Unsteady free surface flow around hydrofoils

The unsteady two dimensional free surface motion produced by a submerged body in a uniform stream is studied in the potential flow approximation. The Laplace equation governing the irrotational flow of an incompressible fluid is solved by using a boundary element representation for the velocity potential. A Neumann condition is assigned on the body contour and a Dirichlet condition is used on the free surface. Results obtained for several geometrical configurations are in good agreement with available theoretical, numerical, and experimental data.