Forty years of calculating water waves and their interactions with bodies
--- Reflections from a personal journey
Professor Dick K.P. Yue, Massachusetts Institute of Technology
Starting with the hybrid finite element method for wave diffraction/radiation presented at the 11th Symposium on Naval Hydrodynamics in London in 1976, I trace a personal journey in developing computations of water waves and wave-body interactions. The methods we develop include nonlinear Schrodinger equation models, fully nonlinear mixed-Eulerian-Lagrangian approaches, high-order spectral method, high-order spectral-element method, panel methods, large-amplitude motions program, finite-difference methods, level-set method, volume-of-fluid methods, and smoothed-particle hydrodynamics method. I highlight each with specific applications, ranging from collapsing cavities, to plunging wave impact, to large-scale phase-resolved simulations to capture rogue waves. I emphasize the many interconnections and lessons learned along the way.