Steady and unsteady formulations fpr hydrodynamic potential flow model with fully nonlinear free surface boundary conditions

The seminar will discuss the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in ship hydrodynamics simulations based on potential flow theory. The main goal of such a discussion is that of identifying a mathematical formulation and a numerical treatment that can be used both to carry out transient simulations, and to compute steady solutions - for any flow admitting them. In the literature on numerical towing tank in fact, steady and unsteady fully nonlinear potential flow solvers are historically characterized by radically different mathematical models. We will analyze the reasons why this happened, and propose a formulation that can be successfully used both to carry out transient simulations and - upon elimination of time derivatives - to compute steady solutions. Contatti: edie.miglio@polimi.it gabriele.ciaramella@polimi.it