Wave motion and overturning induced by moving bodies. Application to slender ship wave resistance
Date of Original Version
A Numerical method developed for two-dimensional fully nonlinear water waves using Boundary Integral Equations (BIE), is used to model wave motion and wave overturning induced by moving bodies. The method is applied to the computation of wave resistance of high speed slender ships. Due to slenderness, the steady three-dimensional wave resistance problem can be approximated by an unsteady two-dimensional problem. A higher-order Boundary Element Method (BEM) is used for solving the BIE's in the physical space. All boundaries are discretized and, in particular, arbitrary bottom geometry can be modeled. Time integration is based on an explicit Taylor expansion in an Eulerian-Lagrangian formulation. Continuity and compatibility of both geometry and field variables are imposed at the intersection between free surface and moving bodies. High accuracy of the integrations is achieved with a distance-adaptive numerical integration. This is particularly needed at boundary corners and in narrow regions of the free surface like in the tip of overturning waves.
Computational Modelling of Free and Moving Boundary Problems
Grilli, S. T.. "Wave motion and overturning induced by moving bodies. Application to slender ship wave resistance." Computational Modelling of Free and Moving Boundary Problems , (1991): 75-90. doi:10.1515/9783110871906-008.