Water waves over a time-dependent bottom: Exact description for 2D potential flows
流体动力学
2009-11-10 v2 大气与海洋物理
摘要
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.
引用
@article{arxiv.physics/0411011,
title = {Water waves over a time-dependent bottom: Exact description for 2D potential flows},
author = {V. P. Ruban},
journal= {arXiv preprint arXiv:physics/0411011},
year = {2009}
}
备注
revtex4, 7 pages, 19 EPS figures; corrected version with more numerical results