FULLY NONLINEAR WATER WAVE COMPUTATIONS USING THE DESINGULARIZED METHOD

The use of Euler-Lagrange time stepping methods to solve numerically fully nonlinear marine hydrodynamic problems is discussed. The mixed boundary value problem that arises at each time step is solved using a desingularized approach. In this approach the singularities generating the flow field are outside the fluid domain. This allows the singularity distribution to be replaced by simple isolated singularities with a resultant reduction in computational complexity and computer time. Various examples of the use of the method are presented including two-dimensional water wave problems, the added mass and damping due to sinusoidal oscillations of two-dimensional water wave problems, the added mass and damping due to sinusoidal oscillations of two-dimensional and axial symmetric bodies, and the wave pattern and wave resistance of a Wigley hull moving at constant forward speed. The results show excellent agreement with other published computations and good agreement with experiments.