Physics > Fluid Dynamics
[Submitted on 10 Jun 2012
]
Title: Free-Surface Hydrodynamics in the conformal variables
Title: 保形变量下的自由表面水动力学
Abstract: The potential flow of two-dimensional ideal incompressible fluid with a free surface is studied. Using the theory of conformal mappings and Hamiltonian formalism allows us to derive exact equations of surface evolution. Simple form of the equations helped to discover new integrals of motion. These integrals are connected with the analytical properties of conformal mapping and complex velocity. Simple form of the equations also makes the numerical simulations of the free surface evolution very straightforward. In the limit of almost flat surface the equations can be reduced to the Hopf equation.
Submission history
From: Alexander Dyachenko [view email][v1] Sun, 10 Jun 2012 17:53:39 UTC (18 KB)
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