows past a submerged obstacle in a shallow water channel is studied. For weakly nonlinear waves, the problem is formulated as a forced fifth-order Korteweg-de Vries (KdV) equation for the free-surface profile. Solutions to the initial value problem for this equation are computed numerically. It is found that there is a wealth of steady and unsteady behaviors, and several regimes are identified by varying the Froude and Bond numbers. This generalizes previous calculations in the absence of surface tension.

Original language	English
Pages (from-to)	63-79
Number of pages	17
Journal	Wave Motion
Volume	29
Issue number	1
DOIs	https://doi.org/10.1016/S0165-2125(98)00021-3
Publication status	Published - 1 Jan 1999

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/S0165-2125(98)00021-3

Cite this

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abstract = "The evolution of free surface gravity-capillary flows past a submerged obstacle in a shallow water channel is studied. For weakly nonlinear waves, the problem is formulated as a forced fifth-order Korteweg-de Vries (KdV) equation for the free-surface profile. Solutions to the initial value problem for this equation are computed numerically. It is found that there is a wealth of steady and unsteady behaviors, and several regimes are identified by varying the Froude and Bond numbers. This generalizes previous calculations in the absence of surface tension.",

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N2 - The evolution of free surface gravity-capillary flows past a submerged obstacle in a shallow water channel is studied. For weakly nonlinear waves, the problem is formulated as a forced fifth-order Korteweg-de Vries (KdV) equation for the free-surface profile. Solutions to the initial value problem for this equation are computed numerically. It is found that there is a wealth of steady and unsteady behaviors, and several regimes are identified by varying the Froude and Bond numbers. This generalizes previous calculations in the absence of surface tension.

AB - The evolution of free surface gravity-capillary flows past a submerged obstacle in a shallow water channel is studied. For weakly nonlinear waves, the problem is formulated as a forced fifth-order Korteweg-de Vries (KdV) equation for the free-surface profile. Solutions to the initial value problem for this equation are computed numerically. It is found that there is a wealth of steady and unsteady behaviors, and several regimes are identified by varying the Froude and Bond numbers. This generalizes previous calculations in the absence of surface tension.

UR - https://www.scopus.com/pages/publications/0032738558

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DO - 10.1016/S0165-2125(98)00021-3

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VL - 29

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JO - Wave Motion

JF - Wave Motion

IS - 1

ER -

Time dependent gravity - capillary flows past an obstacle

Abstract

ASJC Scopus subject areas

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