Nonlinear time‐domain wave‐structure interaction: A parallel fast integral equation approach

We report on the development and validation of a new numerical wave tank (NWT) solving fully nonlinear potential flow (FNPF) equations, as more efficient variation Grilli et al.'s NWT [Grilli al., A model for three-dimensional overturning waves over arbitrary bottom. Int J Numer Methods Fluids. 2001; 35:829-867], which was successful at modeling many phenomena, including landslide-generated tsunamis, rogue waves, initiation breaking slopes. This earlier combined three dimensional MII (mid-interval interpolation) boundary element method (BEM) to an explicit mixed Eulerian–Lagrangian time integration. The latter based second-order Taylor series expansions mesh geometry Dirichlet free surface condition potential, requiring high-order derivatives be computed in space time. Here, able solve large scale wave-structure interaction problems surface-piercing bodies complex geometry, interest ocean engineering naval hydrodynamics applications, is reformulated use cubic B-spline meshes BEM solution accelerated with parallelized fast multipole (FMM) ExaFMM, one fastest open source FMM date. accuracy, convergence, scaling are first assessed simple cases, by comparing results those MII-NWT function size other parameters. relevance targeted applications then demonstrated piercing fixed cylinders, we show that agree well theoretical experimental data elevation hydrodynamic forces.