Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)
Abstract
Using the combination of the canonical formalism for free-surface hydrodynamics and conformal mapping to the half-plane we obtain a simple system of pseudo-differential equations for the surface shape and hydrodynamic potential. The system is well-adjusted for a numerical simulation. Some typical results of such a simulation are presented.
- Publication:
-
Physics Letters A
- Pub Date:
- February 1996
- DOI:
- 10.1016/0375-9601(96)00417-3
- Bibcode:
- 1996PhLA..221...73D