Fully nonlinear freesurface simulations by a 3D viscous numerical wave tank Academic Article uri icon


  • A finite difference scheme using a modified marker-and-cell (MAC) method is applied to investigate the characteristics of non-linear wave motions and their interactions with a stationary three-dimensional body inside a numerical wave tank (NWT). The Navier-Stokes (NS) equation is solved for two fluid layers, and the boundary values are updated at each time step by a finite difference time marching scheme in the frame of a rectangular co-ordinate system. The viscous stresses and surface tension are neglected in the dynamic free-surface condition, and the fully non-linear kinematic free-surface condition is satisfied by the density function method developed for two fluid layers. The incident waves are generated from the inflow boundary by prescribing a velocity profile resembling flexible flap wavemaker motions, and the outgoing waves are numerically dissipated inside an artificial damping zone located at the end of the tank. The present NS-MAC NWT simulations for a vertical truncated circular cylinder inside a rectangular wave tank are compared with the experimental results of Mercier and Niedzwecki, an independently developed potential-based fully non-linear NWT, and the second-order diffraction computation.

published proceedings

  • International Journal for Numerical Methods in Fluids

author list (cited authors)

  • Park, J., Kim, M., & Miyata, H.

citation count

  • 101

complete list of authors

  • Park, Jong‐Chun||Kim, Moo‐Hyun||Miyata, Hideaki

publication date

  • March 1999