Towards a solution of the three-dimensional Wagner problem.

Yves-Marie Scolan (1, 2) , A. A. Korobkin (3)

1 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
2 ECM - École Centrale de Marseille
3 LIH - Lavrentyev Institute of Hydrodynamics

An algorithm is proposed to solve the three-dimensional Wagner problem [1] for an arbitrary blunt body penetrating initially flat free surface. The flow is described under the classical assumptions of potential flow theory without account for gravity and surface tension. In the continuity of [2], the boundary value problem is formulated in terms of the displacement potential, which is time integral of the velocity potential, and a conformal mapping of the wetted surface onto the unit disk is used. This means that regular enough shapes of entering bodies are only considered. It is shown how to reduce the three-dimensional boundary value problem to a non-linear system of ordinary differential equations, hence yielding a method of solution to this still open problem. 2) Boundary

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Yves-Marie Scolan, A. A. Korobkin. Towards a solution of the three-dimensional Wagner problem.. 23rd International Workshop on Water Waves and Floating Bodies,, Apr 2008, Jeju, South Korea. 4pp. ⟨hal-00458060⟩