Explicit equations for two-dimensional water waves with constant vorticity
Abstract
Governing equations for two-dimensional inviscid free-surface flows with constant vorticity over arbitrary nonuniform bottom profile are presented in exact and compact form using conformal variables. An efficient and very accurate numerical method for this problem is developed.
- Publication:
-
Physical Review E
- Pub Date:
- March 2008
- DOI:
- 10.1103/PhysRevE.77.037302
- arXiv:
- arXiv:1704.03643
- Bibcode:
- 2008PhRvE..77c7302R
- Keywords:
-
- 47.15.ki;
- 47.35.-i;
- 47.10.-g;
- 47.11.-j;
- Inviscid flows with vorticity;
- Hydrodynamic waves;
- General theory in fluid dynamics;
- Computational methods in fluid dynamics;
- Physics - Fluid Dynamics
- E-Print:
- 4 pages, 6 figures, published in 2008