Water waves over a time-dependent bottom: Exact description for 2D potential flows

Preprint

20 November 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.physics/0411011

Abstract

Two-dimensional potential flows of an ideal fluid with a free surface are considered in situations when shape of the bottom depends on time due to external reasons. Exact nonlinear equations describing surface waves in terms of the so called conformal variables are derived for an arbitrary time-evolving bottom parameterized by an analytical function. An efficient numerical method for the obtained equations is suggested.

Keywords

2D POTENTIAL
EXACT DESCRIPTION
NUMERICAL METHOD
PARAMETERIZED
POTENTIAL FLOWS
SURFACE WAVES
WATER WAVES
WAVES
BOTTOM DEPENDS
CALLED CONFORMAL

All Related Versions

Version 1, 2004-11-01, ArXiv
Version 2, 2004-11-20, ArXiv
Published version: Physics Letters A, 340 (1-4), 194.

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