Towards an Efficient 3D Numerical Wave Tank using the Harmonic Polynomial Cell method with Adaptive Grid Refinement

An extension from 2D to 3D of the fully-nonlinear numerical wave tank (NWT) used by Hanssen et al. is presented. Potential-flow theory is assumed, and the high-order harmonic polynomial cell (HPC) field method proposed by Shao and Faltinsen is used to solve the governing Laplace equation for the velocity potential ? numerically. The present work deals with an immersed boundary method without and with the use of an octree technique for local grid refinement near the air-water interface, and examines only wave propagation; dealing with wave-body interactions is planned as a future development.