| Abstract: |
| This contribution will present a mathematical model for the simulation of the flow past a ship sailing in calm or wavy water. The fluid dynamic model is based on the potential flow theory and is governed by the Laplace equation, here complemented by fully nonlinear boundary conditions on the water free surface and non penetration boundary conditions on the ship hull. The spatial discretization of the Laplace equation is carried out by means of the Boundary Element Method (BEM), while the discretization of the time dependent fully nonlinear free surface boundary conditions is based on the Finite Element Method (FEM). Such a combined FEM-BEM spatial discretization strategy results in a Differential Algebraic Equations (DAE) system, that is time integrated via implicit Backward Difference Formula (BDF) method with variable degree and time step. The numerical solver is implemented in a stand alone C++ program which efficiently leverages on several open source numerical libraries. Validation test cases based on comparison with experimental measurements obtained on industrial benchmark hulls will be presented. In addition, some results on the application on competition rowing boat hulls will be shown and discussed. |
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