Water waves over a time-dependent bottom: Exact description for 2D potential flows
Abstract
Two-dimensional potential flows of an ideal fluid with a free surface are considered in situations when the bottom boundary depends on time due to external reasons. Exact nonlinear equations describing surface waves in terms of so-called conformal variables are derived for an arbitrary time-evolving bottom parameterized by an analytical function. An efficient numerical method for obtained equations is suggested.
- Publication:
-
Physics Letters A
- Pub Date:
- June 2005
- DOI:
- 10.1016/j.physleta.2005.03.073
- arXiv:
- arXiv:physics/0411011
- Bibcode:
- 2005PhLA..340..194R
- Keywords:
-
- Physics - Fluid Dynamics;
- Physics - Atmospheric and Oceanic Physics
- E-Print:
- revtex4, 7 pages, 19 EPS figures